construction of common fixed points of a countable family of λ demicontractive mappings in arbitrary banach spaces we propose iterative mann type schemes to approximate a common fixed point of a countable family of l demicontractive and l lipschitzain mappings this improves the recent result of chidume et al c e chidume m abbas bashir ali convergence of the mann iteration algorithm for a class of pseudocontractive mappings appl math comput 194 1 2007 1 6 from a single strictly pseudocontractive mapping to a family of more general mappings

pointwise lipschitzian mappings in uniformly convex and uniformly smooth banach spaces abstract let x be a uniformly convex and uniformly smooth banach space let t c c be an asymptotic pointwise nonexpansive mapping where c is a bounded closed and convex subset of x in this paper we investigate conditions sufficient for the weak convergence of the generalized mann and ishikawa processes to a fixed point of t

fixed point iterations for asymptotically nonexpansive mappings in banach spaces in this paper we suggest and analyze a three step iterative scheme for asymptotically nonexpansive mappings in banach spaces the new iterative scheme includes ishikawa type and mann type interations as special cases the results obtained in this paper represent an extension as well as refinement of previous known results

new approximation schemes for general variational inequalities in this paper we suggest and consider a class of new three step approximation schemes for general variational inequalities our results include ishikawa and mann iterations as special cases we also study the convergence criteria of these schemes

three step iterations for nonlinear accretive operator equations abstract in this paper we suggest and analyze a three step iterative scheme for solving nonlinear strongly accretive operator equation tx f without continuous condition in a uniformly smooth banach space our results include the ishikawa mann and noor iterations as special cases the results presented in this paper improve and extend almost all the current results in the more general setting

three steps iterative algorithms for mixed variational inequalities it is well known that the mixed variational inequalities are equivalent to the fixed point problems and the resolvent equations using this equivalence we suggest and consider a new three step iterative method for solving mixed variational inequalities the new iterative method is obtained by using three steps under suitable conditions we prove that the new method is globally convergent our results can be viewed as significant extensions of the previously known results for mixed variational inequalities since mixed variational inequalities include variational inequalities as special cases our method appears to be a new one for solving variational inequalities preliminary numerical experiments are included to illustrate the advantage and efficiency of the proposed method

iterative construction of fixed points of asymptotically nonexpansive mappings abstract let t be a completely continuous and asymptotically nonexpansive self mapping of a nonempty closed bounded and convex subset of a hilbert space then under certain conditions the sequence defined by xn 1 ntn xn 1 n x n converges strongly to some fixed point of t a similar result is obtained for asymptotically pseudocontractive mappings whose iterates are lipschitz continuous with respect to some common lipschitz constant

automatic image segmentation by dynamic region growth and multiresolution merging image segmentation is a fundamental task in many computer vision applications in this paper we propose a new unsupervised color image segmentation algorithm which exploits the information obtained from detecting edges in color images in the cie l a b color space to this effect by using a color gradient detection technique pixels without edges are clustered and labeled individually to identify some initial portion of the input image content elements that contain higher gradient densities are included by the dynamic generation of clusters as the algorithm progresses texture modeling is performed by color quantization and local entropy computation of the quantized image the obtained texture and color information along with a region growth map consisting of all fully grown regions are used to perform a unique multiresolution merging procedure to blend regions with similar characteristics experimental results obtained in comparison to published segmentation techniques demonstrate the performance advantages of the proposed method

approximating common fixed points of asymptotically nonexpansive maps in uniformly convex banach spaces we introduce three step iterative schemes with errors for two and three nonexpansive maps and establish weak and strong convergence theorems for these schemes mann type and ishikawa type convergence results are included in the analysis of these new iteration schemes the results presented in this paper substantially improve and extend the results due to s h khan h fukhar ud din weak and strong convergence of a scheme with errors for two nonexpansive mappings nonlinear anal 8 2005 1295 1301 n shahzad approximating fixed points of non self nonexpansive mappings in banach spaces nonlinear anal 61 2005 1031 1039 w takahashi t tamura convergence theorems for a pair of nonexpansive mappings j convex anal 5 1995 45 58 k k tan h k xu approximating fixed points of nonexpansive mappings by the ishikawa iteration process j math anal appl 178 1993 301 308 and h f senter w g dotson approximating fixed points of nonexpansive mappings proc amer math soc 44 1974 375 380

