markov chain of distances between parked cars we describe the distribution of distances between parked cars as a solution of certain markov processes and show that its solution is obtained with the help of a distributional fixed point equation under certain conditions the process is solved explicitly the resulting probability density is compared with the actual parking data measured in the city

asymptotic distributions of the zeros of certain classes of gauss hypergeometric polynomials abstract we study the asymptotic distribution of the zeros of certain classes of gauss hypergeometric polynomials classical analytic methods such as watson s lemma and the method of steepest descents are used to analyze the large n behavior of the zeros of the gauss hypergeometric polynomials 2 f 1 n a kn b z 2 f 1 n kn c kn c z and 2 f 1 n pn z where n is a nonnegative integer the constants k a 0 p 1 and b c r owing to the connection between jacobi polynomials and gauss hypergeometric polynomials we prove a special case of a conjecture made by martinez finkelshtein martinez gonzalez and orive numerical evidence and graphical illustrations of the clustering of zeros on certain curves are generated by mathematica version 4 0

common fixed points for multimaps in a metric space on etablit certaines proprietes des fonctions reelles et on les applique pour obtenir des ameliorations aux resultats de papageorgiou sur les points fixes des fonctions multiformes on etend au cas non borne

interlacing of zeros of gegenbauer polynomials of non consecutive degree from different sequences a theorem due to stieltjes states that if p n n 0 infty is any orthogonal sequence then between any two consecutive zeros of p k there is at least one zero of p n whenever k frac 12 if 0 t k 1 and also to the zeros of c n 1 lambda and c n 2 lambda k if k in 1 2 3 more generally we prove that stieltjes interlacing holds between the zeros of the kth derivative of c n lambda and the zeros of c n 1 lambda k in 1 2 dots n 1 and we derive associated polynomials that play an analogous role to the de boor saff polynomials in completing the interlacing process of the zeros

schur ostrowski type theorems revisited abstract in this paper we extend schur ostrowski theorem on schur convex functions from majorized vectors to separable ones for this we introduce a generalized schur ostrowski s condition we apply the obtained result for cone orderings and group induced cone orderings finally we give some interpretations for absolutely weak majorization and for group majorization on the space of complex matrices

real zeros of 2f1 hypergeometric polynomials we use a method based on the division algorithm to determine all the values of the real parameters b and c for which the hypergeometric polynomials 2f 1 n b c z have n real simple zeros furthermore we use the quasi orthogonality of jacobi polynomials to determine the intervals on the real line where the zeros are located

competitive random sequential adsorption of point and fixed sized particles analytical results we study the kinetics of competitive random sequential adsorption rsa of particles of binary mixture of points and fixed sized particles within the mean field approach the present work is a generalization of the random car parking problem in the sense that it considers the case when either a car of fixed size is parked with probability q or the parking space is partitioned into two smaller spaces with probability 1 q at each time event this allows an interesting interplay between the classical rsa problem at one extreme q 1 and the kinetics of fragmentation processes at the other extreme q 0 we present exact analytical results for coverage for a whole range of q values and physical explanations are given for different aspects of the problem in addition a comprehensive account of the scaling theory emphasizing dimensional analysis is presented and the exact expression for the scaling function and exponents are obtained

optimal systems of nodes for lagrange interpolation on bounded intervals a survey in this brief survey special attention is paid to some recent procedures for constructing optimal interpolation processes i e with lebesgue constant having logarithmic behaviour a new result on lagrange interpolation based on the zeros of the associated jacobi polynomials and on suitable additional nodes is given

convergence to common fixed point of nonexpansive semigroups let e be a uniformly convex banach space whose norm is uniformly gateaux differentiable c be closed convex subset of e s t s s 0 be a nonexpansive semigroup on c such that the set of common fixed points of t s s 0 is nonempty let f c c be a contraction a n b n t n be real sequences such that 0 a n 0 lim n b n 0 and lim n t n y 0 c in this paper we show that the two iterative sequence as follows x n a nf x n 1 a n 1t n 0 t nt s x nds y n 1 b nf y n 1 b n 1t n 0 t nt s y ndsconverge strongly to a common fixed point of t s s 0 which solves some variational inequality when a n b n satisfy some appropriate conditions

