on generalized variational inequalities involving relaxed lipschitz and relaxed monotone operators abstract we consider the solvability based on iterative algorithms of the generalized variational inequality gvi problems involving the relaxed lipschitz and relaxed monotone operators

convergence and stability of iterative algorithms of generalized set valued variational like inclusions in banach spaces abstract in this paper we give the notion of p proximal mapping an extension of p proximal mapping given by ding and xia j comput appl math 147 2002 369 for a nonconvex lower semicontinuous subdifferentiable proper functional on banach space and prove its existence and lipschitz continuity further we consider a class of generalized set valued variational like inclusions in banach space and show its equivalence with a class of implicit wiener hopf equations using the concept of p proximal mapping using this equivalence we propose a new class of iterative algorithms for the class of generalized set valued variational like inclusions furthermore we prove the existence of solution of generalized set valued variational like inclusions and discuss the convergence criteria and the stability of the iterative algorithm

proximal point algorithm for generalized multivalued nonlinear quasi variational like inclusions in banach spaces in this paper we define a new notion of j h proximal mapping for a nonconvex lower semicontinuous h subdifferentiable proper functional in banach spaces the existence and lipschitz continuity of j h proximal mapping of a lower semicontinuous h subdifferentiable proper functional are proved by applying this notion we introduce and study generalized multivalued nonlinear quasi variational like inclusions in reflexive banach spaces and propose a proximal point algorithm for finding the approximate solutions of this class of variational inclusions the convergence criteria of the iterative sequences generated by our algorithm is discussed several special cases are also given

a new completely general class of variational inclusions with noncompact valued mappings abstract in this paper we introduce and study a new completely general class of variational inclusions with noncompact valued mappings and construct some new iterative algorithms we prove the existence of solutions for the completely general class of variational inclusions and the convergence of iterative sequences generated by the algorithms

generalized strongly nonlinear quasivariational inequalities abstract in this paper we prove an existence theorem of solutions and develop the algorithms of approximating solutions for a generalized strongly nonlinear variational inequality and a generalized strongly nonlinear complementarity problem an algorithm for finding the approximate solution of generalized strongly nonlinear quasivariational inequalities and generalized strongly nonlinear quasicomplementarity problems is also given as special cases these results include the corresponding results of fang and peterson noor siddiqi and ansari and ding

perturbed proximal point algorithms for general quasi variational like inclusions in this paper we introduce two new concepts of subdifferential and proximal mappings of proper functionals on hilbert spaces the existence and lipschitz continuity of proximal mapping of a proper functional are proved by applying these concepts we introduce and study a class of general quasi variational like inclusions and develop some new perturbed proximal point algorithms of mann and ishikawa type for finding the approximate solutions of the general quasi variational like inclusions the convergence criteria of the sequences of approximate solutions generated by these new algorithms are also discussed our algorithms and results improve and generalize many known results in the literature

a new system of generalized nonlinear quasi variational like inclusions with a monotone operators in banach spaces in this paper we study some properties of a monotone operator in banach space give the notion of proximal mapping associated with the a monotone operator and show its lipschitz continuity we also consider a new system of generalized nonlinear quasi variational like inclusions with a monotone operators in banach spaces and constructed a new iterative algorithm for solving the system of generalized nonlinear quasi variational like inclusions in banach spaces under suitable assumptions we prove the convergence of the iterative sequences generated by the algorithm

variational inclusions with a general h monotone operator in banach spaces in this paper we introduce a new class of operator general h monotone operators in banach space we define a proximal mapping associated with the general h monotone operator and show its lipschitz continuity we also consider a new class of variational inclusions involving these general h monotone operators and constructed a new iterative algorithm for solving the variational inclusion in banach spaces under some suitable conditions we prove the convergence of the iterative sequence generated by the algorithm

perturbed proximal point algorithms for generalized quasivariational inclusions abstract in this paper we study a class of generalized quasivariational inclusions by using the properties of the resolvent operator associated with a maximal monotone mapping in hilbert space we have established an existence theorem of solutions for generalized quasivariational inclusions suggesting a new iterative algorithm and a perturbed proximal point algorithm for finding approximate solutions which strongly converge to the exact solution of the generalized quasivariational inclusions as special cases some known results in this field are also discussed