fixed point iterations for certain nonlinear mappings abstract in a recent paper schu established the convergence of the mann iterates of a completely continuous asymptotically nonexpansive mapping on a hilbert space in this paper we extend the result of schu to uniformly convex spaces we also obtain the same generalization for the ishikawa iteration process

a characterization of the convergence of picard iteration to a fixed point for a continuous mapping and an application necessary and sufficient conditions for the convergence of picard iteration to a fixed point for a continuous mapping in metric spaces are established as application we prove the convergence theorem of ishikawa iteration to a fixed point for a nonexpansive mapping in banach spaces

principles of multivariate analysis a user s perspective part i looking at multivariate data part ii samples populations and models part iii analysing ungrouped data part iv analysing grouped data part v analysing association among variables appendix some basic matrix theory a1 definitions a2 elementary arithmetic operations a3 determinants and inverses a4 quadratic forms a5 latent roots and vectors a6 matrix square root a7 partitioned matrices a8 vector differentiation references index

on the approximation problem of common fixed points for a finite family of non self asymptotically quasi nonexpansive type mappings in banach spaces the purpose of this paper is to introduce the concept of non self asymptotically quasi nonexpansive type mappings and to construct a iterative sequence to converge to a common fixed point for a finite family of non self asymptotically quasi nonexpansive type mappings in banach spaces the results presented in this paper improve and extend the corresponding results in alber chidume and zegeye ya i alber c e chidume h zegeye approximating of total asymptotically nonexpansive mappings fixed point theory and applications 2006 1 20 article id10673 ghosh and debnath m k ghosh l debnath convergence of ishikawa iterates of quasi nonexpansive mappings journal of mathematical analysis and applications 207 1997 96 103 liu q h liu iterative sequences for asymptotically quasi nonexpansive type mappings journal of mathematical analysis and applications 259 2001 1 37 q h liu iterative sequences for asymptotically quasi nonexpansive mappings with error member journal of mathematical analysis and applications 259 2001 18 24 q h liu iteration sequences for asymptotically quasi nonexpansive mapping with an error member of uniform convex banach space journal of mathematical analysis and applications 266 2002 468 471 petryshyn w v petryshyn t e williamson jr strong and weak convergence of the sequence of successive approximations for quasi nonexpansive mappings journal of mathematical analysis and applications 43 1973 459 497 quan and chang j quan s s chang x j long approximation common fixed point of asymptotically quasi nonexpansive type mappings by the finite steps iterative sequences fixed point theory and applications v 2006 1 38 article id 70830 shahzad and udomene n shahzad a udomene approximating common fixed point of two asymptotically quasi nonexpansive mappings in banach spaces fixed point theory and applications 2006 1 10 article id 18909 xu b l xu m a noor fixed point iterations for asymptotically nonexpansive mappings in banach spaces journal of mathematical analysis and applications 267 2002 444 453 zhang s s zhang iterative approximation problem of fixed points for asymptotically nonexpansive mappings in banach spaces acta mathematicae applicatae sinica 24 2001 236 241 and zhou and chang y y zhou s s chang convergence of implicit iteration process for a finite family of asymptotically nonexpansive mappings in banach spaces numerical functional analysis and optimization 23 2002 911 921

existence and some limits of stationary solutions to a one dimensional bipolar euler poisson system abstract in this paper we study the stationary flow for a one dimensional isentropic bipolar euler poisson system hydrodynamic model for semiconductor devices this model consists of the continuous equations for the electron and hole densities and their current densities coupled the poisson equation of the electrostatic potential in a bounded interval supplemented by the proper boundary conditions we first show the unique existence of stationary solutions of the one dimensional isentropic hydrodynamic model based on the schauder fixed point principle and the careful energy estimates next we investigate the zero electron mass limit combined zero electron mass and zero hole mass limit the zero relaxation time limit and the debye length quasi neutral limit respectively we also show the strong convergence of the sequence of solutions and give the associated convergence rates