gap size distribution functions of a random sequential adsorption model of segments on a line we performed extensive simulations accompanied by a detailed study of a two segment size random sequential model on the line we followed the kinetics towards the jamming state but we paid particular attention to the characterization of the jamming state structure in particular we studied the effect of the size ratio on the mean gap size the gap size dispersion gap size skewness and gap size kurtosis at the jamming state we also analyzed the above quantities for the four possible segment to segment gap types we ranged the values of the size ratio from one to twenty in the limit of a size ratio of one one recovers the classical car parking problem we observed that at low size ratios the jamming state is constituted by short streaks of small and large segments while at high values of the size ratio the jamming state structure is formed by long streaks of small segments separated by a single large segment this view of the jamming state structure as a function of the size ratio is supported by the various measured quantities the present work can help provide insight for example on how to minimize the interparticle distance or minimize fluctuations around the mean particle to particle distance

rhoades type fixed point theorems for two hybrid pairs of mappings in metrically convex spaces abstract the present paper establishes some common fixed point theorems for two hybrid pairs of nonself mappings defined on a closed subset of a metrically convex metric spaces which generalizes completely or partially some earlier results due to rhoades ciric and ume and many others some related results and an illustrative example are also discussed

common fixed point and invariant approximation results for noncommuting generalized f g nonexpansive maps we present common fixed point results for noncommuting generalized f g nonexpansive maps as application invariant approximation results are obtained our results unify and generalize various known results existing in the literature

modelling gap size distribution of parked cars using random matrix theory abstract we apply the random matrix theory to the car parking problem for this purpose we adopt a coulomb gas model that associates the coordinates of the gas particles with the eigenvalues of a random matrix the nature of interaction between the particles is consistent with the tendency of the drivers to park their cars near to each other and in the same time keep a distance sufficient for manoeuvring we show that the recently measured gap size distribution of parked cars in a number of roads in central london is well represented by the spacing distribution of a gaussian unitary ensemble

recursive approach to random sequential adsorption we present a generalization of renyi s a renyi trans math stat prob 4 205 1963 classical solution to the one dimensional random sequential adsorption rsa problem to the case where particle sizes are drawn from an arbitrary distribution a process known as competitive rsa we formulate the process using recursive relations and without explicitly solving the equations we extract limiting behavior which leads to exact analytic expressions for the final coverage our analysis is confirmed by computer simulations

cone orderings group majorizations and similarly separable vectors abstract we generalize some results on majorization in papers by wu and debnath s wu l debnath inequalities for convex sequences and their applications comput math appl 54 2007 525 534 and marshall et al a w marshall i olkin f proschan monotonicity of ratios of means and other applications of majorization in o shisha ed inequalities academic press new york 1967 pp 177 190 we present sufficient conditions for some vector inequalities to hold in the case of cone orderings and group induced cone orderings the framework used is based on results for similarly separable vectors given in paper m niezgoda bifractional inequalities and convex cones discrete math 306 2006 231 243

common fixed points for g f type maps in cone metric spaces abstract in this paper we study common fixed points for the self and non self g f type maps in cone metric spaces our main results are related to the cases when g is f quasi contraction in a sense of das and naik and the cone need not be normal these results generalize several well known comparable results in the literature

separation theorems for the zeros of certain hypergeometric polynomials we study interlacing properties of the zeros of two contiguous 2f1 hypergeometric polynomials we use the connection between hypergeometric 2f1 and jacobi polynomials as well as a monotonicity property of zeros of orthogonal polynomials due to markoff to prove that the zeros of contiguous hypergeometric polynomials separate each other we also discuss interlacing results for the zeros of 2f1 and those of the polynomial obtained by shifting one of the parameters of 2f1 by t where 0 t 1

rhoades type fixed point theorems for a pair of nonself mappings abstract using suitable conditions of weak commutativity we prove theorems for a pair of nonself mappings which generalize earlier results due to rhoades and assad et al some illustrative examples and applications are also discussed

zeros of 3 f 2 hypergeometric polynomials abstract we investigate the behaviour of the zeros of three distinct types of 3 f 2 hypergeometric polynomials each type of polynomial considered has degree 2 n and contains a free parameter b we describe the location of the zeros as b varies continuously through real values numerical tables of the zeros generated by mathematica are presented in confirmation of our stated results