algorithm for solving a new class of generalized nonlinear implicit quasi variational inclusions in banach spaces abstract in this paper we introduce and study a new class of generalized nonlinear implicit quasi variational inclusions with general h monotone operator in banach spaces by using the proximal mapping and nadler s theorem we suggest and analyze a class of iterative algorithm for solving the generalized nonlinear implicit quasi variational inclusion first an existence theorem of solutions for the generalized nonlinear implicit quasi variational inclusion is proved under suitable assumptions then the convergence of the iterative sequences generated by the new algorithm is proved

sensitivity analysis for a system of parametric general quasi variational like inequality problems in uniformly smooth banach spaces in this paper using the concept of p h proximal point mapping introduced by kazmi and bhat 11 we study the existence and sensitivity analysis of the solution set of a system of parametric general quasi variational like inequality problems in uniformly smooth banach spaces further under suitable conditions we discuss the lipschitz continuity of the solution set with respect to the parameters the approach used in this paper may be treated as an extension and unification of approaches for studying sensitivity analysis for various important classes of variational inequalities given in 1 2 4 12 14 16 21 24

algorithm of solutions for mixed implicit quasi variational inequalities with fuzzy mappings abstract in this paper by applying the auxiliary variational principle technique some existence theorems of solutions for a class of mixed implicit quasi variational inequalities with fuzzy mappings are proved in hilbert spaces a novel and innovative iterative algorithm to compute approximate solutions is suggested and analyzed the convergence criteria is also given as special cases of these results the open problem put forward by noor is answered positively our results are new and generalize a number of known results to mixed implicity quasi variational inequalities with fuzzy mappings

a new class of completely generalized quasi variational inclusions in banach spaces in this paper a new notion of j proximal mapping for a nonconvex lower semicontinuous subdifferentiable proper functional on banach space is introduced the existence and lipschitz continuity of j proximal mapping of a lower semicontinuous subdifferentiable proper functional are proved by applying the concept we introduce and study a new class of completely generalized quasi variational inclusions in reflexive banach spaces a novel and innovative iterative algorithm for finding the approximate solutions is suggested and analyzed the convergence criteria of the iterative sequences generated by the new iterative algorithm is also given these algorithm and existence result generalize many known results under hilbert space setting in recent literature to reflexive banach spaces

the hajek renyi chow maximal inequality and a strong law of large numbers in riesz spaces abstract in this paper we generalize the hajek renyi chow maximal inequality for submartingales to l p type riesz spaces with conditional expectation operators as applications we obtain a submartingale convergence theorem and a strong law of large numbers in riesz spaces along the way we develop a riesz space variant of the clarkson s inequality for 1 p 2

conditional expectations on riesz spaces abstract conditional expectations operators acting on riesz spaces are shown to commute with a class of principal band projections using the above commutation property conditional expectation operators on riesz spaces are shown to be averaging operators here the theory of f algebras is used when defining multiplication on the riesz spaces this leads to the extension of these conditional expectation operators to their so called natural domains i e maximal domains for which the operators are both averaging operators and conditional expectations the natural domain is in many aspects analogous to l 1

near epoch dependence in riesz spaces abstract the abstraction of the study of stochastic processes to banach lattices and vector lattices has received much attention by grobler kuo labuschagne stoica troitsky and watson over the past fifteen years by contrast mixing processes have received very little attention in particular mixingales were generalized to the riesz space setting in kuo et al 2013 12 the concepts of strong and uniform mixing as well as related mixing inequalities were extended to this setting in kuo et al 2017 11 in the present work we formulate the concept of near epoch dependence for riesz space processes and show that if a process is near epoch dependent and either strong or uniform mixing then the process is a mixingale giving access to a law of large numbers the above is applied to autoregressive processes of order 1 in riesz spaces

convergence and stability of an iterative algorithm for a system of generalized implicit variational like inclusions in banach spaces abstract in this paper we give the notion of m proximal mapping for a nonconvex proper lower semicontinuous and subdifferentiable functional on banach space which is an extension of proximal mappings studied in x p ding f q xia a new class of completely generalized quasi variational inclusions in banach spaces j comput appl math 147 2002 369 383 k r kazmi m i bhat convergence and stability of iterative algorithms of generalized set valued variational like inclusions in banach spaces appl math comput 113 2005 153 165 k r kazmi m i bhat n ahmad an iterative algorithm based on m proximal mappings for a system of generalized implicit variational inclusions in banach spaces j comput appl math 233 2009 361 371 we prove its existence and lipschitz continuity in reflexive banach space further we consider a system of generalized implicit variational like inclusions in banach spaces and show its equivalence with a system of implicit equations using the concept of m proximal mappings using this equivalence we propose a new iterative algorithm for the system of generalized implicit variational like inclusions furthermore we prove the existence of solution of the system of generalized implicit variational like inclusions and discuss the convergence and stability analysis of the iterative algorithm in the setting of uniformly smooth banach spaces

