[PDF] Top 20 An Iterative Scheme with a Countable Family of Nonexpansive Mappings for Variational Inequality Problems in Hilbert Spaces

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and Optimization and Their ... See full document

... an iterative method of finding the best approximation to the initial data when EPΘ is nonempty and proved a strong convergence ...an iterative scheme by the viscosity approximation method for finding ... See full document

... general iterative scheme for finding a common element of the set of equilibrium problems and fixed point problems of a countable family of nonexpansive mappings in ... See full document

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. Let A : C → H be a nonlinear mapping, and let F : C × C → R be a bifunction. A mapping T of H into itself is called ... See full document

... an iterative scheme for finding a common element of the set of solutions of the variational inclusion problem ...monotone mappings, the set of solutions of an equilibrium problem and the set ... See full document

... hybrid iterative scheme and prove that our proposed iterative scheme converges strongly to a common element of the set of solutions of MEP(f , ϕ, C) and the set of common fixed points of a ... See full document

... The iterative methods for nonexpansive mappings have recently been applied to solve convex minimization problems; see, for example, 12–14 and the references ...real Hilbert space, whose ... See full document

... quasi-nonexpansive mappings to have strong convergence theorems for approximating the common element of the set of common fixed points of two finite families of such mappings and the set of solutions ... See full document

... classical variational inequality ...of nonexpansive mappings have received rapid development, see, for example, [1-17] and the references ...for variational inequality ... See full document

... a nonexpansive mapping of K into itself and f is a contraction on ...Mann’s iterative process ...Hilbert spaces. Qin et al. [] intro- duced the following iterative algorithm ... See full document

... In , Browder and Petryshyn [] introduced a concept of strict pseudo-contractive in a real Hilbert space. Let C be a nonempty subset of a real Hilbert space H, and let T : C → C be a single-valued ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... new iterative methods for a countable family of nonexpansive mappings in Hilbert ...a countable family of nonexpansive mappings which solves the ... See full document

... the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithm for Feasibility and Optimization and Their ... See full document

... a Hilbert space, the problem ...Similar problems have been studied extensively ...optimization problems, variational inequalities, minimax problems, the Nash equilibrium problem in ... See full document

... point problems and variational inequality problems,” Journal of Inequalities and Applications, ...a countable family of nonexpansive mappings in a Hilbert ... See full document

... new iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of closed relatively quasi- nonexpansive ... See full document

... of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and ...proposed iterative scheme to a ... See full document

... to variational inclusion, equilibrium and fixed point problems have been recently extensively investigated based on iterative methods; see [–] and the ref- erences ...complex problems, which ... See full document

... for nonexpansive mappings have recently been applied to solve con- vex minimization problems (see, ...a nonexpansive mapping on a real Hilbert space H ... See full document