analytical and numerical treatment of jungck type iterative schemes in this paper we introduce a new and general jungck type iterative scheme for a pair of nonself mappings and study its strong convergence stability and data dependence it is exhibited that our iterative scheme has much better convergence rate than those of jungck mann jungck ishikawa jungck noor and jungck cr iterative schemes numerical examples in support of validity and applications of our results are provided our results are extension improvement and generalization of many known results in the literature of fixed point theory

invariant approximations and r subweakly commuting maps the existence of invariant approximations for r subweakly commuting mappings is proved our results extend most of the known results to a new class of noncommuting mappings

some common fixed point theorems for weakly compatible mappings abstract jungck s g jungck compatible mappings and common fixed points int j math math sci 9 1986 771 779 notion of compatible mappings is further extended and used to prove some common fixed point theorems for weakly compatible non self mappings in complete convex metric spaces we improve on the method of proof used by rhoades b e rhoades a fixed point theorem for non self set valued mappings int j math math sci 20 1997 9 12 and ahmed and rhoades a ahmed b e rhoades some common fixed point theorems for compatible mappings indian j pure appl math 32 2001 1247 1254 and obtain generalization of some known results in particular a theorem by rhoades b e rhoades a fixed point theorem for non self set valued mappings int j math math sci 20 1997 9 12 is generalized and improved

polya frequency sequences and real zeros of some f23 polynomials we prove that the zeros of some families of f23 hypergeometric polynomials are all real and negative this result has a connection with the theory of polya frequency sequences and functions as a consequence we establish the asymptotic distribution of these zeros when the degree of the polynomials tends to infinity

multi valued nonlinear contraction mappings abstract two concepts of nonlinear contractions for multi valued mappings in complete metric spaces are introduced and three fixed point theorems are proved presented theorems are generalizations of very recent fixed point theorems due to klim and wardowski d klim d wardowski fixed point theorems for set valued contractions in complete metric spaces j math anal appl 334 2007 132 139 and feng and liu y feng s liu fixed point theorems for multi valued contractive mappings and multi valued caristi type mappings j math anal appl 317 2006 103 112 as well as a fixed point theorem of mizoguchi and takahashi n mizoguchi w takahash fixed point theorems for multi valued mappings on complete metric spaces j math anal appl 141 1989 177 188 and several others an example is given to show that presented results are genuine generalizations our results are also some contribution to an open problem raised by reich s reich fixed points of contractive functions boll unione mat ital 5 1972 26 42 s reich some fixed point problems atti acad naz lincei 57 1974 194 198 s reich some problems and results in fixed point theory contemp math 21 1983 179 187

equivalent contractive conditions in symmetric spaces in this paper we introduce 22 contractive conditions in symmetric spaces we prove that all these contractive conditions are equivalent then we use these conditions to get some common fixed point theorems for noncompatible maps

voronoi cell patterns theoretical model and applications we use a simple fragmentation model to describe the statistical behavior of the voronoi cell patterns generated by a homogeneous and isotropic set of points in 1d and in 2d in particular we are interested in the distribution of sizes of these voronoi cells our model is completely defined by two probability distributions in 1d and again in 2d the probability to add a new point inside an existing cell and the probability that this new point is at a particular position relative to the preexisting point inside this cell in 1d the first distribution depends on a single parameter while the second distribution is defined through a fragmentation kernel in 2d both distributions depend on a single parameter the fragmentation kernel and the control parameters are closely related to the physical properties of the specific system under study we use our model to describe the voronoi cell patterns of several systems specifically we study the island nucleation with irreversible attachment the 1d car parking problem the formation of second level administrative divisions and the pattern formed by the paris metro stations

approximation methods for common fixed points of infinite countable family of nonexpansive mappings let e be a real strictly convex and reflexive banach space with a uniformly gateaux differentiable norm and c be a nonempty closed convex subset of e consider the iterative sequence x n email protected n 1f x n email protected n email protected l n 1 w nx n where w n is the w mapping generated by an infinite countable family of nonexpansive mappings t n t n 1 t 1 and a n a n 1 a 1 such that the common fixed point sets email protected email protected n 1 f t n email protected and f c c is a given contractive mapping under very mild conditions on the parameters we prove that x n converges strongly to email protected f where p is the unique solution in f to the following variational inequality 0for all x f

common fixed point and approximation results for h operator pair with applications abstract the existence of common fixed point results for new classes of noncommuting selfmaps satisfying generalized i contraction or i nonexpansive type conditions is established as applications several invariant best approximation results are proved which unify extend and complement the well known results