regression equations to predict segmental moments of inertia from anthropometric measurements an extension of the data of chandler et al 1975 a set of regression equations was developed to fully utilize the data of chandler et al amrl technical report 74 137 wright patterson air force base 1975 to estimate segmental moments of inertia in living subjects using anthropometric measurements as predictors moments of inertia can be computed about both transverse and longitudinal axes passing through each segment s center of mass symmetry about segment long axes is assumed because of the small sample size upon which these equations are based it is suggested that they be used cautiously especially to avoid extrapolation to subjects having anthropometric measurements outside the range of sample values

auxiliary principle for generalized mixed variational like inequalities abstract in this paper we use the auxiliary principle technique to prove the existence of a solution of some new classes of variational inequalities which are called the generalized mixed variational like inequalities this technique is used to analyze an iterative algorithm several special cases which can be obtained from our main result are also discussed

strongly nonlinear quasivariational inequalities abstract in this paper we develop the algorithms for finding the approximate solution of a strongly nonlinear quasivariational inequality and a strongly nonlinear quasicomplementarity problem and we include as special cases known results in this area we also observe that these two problems are equivalent if the convex set involved in the formulation of these problem is a convex cone

a perturbed algorithm for variational inclusions a perturbed method for solving a new class of variational inclusions is presented and a convergence result which includes as a special case some known results in this field is given

lp spaces with respect to conditional expectation on riesz spaces recently labuschagne and watson introduced the space l2 t for a conditional expectation t with natural domain a riesz space l1 t the main purpose of this paper is to carry on with this process by introducing and investigate the spaces lp t with p 1

complete convergence theorems for lp mixingales abstract sufficient conditions for the complete convergence for the partial sums and the random selected partial sums of l p mixingales are given necessary conditions are also discussed

a system of generalized variational inclusions involving generalized h accretive mapping in real q uniformly smooth banach spaces abstract in this paper we consider a class of accretive mappings called generalized h accretive mappings in banach spaces we prove that the proximal point mapping of the generalized h accretive mapping is single valued and lipschitz continuous further we consider a system of generalized variational inclusions involving generalized h accretive mappings in real q uniformly smooth banach spaces using proximal point mapping method we prove the existence and uniqueness of solution and suggest an iterative algorithm for the system of generalized variational inclusions furthermore we discuss the convergence criteria of the iterative algorithm under some suitable conditions our results can be viewed as a refinement and improvement of some known results in the literature

limit laws for martingales in vector lattices abstract we prove limit laws for martingales in vector lattices under suitable technical hypotheses involving the increments of the sequences therein

generalized set valued variational inclusions in banach spaces in this paper a generalization and improvement of noor s theorem for generalized set valued variational inclusion in real banach spaces is studied the results presented in this paper generalize improve and unify a number of recent results

set valued resolvent equations and mixed variational inequalities in this paper we introduce and study a new class of variational inequalities which is called the generalized set valued mixed variational inequality the resolvent operator technique is used to establish the equivalence among generalized set valued variational inequalities fixed point problems and the generalized set valued resolvent equations this equivalence is used to study the existence of a solution of set valued variational inequalities and to suggest a number of iterative algorithms for solving variational inequalities and related optimization problems the results proved in this paper represent a significant refinement and improvement of the previously known results in this area

an iterative algorithm based on m proximal mappings for a system of generalized implicit variational inclusions in banach spaces in this paper we give the notion of m proximal mapping an extension of p proximal mapping given in x p ding f q xia a new class of completely generalized quasi variational inclusions in banach spaces j comput appl math 147 2002 369 383 for a nonconvex proper lower semicontinuous and subdifferentiable functional on banach space and prove its existence and lipschitz continuity further we consider a system of generalized implicit variational inclusions in banach spaces and show its equivalence with a system of implicit wiener hopf equations using the concept of m proximal mappings using this equivalence we propose a new iterative algorithm for the system of generalized implicit variational inclusions furthermore we prove the existence of solution of the system of generalized implicit variational inclusions and discuss the convergence and stability analysis of the iterative algorithm