asymptotic behavior of solutions to euler poisson equations for bipolar hydrodynamic model of semiconductors abstract in this paper we study the cauchy problem for 1 d euler poisson system which represents a physically relevant hydrodynamic model but also a challenging case for a bipolar semiconductor device by considering two different pressure functions and a non flat doping profile different from the previous studies gasser et al 2003 7 huang et al 2011 12 huang et al 2012 13 for the case with two identical pressure functions and zero doping profile we realize that the asymptotic profiles of this more physical model are their corresponding stationary waves steady state solutions rather than the diffusion waves furthermore we prove that when the flow is fully subsonic by means of a technical energy method with some new development the smooth solutions of the system are unique exist globally and time algebraically converge to the corresponding stationary solutions the optimal algebraic convergence rates are obtained

convergence of iterates with errors of asymptotically quasi nonexpansive mappings and applications in this paper we consider a generalized iterative process with errors to approximate the common fixed points of two asymptotically quasi nonexpansive mappings a convergence theorem has been obtained which generalizes a known result this theorem has then been used to prove another convergence theorem which in turn generalizes a number of results

weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in banach spaces abstract let e be a real uniformly convex banach space whose dual space e satisfies the kadec klee property k be a closed convex nonempty subset of e let t 1 t 2 t m k k be asymptotically nonexpansive mappings of k into e with sequences respectively k i n n 1 satisfying k i n 1 as n i 1 2 m and n 1 k i n 1 for arbitrary 0 1 let i n n 1 be a sequence in 1 for each i 1 2 m respectively let x n be a sequence generated for m 2 by x 1 k x n 1 1 1 n x n 1 n t 1 n y n m 2 y n m 2 1 2 n x n 2 n t 2 n y n m 3 y n 1 m n x n m n t m n x n n 1 let i 1 m f t i then x n converges weakly to a common fixed point of the family t i i 1 m under some appropriate condition on the family t i i 1 m a strong convergence theorem is also proved

weak and strong convergence theorems for three step iterations with errors for asymptotically nonexpansive mappings abstract in the present paper several weak and strong convergence theorems are established for the three step iterative schemes with errors for asymptotically nonexpansive mappings our results extend and improve the recent ones announced by tan and xu xu and noor and many others

approximating common fixed points of asymptotically quasi nonexpansive mappings by a k 1 step iterative scheme with error terms in this paper a k 1 step iterative scheme with error terms involving k 1 asymptotically quasi nonexpansive mappings is studied in usual banach spaces some sufficient and necessary conditions are given for the iterative scheme to approximate a common fixed point in uniformly convex banach spaces power equicontinuity for a mapping is introduced and a series of new convergence theorems are established several known results in the current literature are extended and refined

distances on probability measures and random variables in this paper we lift fundamental topological structures on probability measures and random variables in particular the weak topology convergence in law and finite dimensional convergence to an isometric level this allows for an isometric quantitative study of important concepts such as relative compactness tightness stochastic equicontinuity prohorov s theorem and smoothness in doing so we obtain numerical results which allow for the development of an intrinsic approximation theory and from which moreover all classical topological results follow as easy corollaries

global existence and asymptotic behavior of the solutions to the three dimensional bipolar euler poisson systems abstract in this paper the global existence of smooth solutions for the three dimensional bipolar hydrodynamic model is studied when the initial data are close to a constant state the l 2 decay rate of the solutions is also obtained our approach is based on the detailed analysis of the green function of the linearized system and the elaborate energy estimates as far as we known it is the first result about the existence and l 2 decay rate of global smooth solutions to the multi dimensional bipolar hydrodynamic model

weak and strong convergence criteria of noor iterations for asymptotically nonexpansive mappings in this paper weak and strong convergence theorems are established for a three step iterative scheme for asymptotically nonexpansive mappings in banach spaces mann type and ishikawa type iterations are included by the new iterative scheme the results obtained in this paper extend and improve the recent ones announced by xu and noor glowinski and le tallec noor ishikawa and many others

iterative procedures for solutions of random operator equations in banach spaces we construct random iterative processes for weakly contractive and asymptotically nonexpansive random operators and study necessary conditions for the convergence of these processes it is shown that they converge to the random fixed points of these operators in the setting of banach spaces we also proved that an implicit random iterative process converges to the common random fixed point of a finite family of asymptotically quasi nonexpansive random operators in uniformly convex banach spaces

zip bifurcation in a competition model on considere le systeme s s 1 s k m 1 x 1 s a 1 s m 2 x 2 s a 2 s x 1 m 1 x 1 s a 1 s d 1 w 1 x 2 m 2 x 2 s a 2 s d 2 x 2 soit i a i d i m i d i on etudie le cas 1 2

