[PDF] Top 20 Strong convergence for solving a general system of variational inequalities and fixed point problems in Banach spaces

... A). Variational inequality theory has been studied quite extensively and has emerged as an important tool in the study of a wide class of obstacle, unilateral, free, moving, equilibrium ...the variational ... See full document

... new system of general variational inequalities in Banach ...this system of variational inequalities and fixed point problems concerning the ... See full document

... a general iterative approximation method for finding common elements of the set of solutions to a general system of variational inclusions ...common fixed points of a countable family ... See full document

... equilibrium problems and/or the set of fixed points of mappings and/or the set of solutions of variational inequalities) with their applications have been dis- ...some strong or weak ... See full document

... for solving variational ...for solving equilibrium ...for solving the equilibrium ...for solving equi- librium ...fixed point of nonexpansive and contraction ... See full document

... for solving a more general problem that consists of finding a common point that lies in the solution set of a variational inequality and the set of fixed points of a nonexpansive ... See full document

... that variational inequality, as a greatly important tool, has already been stud- ied for a wide class of unilateral, obstacle, and equilibrium problems arising in several branches of pure and applied ... See full document

... smooth Banach space X, and then another explicit iterative algorithm in a uniformly convex Banach space X with a uniformly Gâteaux dif- ferentiable ...for solving SVI (.) and the common fixed ... See full document

... for solving common solutions of variational inequality and fixed point ...problems. Strong convergence theorems are established in the framework of Hilbert ...discussed. ... See full document

... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document

... Recently, convergence theorems for common fixed points of a strongly continuous semi- group of nonexpansive mappings and their generalizations have been studied by numerous authors (see, ...mization ... See full document

... some strong convergence ...to solving fixed point problems of strict pseudocontractive mappings, variational inequality problems in Banach spaces and ... See full document

... The purpose of this paper is to investigate viscosity approximation methods for finding a common element in the set of fixed points of a strict pseudocontraction and in the set of solutions of a generalized ... See full document

... the system of bivariate variational inequality problems in q-uniformly smooth Banach spaces, but also to suggest and analyze a new explicit iterative method, which in- cludes the ... See full document

... a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-point set of a strictly pseudocontractive mapping in a ... See full document

... the strong conver- gence approximation scheme for finding a com- mon element of the set of solutions of a system of an equilibrium problem and the set of common fixed points of a sequence of ... See full document

... The variational inequality problem was initially introduced and studied by Stampacchia [] in ...years, variational inequality problems have been extended to study a large variety of problems ... See full document

... It is well known that the iterative methods for finding hierarchical fixed points of non- expansive mappings can also be used to solve a convex minimization problem; see, for example, [, ] and the references therein. ... See full document

... very general in the sense that it includes, as special case, some optimization, variational inequalities, minimax problems, the Nash equilibrium problem in noncooperative games, economics, and ... See full document

... a system of variational inequalities problems in a uniformly convex and 2-uniformly smooth Banach ...a strong convergence theorem involving two sets of solutions of ... See full document