comparison of male and female lower limb segment inertial properties many studies have examined human segmental inertial parameters but these studies have focused more on male rather than female data the purpose of this study was to determine the lower limb segmental inertial parameters for a large sample n 1500 of both males and females the participants in this study were those measured as part of a survey of the anthropometry of us army personnel the sample comprised 1774 males mean height 1 756 0 079 m mean mass of 78 49 0 11 kg and mean age of 27 21 6 81 years and 2208 females mean height 1 629 0 072 m mean mass of 62 01 0 08 kg and mean age of 26 18 5 70 years anthropometric measurements were used to determine the inertial properties of the lower limb segments by modeling them as series of geometric solids an analysis of variance revealed that the normalized inertial parameters for each of the segments were statistically significantly different p 0 001 between the two groups the time for each segment to swing through the range of motion of the swing phase of gait produced shorter swing times for the male segments the differences between the segmental inertial properties for the sexes have implications for how these parameters are customized to experimental subjects

the appropriate use of regression equations for the estimation of segmental inertia parameters linear regression equations are commonly used in conjunction with experimental data to provide linear relationships between quantities which are dimensionally distinct in many cases theoretical relationships between such quantities are known and can be used as a basis for non linear regression equations this study compares linear and non linear approaches for estimating the segmental moments of inertia from anthropometric measurements using the data of chandler et al chandler et al 1975 investigation of inertial properties of the human body amrl technical report 74 137 wright patterson air force base oh right limb data were used to derive the equations while left limb data were used as a cross validation sample to evaluate the inertia estimates calculated from the equations for the limb segments the standard error estimates had average values of 21 for the linear equations and 13 for the non linear equations data on a 10 yr old boy was used to compare the two approaches outside the sample range the mean percentage residuals were 286 for the linear equations and 20 for the non linear equations a set of non linear equations is provided

completely generalized multivalued nonlinear co quasi variational like inclusions in this paper we introduce and study completely generalized multivalued nonlinear co quasi variational like inclusions by using j h proximal mapping 1 we propose an iterative algorithm for computing the approximate solutions of completely generalized multivalued nonlinear co quasi variational like inclusions problem we prove that approximate solutions obtained by the proposed algorithm converge to the exact solutions of completely generalized multivalued nonlinear co quasi variational like inclusions problem some special cases are also discussed

perturbed ishikawa type iterative algorithm for generalized quasivariational inclusions in this paper a perturbed ishikawa type iterative algorithm of solving a new class of generalized nonlinear implicit quasivariational inclusions are suggested and analysed first an existence theorem of solutions for generalized nonlinear implicit quasivariational inclusion is proved under suitable assumptions then the convergence of the perturbed ishikawa type iterative sequences generated by the new algorithm is proved as special cases some known results are also discussed

existence and algorithm for solving some generalized mixed variational inequalities abstract in this paper by applying the auxiliary variational principle technique an existence theorem of solutions for a new class of generalized mixed variational inequalities is proved in hilbert spaces a novel and innovative iterative algorithm to compute approximate solutions is suggested and analyzed the convergence criteria and error estimates are also given these results of existence algorithm and convergence are new and generalize some corresponding results involving single valued mappings in recent literatures

set valued variational inclusions in banach spaces the purpose of this paper is to introduce and study a class of set valued variational inclusions without compactness condition in banach spaces by using michael s selection theorem and nadler s theorem an existence theorem and an iterative algorithm for solving this kind of set valued variational inclusions in banach spaces are established and suggested

generalized implicit quasivariational inclusions with fuzzy set valued mappings abstract in this paper we introduce and study a new class of generalized implicit quasivariational inclusions with fuzzy set valued mappings a existence theorem of solutions is proved without compactness assumptions a new iterative algorithm is suggested and analyzed the convergence of iterative sequence generated by the new algorithm is also given as special cases some known results are also discussed