banach operator pairs and common fixed points in hyperconvex metric spaces the purpose of this paper is to establish demarr s well known theorem for an arbitrary family of symmetric banach operator pairs in hyperconvex metric spaces without the compactness assumption we also give necessary and sufficient criteria for the existence of a common fixed point of a semigroup of isometric mappings as an application several results on the invariant best approximation are proved

on common fixed points in g metric spaces using e a property in this paper we introduce some new types of pairs of mappings f g on g metric spaces called g weakly commuting of type g f and g r weakly commuting of type g f we obtain also several common fixed point results by using the e a property

generalization and sharpness of the power means inequality and their applications abstract in this paper we generalize and sharpen the power means inequality by using the theory of majorization and the analytic techniques our results unify some optimal versions of the power means inequality as application a well known conjectured inequality proposed by janous et al is proven furthermore these results are used for studying a class of geometric inequalities for simplex from which some interesting inequalities including the refined euler inequality and the reversed finsler hadwiger type inequality are obtained

fixed point theorems for multi valued contractions in complete metric spaces abstract in this paper the concept of a contraction for multi valued mappings in a metric space is introduced and the existence theorems for fixed points of such contractions in a complete metric space are proved presented results generalize and improve the recent results of y feng s liu y feng s liu fixed point theorems for multi valued contractive mappings and multi valued caristi type mappings j math anal appl 317 2006 103 112 d klim d wardowski d klim d wardowski fixed point theorems for set valued contractions in complete metric spaces j math anal appl 334 2007 132 139 and several others the method used in the proofs of our results is new and is simpler than methods used in the corresponding papers two examples are given to show that our results are genuine generalization of the results of feng and liu and klim and wardowski

a fixed point theorem in menger space through weak compatibility this paper contains a fixed point theorem for six self maps in menger space our result generalizes and extends many known results in menger spaces and metric spaces

the inequalities for some types of q integrals using the restriction of the q integral over a b to a finite sum and q integral of riemann type we establish new integral inequalities of q chebyshev type q gruss type q hermite hadamard type and cauchy buniakowsky type some inequalities which include the boundaries of functions are also indicated

common fixed point theorems for non self mappings in metric spaces of hyperbolic type in this paper the concept of a pair of non linear contraction type mappings in a metric space of hyperbolic type is introduced and the conditions guaranteeing the existence of a common fixed point for such non linear contractions are established presented results generalize and improve some of the known results an example is constructed to show that our theorems are genuine generalizations of the main theorems of assad ciric khan et al rhoades and imdad and kumar one of the possible applications of our results is also presented

extended lagrange interpolation in weighted uniform norm the author studies the uniform convergence of extended lagrange interpolation processes based on the zeros of generalized laguerre polynomials

common fixed point results for noncommuting mappings without continuity in generalized metric spaces using the setting of a generalized metric space a fixed point theorem is proved for one map and several fixed point theorems are proved for two maps these results generalize several well known comparable results in the literature

interlacing properties of the zeros of the orthogonal polynomials and approximation of the hilbert transform abstract in this paper starting from interlacing properties of the zeros of the orthogonal polynomials the authors propose a new method to approximate the finite hilbert transform for this method they give error estimates in uniform norm

zeros of linear combinations of laguerre polynomials from different sequences we study interlacing properties of the zeros of two types of linear combinations of laguerre polynomials with different parameters namely r n l n a al n a and s n l n a bl n 1 a proofs and numerical counterexamples are given in situations where the zeros of r n and s n respectively interlace or do not in general with the zeros of l k a l k a k n or n 1 the results we prove hold for continuous as well as integral shifts of the parameter a

large parameter cases of the gauss hypergeometric function we consider the asymptotic behavior of the gauss hypergeometric function when several of the parameters a b c are large we indicate which cases are of interest for orthogonal polynomials jacobi but also meixner krawtchouk etc which results are already available and which cases need more attention we also consider a few examples of 3f2 functions of unit argument to explain which difficulties arise in these cases when standard integrals or differential equations are not available