permutation inference for canonical correlation analysis canonical correlation analysis cca has become a key tool for population neuroimaging allowing investigation of associations between many imaging and non imaging measurements as age sex and other variables are often a source of variability not of direct interest previous work has used cca on residuals from a model that removes these effects then proceeded directly to permutation inference we show that a simple permutation test as typically used to identify significant modes of shared variation on such data adjusted for nuisance variables produces inflated error rates the reason is that residualisation introduces dependencies among the observations that violate the exchangeability assumption even in the absence of nuisance variables however a simple permutation test for cca also leads to excess error rates for all canonical correlations other than the first the reason is that a simple permutation scheme does not ignore the variability already explained by previous canonical variables here we propose solutions for both problems in the case of nuisance variables we show that transforming the residuals to a lower dimensional basis where exchangeability holds results in a valid permutation test for more general cases with or without nuisance variables we propose estimating the canonical correlations in a stepwise manner removing at each iteration the variance already explained while dealing with different number of variables in both sides we also discuss how to address the multiplicity of tests proposing an admissible test that is not conservative and provide a complete algorithm for permutation inference for cca

common fixed points noor iteration for a finite family of asymptotically quasi nonexpansive mappings in banach spaces in this paper we introduce a general iteration scheme for a finite family of asymptotically quasi nonexpansive mappings the new iterative scheme includes the modified mann and ishikawa iterations three step iterative scheme of xu and noor and khan and takahashi scheme as special cases our results are generalizations as well as refinement of several known results in the current literature

fixed point results for a generalized nonexpansive map in uniformly convex metric spaces abstract in this paper the existence of a unique fixed point of a map satisfying a very general contractive condition on a suitable subset of a uniformly convex metric space is proved this fixed point is approximated by averaging krasnosel skii iterations of a generalized nonexpansive map our results substantially improve and extend several known results existing in the literature

convergence of ishikawa iterates of quasi nonexpansive mappings abstract this paper deals with a necessary and sufficient condition for the convergence of ishikawa iterates of quasi nonexpansive mapping in a banach space the convergence of ishikawa iterates for nonexpansive mappings in a uniformly convex banach space is also discussed

alternative confidence regions for canonical variate analysis summary recent papers have questioned the appropriateness of the circular confidence regions often drawn around group mean points in canonical variate analysis and proposed improved elliptical regions this paper develops new theoretical and bootstrap regions of an alternative type with those constructed using parametric bootstrapping being shown by simulation to perform consistently well

non parametric detection of the number of signals hypothesis testing and random matrix theory detection of the number of signals embedded in noise is a fundamental problem in signal and array processing this paper focuses on the non parametric setting where no knowledge of the array manifold is assumed first we present a detailed statistical analysis of this problem including an analysis of the signal strength required for detection with high probability and the form of the optimal detection test under certain conditions where such a test exists second combining this analysis with recent results from random matrix theory we present a new algorithm for detection of the number of sources via a sequence of hypothesis tests we theoretically analyze the consistency and detection performance of the proposed algorithm showing its superiority compared to the standard minimum description length mdl based estimator a series of simulations confirm our theoretical analysis

simpler is also better in approximating fixed points in this paper we demonstrate that a number of fixed point iteration problems can be solved using a modified krasnoselskij iteration process which is much simpler to use than the other iteration schemes that have been defined

sensitivity in metric scaling and analysis of distance summary assessing the sensitivity or sampling variability of multivariate ordination methods is essential if inferences are to be drawn from the analysis but such assessment has to date been notably absent in many applications of multidimensional scaling mds the only available technique seems to be the one by deleeuw and meulman 1986 journal of classification3 97 112 who proposed a special jackknife in a general mds setting but this method does not appear to have been widely used to date a possible reason for this is that it is perceived to be computationally daunting however if attention is focused on classical metric scaling principal coordinate analysis then known analytical results can be used and the apparent computational complexity disappears the purpose of this article is to set out these results to indicate their use in more general analysis of distance and to illustrate the methodology on some biometric examples

convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces abstract in this paper we establish convergence theorems for a general algorithm of an asymptotically nonexpansive map in a uniformly convex hyperbolic space our results generalize simultaneously the approximation results of rhoades 1994 18 suantai 2005 20 and xu and noor 2002 26 on a nonlinear domain our results are refinements and generalizations of the corresponding ones in uniformly convex banach spaces and cat 0 spaces

strong convergence of an implicit iteration process for a finite family of asymptotically quasi nonexpansive mappings in the present paper we prove that the modified implicit iteration sequence for a finite family of asymptotically quasi nonexpansive mappings converges strongly to a common fixed point of the family in a uniformly convex banach space requiring one member t in the family to be semi compact our results extend and improve some recent results

existence and uniqueness of stationary solutions to a one dimensional bipolar hydrodynamic model of semiconductors we consider a one dimensional bipolar hydrodynamic model of semiconductors although some results exist for the bipolar case almost their conditions the boundary condition the doping profile etc are far from practical application in the present paper under a condition appropriate for engineering we shall prove the existence and the uniqueness of classical solutions for the stationary problem the most difficult point is to obtain the bounded estimate and the energy estimate

on convergence of a sequence in complete metric spaces and its applications to some iterates of quasi nonexpansive mappings abstract the purpose of this paper is to establish some theorems on convergence of a sequence in complete metric spaces as applications some results of ghosh and debnath j math anal appl 207 1997 96 103 kirk ann univ mariae curie sklodowska sect a li 2 15 1997 167 178 and petryshyn and williamson j math anal appl 43 1973 459 497 are obtained from our results as special cases also we give comments on some results in j math anal appl 207 1997 96 103 j math anal appl 43 1973 459 497 some examples are introduced to support our comments

stability of steady state solutions for an isentropic hydrodynamic model of semiconductors of two species abstract we discuss the stability of the steady state solutions for an isentropic hydrodynamic model of semiconductors of two species we consider not only the mass and momentum equations for electrons but also those two equations for holes the recombination effects between electrons and holes are taken into consideration as well we study the case where the doping profile is close to zero and depends on the spacial variable x we shall show that steady state solutions are asymptotically stable

map learning with uninterpreted sensors and effectors this dissertation presents a set of methods by which a learning agent called a critter can learn a sequence of increasingly abstract and powerful interfaces to control a robot whose sensorimotor apparatus and environment are initially unknown the result of the learning is a rich hierarchical model of the robot s world its sensorimotor apparatus and environment the learning methods rely on generic properties of the robot s world such as almost everywhere smooth effects of actions on sensory features at the lowest level of the hierarchy the critter analyzes the effects of its actions in order to define control signals one for each of the robot s degrees of freedom it uses a generate and test approach to define sensory features that capture important aspects of the environment it uses linear regression to learn action models that characterize context dependent effects of the control signals on the learned features it uses these models to define high level control laws for finding and following paths defined using constraints on the learned features the critter abstracts these control laws which interact with the continuous environment to a finite set of actions that implement discrete state transitions at this point the critter has abstracted the robot s world to a finite state machine and can use existing methods to learn its structure

generalised bilinear regression summary this paper discusses the application of generalised linear methods to bilinear models by criss cross regression it proposes an extension to segmented bilinear models in which the expectation matrix is linked to a sum in which each segment has specified row and column covariance matrices as well as a coefficient parameter matrix that is specified only by its rank this extension includes a variety of biadditive models including the generalised tukey degree of freedom for non additivity model that consists of two bilinear segments one of which is constant the extension also covers a variety of other models for which least squares fits had not hitherto been available such as higher way layouts combined into the rows and columns of a matrix and a harmonic model which can be reparameterised so a lower rank fit is equivalent to a constant phase parameter a number of practical applications are provided including displaying fits by biplots and using them to diagnose models

convergence theorems for nonself asymptotically nonexpansive mappings in this paper we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex banach space this will improve and generalize the corresponding results in the existing literature finally we will state that our theorems can be generalized to the case of finitely many mappings

convergence of an ishikawa type iterative scheme for asymptotically quasi nonexpansive mappings in convex metric spaces the ishikawa iteration process and the ishikawa iteration process with errors is defined for asymptotically quasi nonexpansive mappings it is proved some sufficient and necessary conditions for the iterative scheme converges to the fixed point of the asymptotically quasi nonexpansive mappings these results generalize and unify many important known results in recent literature