mixing inequalities in riesz spaces abstract various topics in stochastic processes have been considered in the abstract setting of riesz spaces for example martingales martingale convergence ergodic theory amarts markov processes and mixingales here we continue the relaxation of conditional independence begun in the study of mixingales and study mixing processes the two mixing coefficients which will be considered are the strong and uniform mixing coefficients we conclude with mixing inequalities for these types of processes in order to facilitate this development the study of generalized l 1 and l spaces begun by kuo labuschagne and watson will be extended

generalized mixed equilibrium problems with generalized α η monotone bifunction in topological vector spaces the purpose of this paper is to introduce a new class of the generalized mixed equilibrium problems with a new definition of the relaxed monotonicity for bi functions in topological vector spaces by employing the kkm technique and under some appropriate assumptions on the considering nonlinear mappings we obtain the existence of a solution for the generalized mixed equilibrium problems with the new concept of the relaxed monotonicity and coercivity condition in order to relax the compactness of the domains of the nonlinear mappings in the setting of topological vector spaces moreover the compactness and convexness of the solution set are investigated the results in the paper extend and generalize the corresponding results especially sintunavarat 2013 20 in this area by providing mild assumptions in order to guarantee the existence of a solution for the generalized mixed equilibrium problem

influence of body segment parameter estimation on calculated ground reaction forces in highly dynamic movements the effect of body segment parameter estimation bsp on the inverse dynamics modelling results has not yet been demonstrated in specific groups during athletic movements with high segment accelerations therefore the purpose of this study was to analyse this effect in ski jumpers as representatives of a specific group i e low body mass index by comparing calculated and measured ground reaction forces during ski jumping imitation jumps full body kinematics and vertical ground reaction forces were recorded of 9 ski jumpers performing three imitation jumps each bsp were estimated using three previously published one individually optimized and one ski jumper group specific model vertical ground reaction forces were calculated using the vertical acceleration of the segments as well as the bsp of the single models in a top down approach statistical analysis revealed a main model effect concerning the root mean square error between the calculated and the measured ground reaction force with deviations between the models of 53 individual optimization and the application of the ski jumper group specific model increased the accuracy of the calculated ground reaction forces by 11 and 7 respectively compared to the best performing published model the results of inverse dynamics modelling are very sensitive to the bsp estimation for specific groups like ski jumpers during movements incorporating high segment accelerations this emphasizes the importance of selecting adequate bsp estimation models or methods when analysing specific groups in highly dynamic movements in order to increase the accuracy of the inverse dynamics analyses results

variational formulations of nonlinear constrained boundary value problems variational formulations of nonlinear constrained boundary value problems in reflexive banach spaces are discussed from a compositional duality approach the mixed variational compatibility conditions of the theory correspond to the surjectivity of the primal coupling boundary and interior operators

existence and algorithm of solutions for nonlinear mixed variational like inequalities in banach spaces in this paper we study a new class of nonlinear mixed variational like inequalities in reflexive banach spaces by applying a minimax inequality due to author we first prove an existence uniqueness theorem of solutions for the nonlinear mixed variational like inequalities next we extend the auxiliary problem technique under reflexive banach space setting to suggest and analyze an innovative iterative algorithm to compute the approximate solutions of the nonlinear mixed variational like inequalities the convergence criteria of the iterative algorithm is also given these results improve and generalize many known results in recent literature

biomechanical modeling and optimal control of human posture the present work describes the biomechanical modeling of human postural mechanics in the saggital plane and the use of optimal control to generate open loop raising up movements from a squatting position the biomechanical model comprises 10 equivalent musculotendon actuators based on a 40 muscles model and three links shank thigh and hat head arms and trunk optimal control solutions are achieved through algorithms based on the consistent approximations theory schwartz and polak 1996 where the continuous non linear dynamics is represented in a discrete space by means of a runge kutta integration and the control signals in a spline coefficient functional space this leads to non linear programming problems solved by a sequential quadratic programming sqp method due to the highly non linear and unstable nature of the posture dynamics numerical convergence is difficult and specific strategies must be implemented in order to allow convergence results for control muscular excitations and angular trajectories are shown using two final simulation times as well as specific control strategies are discussed