common fixed points in best approximation for banach operator pairs with ciric type i contractions abstract the common fixed point theorems similar to those of ciric lj b ciric on a common fixed point theorem of a gregus type publ inst math beograd n s 49 1991 174 178 lj b ciric on diviccaro fisher and sessa open questions arch math brno 29 1993 145 152 lj b ciric on a generalization of gregus fixed point theorem czechoslovak math j 50 2000 449 458 fisher and sessa b fisher s sessa on a fixed point theorem of gregus internat j math math sci 9 1986 23 28 jungck g jungck on a fixed point theorem of fisher and sessa internat j math math sci 13 1990 497 500 and mukherjee and verma r n mukherjee v verma a note on fixed point theorem of gregus math japon 33 1988 745 749 are proved for a banach operator pair as applications common fixed point and approximation results for banach operator pair satisfying ciric type contractive conditions are obtained without the assumption of linearity or affinity of either t or i our results unify and generalize various known results to a more general class of noncommuting mappings

constant net time headway as a key mechanism behind pedestrian flow dynamics we show that keeping a constant lower limit on the net time headway is the key mechanism behind the dynamics of pedestrian streams there is a large variety in flow and speed as functions of density for empirical data of pedestrian streams obtained from studies in different countries the net time headway however stays approximately constant over all these different data sets by using this fact we demonstrate how the underlying dynamics of pedestrian crowds naturally follows from local interactions this means that there is no need to come up with an arbitrary fit function with arbitrary fit parameters as has traditionally been done further by using not only the average density values but the variance as well we show how the recently reported stop and go waves helbing et al phys rev e 75 046109 2007 emerge when local density variations take values exceeding a certain maximum global average density which makes pedestrians stop

pair of non self mappings and common fixed points we study quasi contraction type non self mappings on takahashi convex metric spaces and common fixed point theorems for a pair of maps results generalizing and unifying fixed point theorems of imdad and kumar das and naik jungck ciric ume khan and pathak and ciric are established

some results on extending and sharpening the weierstrass product inequalities abstract in this paper we establish two extensions of weierstrass s inequality involving symmetric functions by means of the theory of majorization and give an interesting sharpness of weierstrass s inequality by using the arithmetic geometric mean inequality furthermore we apply these results to improve a well known inequality and deduce some new inequalities

higher order hypergeometric lauricella function and zero asymptotics of orthogonal polynomials the asymptotic contracted measure of zeros of a large class of orthogonal polynomials is explicitly given in the form of a lauricella function the polynomials are defined by means of a three term recurrence relation whose coefficients may be unbounded but vary regularly and have a different behaviour for even and odd indices subclasses of systems of orthogonal polynomials having their contracted measure of zeros of regular uniform wigner weyl karamata and hypergeometric types are explicitly identified some illustrative examples are given

common fixed point theorems for families of weakly compatible maps in this paper the existence and approximation of a unique common fixed point of two families of weakly compatible self maps on a complete metric space are investigated an example is presented to show that our results for the mappings considered satisfying non linear contractive type conditions are genuine generalizations of the recent result for metric spaces b singh s jain a fixed point theorem in menger space through weak compatibility j math anal appl 301 2005 439 448 theorem 3 3 and many other known results

approximation of common fixed points of weakly compatible pairs using the jungck iteration abstract we show that the jungck iteration scheme can be used to approximate the common fixed points of some weakly compatible pairs of generalized quasicontractive operators defined on metric spaces the existence of coincidence points are also discussed for those pair of maps the results are generalizations of well known results of the convergence of picard iterations for single self maps of banach spaces in particular the results improve generalize and extend the recent results of berinde v berinde a common fixed point theorem for compatible quasi contractive self mappings in metric spaces applied mathematics and computation 213 2009 348 354 and answers the open question posed in the paper

best simultaneous approximations asymptotically nonexpansive mappings and variational inequalities in banach spaces abstract the existence of common fixed points is established for three mappings where t is either generalized f g nonexpansive or asymptotically f g nonexpansive on a nonempty subset of a banach space as applications the invariant best simultaneous approximation results are proved and the existence of solution of variational inequalities is obtained our results unify and substantially improve several recent results existing in the current literature

uniform convergence of derivatives of extended lagrange interpolation the authors construct some extended interpolation formulae to approximate the derivatives of a function in uniform norm they prove theorems on uniform convergence and give estimates of pointwise type and of simultaneous approximation

some common fixed point theorems for non self hybrid contractions abstract some results on the common fixed point for a pair of multivalued and single valued non self mappings in metrically convex metric spaces are obtained our work extends some of the known results due to assad and kirk hadzic and gajic itoh khan and many others