iterative sequence for asymptotically demicontractive maps in banach spaces abstract let e be a real banach space and t e e an asymptotically demicontractive and uniformly l lipschitzian map with f t x e tx x we prove necessary and sufficient conditions for the strong convergence of the mann iterative sequence to a fixed point of t

convergence theorems for common fixed points of asymptotically quasi nonexpansive mappings in convex metric spaces abstract in this paper we consider an implicit iteration process to approximate the common fixed points of two finite families of asymptotically quasi nonexpansive mappings in convex metric spaces as a consequence of our result we obtain some related convergence theorems our results generalize some recent results of khan and ahmed 4 khan et al 6 sun 12 wittmann 14 and xu and ori 15

weak and strong convergence theorems for a finite family of generalized asymptotically quasi nonexpansive mappings in this paper we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi nonexpansive mappings in a uniformly convex banach space we establish weak and strong convergence theorems our main results improve and extend the corresponding ones obtained in schu 1991 j schu iterative construction of fixed points of asymptotically nonexpansive mapping j math anal appl 159 1991 407 413 and many others

relaxation limit in bipolar semiconductor hydrodynamic model with non constant doping profile abstract the relaxation limit from bipolar semiconductor hydrodynamic hd model to drift diffusion dd model is shown under the non constant doping profile assumption for both stationary solutions and global in time solutions which satisfy the general form of the ohmic contact boundary condition the initial layer phenomenon will be analyzed because the initial data is not necessarily in the momentum equilibrium due to the bipolar coupling structure the analysis is hard and different from the previous literature on unipolar model or bipolar model with zero doping profile restriction we first construct the non constant uniform stationary solutions by the operator method for both hd and dd models in a unified procedure then we prove the global existence of dd model and uniform global existence of hd model by the elementary energy method but with some new developments based on the above existence results we further calculate the convergence rates in relaxation limits

convergence theorem for i asymptotically quasi nonexpansive mapping in hilbert space abstract let h be a hilbert space with inner product and norm and let k be weakly compact a subset of h let t k k be nonlinear mapping and i k k be a nonlinear bounded mapping in this paper we define the i asymptotically quasi nonexpansive mapping in hilbert space if t is an i asymptotically quasi nonexpansive mapping then we prove that 1 n i 0 n 1 t i u for u k as n is weakly almost convergent to its asymptotic center

rao s distance between normal populations that have common principal components summary a theoretical derivation is provided of rao s distance between two normal populations that have different means and whose dispersion matrices satisfy the common principal component model according to this model the dispersion matrices share the same eigenvectors but are permitted to have arbitrary eigenvalues this structure is useful for modeling a variety of real data sets so the theoretical result has important practical implications it is illustrated on a biometric data set

subset selection in multiple linear regression models a hybrid of genetic and simulated annealing algorithms the question of variable selection in a multiple linear regression model is a major open research topic in statistics the subset selection problem in multiple linear regression deals with the selection of a minimal subset of input variables without loss of explanatory power in this paper we adapt the genetic and simulated annealing algorithms for variable selection in multiple linear regression the performance of this hybrid heuristic method is compared to those obtained by forward selection backward elimination and classical genetic algorithm search a comparative analysis on the literature data sets and simulation data shows that our hybrid heuristic method may suggest efficient alternative to traditional subset selection methods for the variable selection problem in multiple linear regression models

strong convergence of a general iteration scheme in cat 0 spaces abstract we introduce and study strong convergence of a general iteration scheme for a finite family of asymptotically quasi nonexpansive maps in convex metric spaces and c a t 0 spaces the new iteration scheme includes modified mann and ishikawa iterations the three step iteration scheme of xu and noor and the scheme of khan domlo and fukhar ud din as special cases in banach spaces our results are refinements and generalizations of several recent results from the current literature

a new approximation method for common fixed points of a finite family of asymptotically quasi nonexpansive mappings in banach spaces in this paper we consider a new iterative scheme to approximate a common fixed point for a finite family of asymptotically quasi nonexpansive mappings we prove several strong and weak convergence results of the proposed iteration in banach spaces these results generalize and refine many known results in the current literature