parametric completely generalized mixed implicit quasi variational inclusions involving h maximal monotone mappings a new class of parametric completely generalized mixed implicit quasi variational inclusions involving h maximal monotone mappings is introduced by applying resolvent operator technique of h maximal monotone mapping and the property of fixed point set of set valued contractive mappings the behavior and sensitivity analysis of the solution set of the parametric completely generalized mixed implicit quasi variational inclusions involving h maximal monotone mappings are studied the continuity and lipschitz continuity of the solution set with respect to the parameter are proved under suitable assumptions our approach and results are new and improve unify and extend previous many known results in this field

mixingales on riesz spaces abstract a mixingale is a stochastic process which combines properties of martingales and mixing sequences mcleish introduced the term mixingale at the 4th conference on stochastic processes and application at york university toronto 1974 in the context of l 2 in this paper we generalize the concept of a mixingale to the measure free riesz space setting this generalizes all of the l p 1 p variants and prove that a weak law of large numbers holds for riesz space mixingales in the process we also generalize the concept of uniform integrability to the riesz space setting

a new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings in this paper we introduce and study a new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings an existence theorem of solutions is proved without compactness assumptions a new iterative algorithm is suggested and analysed the convergence of iterative sequences generated by the new algorithm are also given as special cases some known results are also discussed

iterative algorithms for a new system of nonlinear variational inclusions with a η accretive mappings in banach spaces in this paper we introduce and study a new system of nonlinear variational inclusions with a h accretive mappings in banach spaces by using the resolvent operator associated with a h accretive mappings we construct some new iterative algorithms for approximating the solution of this system of variational inclusions we also prove the existence of solutions and the convergence of the sequences generated by the algorithm in banach spaces the results presented in this paper extend and improve some known results in the literature

body segment mass radius and radius of gyration proportions of children abstract the segment inertial parameters of children are fundamental to the analysis and simulation of their movements generally it has been recognized that adult parameters cannot be extrapolated and most of the anthropometric data on children are of little or no use for determining inertias consequently there have been few studies of children s kinetics in response to this problem a longitudinal investigation the laurentian study of biomechanical development was launched and in this paper the effects of growth on selected segmental size and inertial parameters are reported for boys between the ages of 4 and 15 yr the twelve subjects representing heterogeneous body types were followed over 3 yr for a total of 36 observations elliptical zones 2 cm wide were used to model the body and segment inertias calculated using segment densities from the literature these inertias were the mass moment of inertia and mass centroid location for a fourteen segment planar representation of the body the general accuracy mean error based on body mass was 0 203 which is consistent with reports from similar studies and techniques plots of segment mass proportions with respect to age showed a decrease in the head proportion balanced by increases in the thigh shank foot and upper arm proportions in particular the trends for each segment were consistent with the trends for linear measures reported in the anthropometry literature radius proportions to the mass centroid and radius of gyration proportions were also plotted and showed smaller but consistent changes with respect to age linear regressions were then fitted to the distributions and standard errors calculated the magnitude and slope of the regressions were for the most part consistent with a reported cross sectional study of japanese children where data were available predicted parameters were compared with the reported parameters for a 12 yr old analyzed using a different mathematical model comparisons were also made between the predicted parameters at 15 yr and the reported parameters for healthy young adults who had been scanned using a gamma radiation technique for most parameters there was either good agreement or differences could be explained logically the traditionally used parameters from older cadavers were quite inconsistent with the above the variances of the 36 observations about the regression lines as indicated by the standard errors were small as an illustration of the effect of these variances the trunk parameters for a 10 yr old performing a standing jump for distance were decreased by 1 s e and this matched by increases for the thigh shank and head the changes for ankle torques and horizontal and vertical reaction force components were minimal and less than the changes produced by a 1 hz increase in cut off frequency for the digital filter on the basis of these comparisons it is suggested that where direct determination of body segment parameters for children is not possible the regression equations be used to obtain the segment inertias

some aspects of variational inequalities abstract in this paper we provide an account of some of the fundamental aspects of variational inequalities with major emphasis on the theory of existence uniqueness computational properties various generalizations sensitivity analysis and their applications we also propose some open problems with sufficient information and references so that someone may attempt solution s in his her area of special interest we also include some new results which we have recently obtained

perturbed algorithms and sensitivity analysis for a general class of variational inclusions in the present paper we study a perturbed iterative method for solving a general class of variational inclusions an existence result which generalizes some known results in this field a convergence result and a new iterative method are given we also prove the continuity of the perturbed solution to a parametric variational inclusion problem several special cases are discussed