fixed point theorem for two non self mappings in cone metric spaces in this paper we extend a fixed point theorem of imdad and kumar for a pair of non self maps to non normal cone spaces

noncommuting selfmaps and invariant approximations abstract common fixed point results are established for a new class of noncommuting selfmaps we apply them to obtain several invariant approximation results which unify extend and complement well known results

common fixed point theorems for pd operator pairs under relaxed conditions with applications in this paper we define pd operator pair of single valued mappings and obtain some common fixed point theorems for this class of maps under relaxed conditions our theorem generalizes results of bhatt et al a bhatt h chandra d r sahu common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions nonlinear anal 73 2010 176 182 jungck and rhoades g jungck b e rhoades fixed point theorems for occasionally weakly compatible mappings fixed point theory 7 2 2006 287 296 and hussain et al n hussain m a khamsi a latif common fixed points for jh operators and occasionally weakly biased pairs under relaxed conditions nonlinear anal 74 2011 2133 2140 and others as applications we also study the solution of functional equations arising from dynamic programming and variational inequalities arises in two point obstacle problem we also discuss some illustrative examples to highlight the realized improvements

compatible maps and invariant approximations the existence of invariant best approximations for compatible maps is proved our results unify and generalize various known results to a more general class of noncommuting mappings

common fixed points for banach operator pairs with applications the existence of common fixed point results for a banach operator pair under certain generalized contractions is established the invariant best approximation results are proved as applications and the existence of solutions of variational inequalities is obtained we also study the solution of functional equations arising from dynamic programming 2007 elsevier ltd all rights reserved

zeros of ultraspherical polynomials and the hilbert klein formulas abstract the orthogonality of the ultraspherical polynomials cn z for 1 2 ensures that all of their zeros are in the interval 1 1 in a previous paper driver and duren indag math 11 2000 43 51 we have shown that when 1 2 to 1 n in particular the pattern of migration from the interval 1 1 to the imaginary axis serves to confirm and explain the classical formulas of hilbert and klein for the number of zeros of cn z lying in each of the real intervals 1 1 1 and 1

a coupled coincidence point result in partially ordered metric spaces for compatible mappings abstract in this paper we introduce the notion of compatibility of mappings in a partially ordered metric space and use this notion to establish a coupled coincidence point result our work extends the work of bhaskar and lakshmikantham t gnana bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal tma 65 2006 1379 1393 an example is also given

nonlinear coupled coincidence and coupled fixed point theorems for not necessary commutative contractive mappings in partially ordered probabilistic metric spaces in this paper we introduce the notion of compatibility of mappings in partially ordered probabilistic metric spaces and use this notion to establish a coupled coincidence point result very recently hu and ma xin qi hu xiao yan ma coupled coincidence point theorems under contractive conditions in partially ordered probabilistic metric spaces nonlinear anal 74 2011 6451 6458 proved coupled coincidence point theorems for commuting mappings in partially ordered probabilistic metric spaces in this paper we proved results of hu and ma under a different set of conditions precisely we establish our results by assuming that two mappings on a partially ordered probabilistic metric spaces are compatible not necessary commutative and satisfy a more general contractive condition than the contractive condition in the main theorem of hu and ma our results improve and extend a coupled coincidence point theorem due to hu and ma as well as a coupled fixed point theorem due to bhaskar and lakshmikantham t g bhaskar v lakshmikantham fixed point theorems in partially ordered metric spaces and applications nonlinear anal 65 2006 1379 1393 an example is given to support our result

common fixed points for jℋ operators and occasionally weakly biased pairs under relaxed conditions abstract some common fixed point theorems due to bhatt et al a bhatt et al common fixed point theorems for occasionally weakly compatible mappings under relaxed conditions nonlinear anal 73 2010 176 182 jungck and rhoades g jungck and b e rhoades fixed point theorems for occasionally weakly compatible mappings fixed point theory 7 2 2006 287 296 fixed point theory 9 2008 383 384 erratum and imdad and soliman m imdad a h soliman some common fixed point theorems for a pair of tangential mappings in symmetric spaces appl math lett 23 2010 351 355 are extended to two new classes of non commuting selfmaps which contain the occasionally weakly compatible and weakly biased selfmaps as proper subclasses some illustrative examples are also provided to highlight the realized improvements