convergence of the mann iteration algorithm for a class of pseudocontractive mappings let k be a nonempty closed and convex subset of a real banach space e let t k k be a strictly pseudocontractive map in the sense of browder and petryshyn for a fixed x email protected k define a sequence x n byx n 1 email protected n x email protected ntx n where a n is a real sequence defined in 0 1 satisfying the following conditions i n 1 email protected n ii n 1 email protected n 2 email protected x n tx email protected 0 if in addition t is demicompact then x n converges strongly to some fixed point of t

three step iterative algorithms for multivalued quasi variational inclusions in this paper we suggest and analyze some new classes of three step iterative algorithms for solving multivalued quasi variational inclusions by using the resolvent equations technique new iterative algorithms include the ishikawa mann and noor iterations for solving variational inclusions inequalities and optimization problems as special cases the results obtained in this paper represent an improvement and a significant refinement of previously known results

convergence of a general iterative scheme for a finite family of asymptotically quasi nonexpansive mappings in convex metric spaces and applications in this paper we introduce the iterative scheme due to khan domlo and fukhar ud din 2008 8 in convex metric spaces and establish strong convergence of this scheme to a unique common fixed point of a finite family of asymptotically quasi nonexpansive mappings as a consequence of our result we obtain some related convergence theorems our results generalize some recent results obtained in 8

some developments in general variational inequalities general variational inequalities provide us with a unified natural novel and simple framework to study a wide class of equilibrium problems arising in pure and applied sciences in this paper we present a number of new and known numerical techniques for solving general variational inequalities using various techniques including projection wiener hopf equations updating the solution auxiliary principle inertial proximal penalty function dynamical system and well posedness we also consider the local and global uniqueness of the solution and sensitivity analysis of the general variational inequalities as well as the finite convergence of the projection type algorithms our proofs of convergence are very simple as compared with other methods our results present a significant improvement of previously known methods for solving variational inequalities and related optimization problems since the general variational inequalities include quasi variational inequalities and quasi implicit complementarity problems as special cases results presented here continue to hold for these problems several open problems have been suggested for further research in these areas

biological shape analysis by digital curvature univ sao paulo ifsc inst phys sao carlos cybernet vis res grp br 13560970 sao carlos sp brazil

common fixed point iterative processes with errors for generalized asymptotically quasi nonexpansive mappings in this paper we introduce a new class of iterative procedures with errors for approximating the common fixed point of two generalized asymptotically quasi nonexpansive mappings and prove several strong convergence results for the iterative sequence with errors in banach spaces we not only answer the open question proposed by zhou et al 1 but also extend and improve some recent corresponding results in the literature

solving the protein sequence metric problem biological sequences are composed of long strings of alphabetic letters rather than arrays of numerical values lack of a natural underlying metric for comparing such alphabetic data significantly inhibits sophisticated statistical analyses of sequences modeling structural and functional aspects of proteins and related problems herein we use multivariate statistical analyses on almost 500 amino acid attributes to produce a small set of highly interpretable numeric patterns of amino acid variability these high dimensional attribute data are summarized by five multidimensional patterns of attribute covariation that reflect polarity secondary structure molecular volume codon diversity and electrostatic charge numerical scores for each amino acid then transform amino acid sequences for statistical analyses relationships between transformed data and amino acid substitution matrices show significant associations for polarity and codon diversity scores transformed alphabetic data are used in analysis of variance and discriminant analysis to study dna binding in the basic helix loop helix proteins the transformed scores offer a general solution for analyzing a wide variety of sequence analysis problems

weak and strong convergence of a scheme with errors for two nonexpansive mappings abstract in this paper we are concerned with the study of an iterative scheme with errors involving two nonexpansive mappings we approximate the common fixed points of these two mappings by weak and strong convergence of the scheme in a uniformly convex banach space under a condition weaker than compactness

multivariate hydrological frequency analysis using copulas 1 this article presents the modeling of multivariate extreme values using copulas our approach allows us to model the dependence structure independently of the marginal distributions which is not possible with standard classical methods the methodology has been applied on two different problems in hydrology the first application is concerned with the combined risk in the framework of frequency analysis four copulas have been tested on peak flows from the watershed of peribonka in quebec canada the second application relates to the joint modeling of peak flows and volumes three copulas have been applied to the watershed of the rimouski river in quebec canada this approach using copulas is promising since it allows us to take into account a wide range of correlation which can happen in hydrology