mass center of mass and moment of inertia estimates for infant limb segments to quantify limb dynamics accurate estimates are needed of anthropometric inertia parameters mass center of mass location and moments of inertia these estimates however are not available for human infants therefore the movement dynamics of infants have not been studied extensively here regression equations for the masses center of mass locations and transverse moments of inertia of upper and lower limb segments upper arm forearm and hand thigh leg and foot of 0 04 to 1 50 yr old infants are provided a mathematical model of the human body was used to determine the anthropometric inertia parameters for upper limbs in 44 infants and for lower limbs in 70 infants stepwise linear regressions were used to fit the distributions of the anthropometric inertia parameters the regression equations accounted for significant amounts of the variance 64 98 and the r2 values compared favorably when our equations were cross validated consequently these regression equations can provide for infants of similar ages reasonable estimates of upper and lower limb anthropometric inertia parameters suitable for equations of motion in the analysis of limb dynamics in human infants

general algorithm of solutions for nonlinear variational inequalities in banach space abstract in this paper we shall study a class of general nonlinear variational inequalities in reflexive banach spaces by applying a minimax inequality obtained by the author some existence uniqueness theorems of solutions for the general nonlinear variational inequalities are proved next by applying the auxiliary problem technique we suggest an innovative iterative algorithm to compute the approximate solutions of the general nonlinear variational inequality finally the convergence criteria is also discussed

the solution existence of general variational inclusion problems we propose general variational inclusion problems which are slightly different from corresponding problems considered in several recent papers in the literature and show that they are advantageous sufficient conditions for the solution existence are established as applications we derive consequences for several special cases of variational inclusion problems quasioptimization problems equilibrium problems and implicit variational inequalities and show that they improve the results of some recent existing papers

adjustments to mcconville et al and young et al body segment inertial parameters body segment inertial parameters bsips are important data in biomechanics they are usually estimated from predictive equations reported in the literature however most of the predictive equations are ambiguously applicable in the conventional 3d segment coordinate systems scss also the predictive equations reported in the literature all include two assumptions the centre of mass and the proximal and distal endpoints are assumed to be aligned and the inertia tensor is assumed to be principal in the segment axes these predictive equations restraining both position of the centre of mass and orientation of the principal axes of inertia become restrictive when computing 3d inverse dynamics when analyzing the influence of bsip estimations on joint forces and moments and when evaluating personalized 3d bsips obtained from medical imaging in the current study the extensive data from mcconville et al 1980 anthropometric relationships of body and body segment moments of inertia afamrl tr 80 119 aerospace medical research laboratory wright patterson air force base dayton ohio and from young et al 1983 anthropometric and mass distribution characteristics of the adults female technical report afamrl tr 80 119 faa civil aeromedical institute oklaoma city oklaoma are adjusted in order to correspond to joint centres and to conventional segment axes in this way scaling equations are obtained for both males and females that provide bsips which are directly applicable in the conventional scss and do not restrain the position of the centre of mass and the orientation of the principal axes these adjusted scaling equations may be useful for researchers who wish to use appropriate 3d bsips for posture and movement analysis

the simulation of aerial movement ii a mathematical inertia model of the human body a mathematical inertia model which permits the determination of personalized segmental inertia parameter values from anthropometric measurements is described the human body is modelled using 40 geometric solids which are specified by 95 anthropometric measurements a stadium solid is introduced for modelling the torso segments using perimeter and width measurements this procedure is more accurate than the use of elliptical discs of given width and depth and permits a smaller number of such solids to be used inertia parameter values may be obtained for body models of up to 20 segments errors in total body mass estimates from this and other models are discussed with reference to the unknown lung volumes

existence and algorithm of solutions for generalized mixed implicit quasi variational inequalities1this project was supported by the national science foundation of people s republic china 1 in this paper by applying the auxiliary variational principle technique some existence theorems of solutions for a class of generalized mixed implicit quasi variational inequalities are proved in hilbert spaces a novel and innovative iterative algorithm to compute approximate solutions is suggested and analyzed the convergence criteria are also given as special cases of these results the open problem put forward by noor is answered positively and some results of existence and algorithm of solutions for generalized implicit quasi complementarity problems are also obtained our results are new and generalize a number of known results of mixed variational inequalities mixed quasi variational inequalities and quasi complementary problems involving single valued and set valued mappings in recent literatures