[PDF] Top 20 A General Iterative Method for Variational Inequality Problems, Mixed Equilibrium Problems, and Fixed Point Problems of Strictly Pseudocontractive Mappings in Hilbert Spaces

... 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 ... See full document

... where C is a nonempty closed convex subset of a real Hilbert space H and ζ : C → R ∪ {+∞} is proper convex and lower semicontinuous. We denote by Argmin(ζ ) the set of solutions of problem (.). We define the ... See full document

... “A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly ... See full document

... generalized mixed equilibrium problems include fixed point problems, variational inequality problems, optimization problems, Nash equilibrium ... See full document

... projection method for finding a common element of the set of fixed points of strictly pseudocontractive mappings, the set of common solutions of generalized mixed ... See full document

... new general composite iterative scheme for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of fixed points of an infinite family of ... See full document

... pseudo-contractions strictly includes the class of nonex- pansive mappings, that is T is nonexpansive if and only if T is 0-strict ...real Hilbert space H ... See full document

... fixed point problem, many authors have introduced some iterative schemes for finding a common element of the set of solutions of the EP ...nonexpansive mappings or strictly ... See full document

... an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of generalized equilibrium problems, the set of common fixed points of ... See full document

... for mixed equilibrium problems, the set of solutions of the variational inclusions with set-valued maximal monotone mappings and inverse-strongly monotone mappings, and the set ... See full document

... new general composite iterative method for finding a fixed point of a strictly pseudocontractive mapping in Hilbert ...proposed iterative method to a fixed ... See full document

... inclusion problems, saddle point problems, variational inequality problems, minimization problems, the Nash equilibria in noncooperative games, vector equilibrium ... See full document

... point of the k-strictly pseudo-contraction, which solves some variational inequality. The following famous theorem is referred to as the Banach contraction principle. Theorem 1. (Banach [10]) ... See full document

... of fixed points of nonexpansive mapping S and the set of solutions of equilibrium problem ...the variational inequality γ f ( q ) − Aq , q − p ≤ 0, ∀ p ∈ F , where F = F ( S ) ∩ EP ( B ) and ... 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 ... See full document

... norm, are denoted by ,   and  , respectively. Let C be a nonempty closed convex subset of H, and let B: C  H be a nonlinear map. The classical variational inequality which is denoted by VI(C,B) is to ... See full document

... of general variational inequalities in Banach ...of variational inequalities and fixed point problems concerning the nonexpansive mapping is ...an iterative scheme for ... See full document

... an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of the EP and the set of fixed points of a nonexpansive mapping in a real Hilbert ... See full document

... Corollary 3.7. Let C be a nonempty closed convex subset of a real Hilbert space H and let ϕ : C → R be a lower semicontinuous and convex functional. Let Θ : C × C → R be an equilibrium bifunction satisfying ... See full document

... new iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, the set of common fixed points of a finite family of pseudo ... See full document