common canonical variates in k independent groups abstract suppose that data are collected from k independent but closely related populations and that a canonical correlation analysis is to be performed within each group in such a situation it may turn out that the transformation to canonical variates is similar across all k groups the common canonical variates model studied in this article assumes that the transformation to canonical variates is actually identical across groups while the canonical correlations may vary we develop some algebra of the common canonical variates model discuss normal theory maximum likelihood estimation and likelihood ratio testing give illustrative examples

a hybrid iterative scheme for equilibrium problems and fixed point problems of asymptotically k strict pseudo contractions in this paper we propose an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of asymptotically k strict pseudo contractions in the setting of real hilbert spaces by using our proposed scheme we get a weak convergence theorem for a finite family of asymptotically k strict pseudo contractions and then we modify these algorithm to have strong convergence theorem by using the two hybrid methods in the mathematical programming our results improve and extend the recent ones announced by ceng et al s result l c ceng al homidan q h ansari and j c yao an iterative scheme for equilibrium problems and fixed point problems of strict pseudo contraction mappings j comput appl math 223 2009 967 974 qin cho kang and shang x qin y j cho s m kang and m shang a hybrid iterative scheme for asymptotically k strict pseudo contractions in hilbert spaces nonlinear anal 70 2009 1902 1911 and other authors

relaxation limit of the one dimensional bipolar euler poisson system in the bound domain in this paper we present a one dimensional bipolar hydrodynamic model from semiconductor devices and plasmas which takes the form of bipolar isothermal euler poisson with electric field and frictional damping added to the momentum equations from proper scaling when the relaxation time in the bipolar euler poisson system tends to zero we can obtain the bipolar drift diffusion equation first we show that the solutions to the initial boundary value problems of the bipolar euler poisson system and the corresponding drift diffusion equation converge to their stationary solutions as time tends to infinity respectively then it is shown that the solution for the bipolar euler poisson equation converges to that of the corresponding bipolar drift diffusion equations as the relaxation time tends to zero with the initial layer

approximation of common fixed points for finite families of total asymptotically nonexpansive mappings abstract let e be a real banach space k a closed convex nonempty subset of e let t 1 t 2 t m k k be m total asymptotically nonexpansive mappings an iterative sequence for approximation of common fixed points assuming existence of t 1 t 2 t m is constructed necessary and sufficient conditions for the convergence of the scheme to a common fixed point of the mappings are given furthermore in the case that e is uniformly convex a sufficient condition for convergence of the iteration process to a common fixed point of mappings under our setting is established

inequalities in banach spaces with applications well known that many problems in a hilbert space h are solved by applying the following identity ilax 1 a yi12 a412 1 llyl12 a 1 mx yl12 1 1 for all x y in h and 0 5 i 5 1 therefore one natural method to solve problems in a banach space xis to establish equalities and usually inequalities in xanalogous to 1 1 this is in fact shown by some authors recent work see for example reich l poffald and reich 2 lim 3 lim et af 4 prus and smarzewski 5 smarzewski 6 and reich 21 the purpose of this paper is to continue carrying out investigations in this line more precisely in section 3 we establish some inequalities analogous to 1 l in either uniformly convex or uniformly smooth banach spaces as corollaries we obtain new characteristics of p uniform convexity and q uniform smoothness of a banach space x via the functionals i lip and ii llq respectively we give in section 4 applications of the inequalities obtained in section 3 to fixed points of uniformly lipschitzian mappings and to best approximation theory

strong convergence theorems with a noor type iterative scheme in convex metric spaces the paper introduces some new mappings in convex metric spaces and then it considers a noor type iterative scheme to approximate common fixed points of an infinite family of uniformly quasi sup f n lipschitzian mappings and an infinite family of g n expansive mappings in convex metric spaces its results generalize improve and unify some results in chang et al 2010 13 fukhar ud din and khan 2007 14 liu et al 2010 17 tian 2005 7 wang and liu 2009 19 and wang et al 2009 20 under some appropriate conditions

asymptotically strict pseudocontractive mappings in the intermediate sense abstract it is proved that the modified mann iteration process x n 1 1 n x n n t n x n n n where n is a sequence in 0 1 with n 1 for some 0 1 converges weakly to a fixed point of an asymptotically strict pseudocontractive mapping t in the intermediate sense which is not necessarily lipschitzian we also develop cq method for this modified mann iteration process which generates a strongly convergent sequence