on the random filling of rd by non overlapping d dimensional cubes abstract we compute the time dependent coverage in the random sequential adsorption of aligned d dimensional cubes in r d using time series expansions the seventh order series in 2 3 and 4 dimensions is resummed in order to predict the coverage at jamming the result is in agreement with monte carlo simulations a simple argument based on a property of the pertubative expansion valid at arbitrary orders allows us to analytically derive some generalizations of the palasti approximation

jamming coverage in competitive random sequential adsorption of a binary mixture we propose a generalized car parking problem where cars of two different sizes are sequentially parked on a line with a given probability q the free parameter q interpolates between the classical car parking problem of only one car size and the competitive random sequential adsorption crsa of a binary mixture we give an exact solution to the crsa rate equations and find that the final coverage the jamming limit of the line is always larger for a binary mixture than for the unisized case the analytical results are in good agreement with our direct numerical simulations of the problem

linear combinations of orthogonal polynomials generating positive quadrature formulas let pk x x k e n0 be the polynomials orthogonal on 1 1 with respect to the positive measure da we give sufficient conditions on the real numbers p j 0 m such that the linear combination of orthogonal polynomials yflo jpn j has n simple zeros in 1 1 1 and that the interpolatory quadrature formula whose nodes are the zeros of yfj osjpn j has positive weights

scaling behavior near jamming in random sequential adsorption for the random sequential adsorption model we introduce the availability as a new variable corresponding to the number of available locations in which an adsorbate can be accommodated we investigate the relation of the availability to the coverage of the adsorbent surface over time power law scaling between the two is obtained both through numerical simulations and analytical techniques for both one and two dimensional rsa as well as in the case of competitive random sequential adsorption in one dimension

interlacing of zeros of shifted sequences of one parameter orthogonal polynomials we study the interlacing property of zeros of laguerre polynomials of adjacent degree where the free parameters differ by an integer and of the same degree where the free parameter is shifted continuously similar interlacing results are proven for the positive zeros of gegenbauer polynomials

non self mappings satisfying non linear contractive condition with applications abstract the concept of non self mappings satisfying a new non linear contractive type condition is introduced and coincidence and common fixed point theorems in metric spaces of hyperbolic type are proved presented theorems generalize and improve recent theorems of imdad and kumar m imdad s kumar rhoades type fixed point theorems for a pair of nonself mappings comput math appl 46 2003 919 927 and several others theorems one example is constructed to show that our theorems are genuine generalizations of the above mentioned results of imdad and kumar and several others

common fixed points for p operator pair with applications the existence of common fixed point results for new classes of noncommuting selfmaps satisfying generalized i contraction or i nonexpansive type conditions is established as applications several invariant best approximation results are proved which unify extend and complement the well known results

inequalities for convex sequences and their applications using the theory of majorization new inequalities for convex sequences are proved a necessary and sufficient condition for a convex sequence is established this reveals an important relationship between the convex sequence and the majorized inequality finally some applications of our new inequalities and some improvements of certain known results are presented

modelling the gap size distribution of parked cars abstract we have measured the distribution of distances between parked cars in a number of roads in central london we compare the results with models of random sequential adsorption or random car parking models as they are often called our empirical results do not agree with these models and hence we introduce alternative models for the parking process the first model we propose is one where cars can only park if the space is greater than or equal to a chosen minimum size where the extra space can be used for manoeuvering the results of this model suggest that in addition to a deposition process a re positioning process is required to explain our empirical results hence we introduce a further model where at each time step with probability p a car is randomly placed on a line if the space is empty and with probabilty 1 p is placed in a space but then rolls to the nearest parked car so that it is y distance from the nearest car with probability f y we concentrate on two specific probabilities f y and find that for one case the gap size distribution agrees with the empirical results

a common fixed point theorem and its application to nonlinear integral equations in this paper we prove a common fixed point theorem for a pair of weakly compatible mappings the result is applied to prove the existence of solution of system of nonlinear integral equations our theorems extend and improve several known results

stability of perpetuities for a series of randomly discounted terms we give an integral criterion to distinguish between almost sure absolute convergence and divergence in probability to oo these being the only possible forms of asymptotic behavior this solves the existence problem for a one dimensional perpetuity that remains from a 1979 study by vervaat and yields a complete characterization of the existence of distributional fixed points of a random affine map in dimension one