[PDF] Top 20 A new explicit iterative algorithm for solving a class of variational inequalities over the common fixed points set of a finite family of nonexpansive mappings

... Lemma . ([]) Assume V is a contraction on a Hilbert space H with coefficient α > , and F : H → H is an L-Lipschitzian continuous and η-strongly monotone operator with L > , η > . Then, for  < γ < μη α ... See full document

... the mappings A, B : C → H be α-inverse-strongly monotone and β-inverse-strongly monotone, ...a nonexpansive mapping such that F(S) ∩ , where is the set of fixed points of the mapping G : C → C, ... See full document

... A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings is introduced and ...the new iterative ... See full document

... of common fixed points for a finite family of nonexpansive mappings has been considered by many authors see 17–20 and the references ...the fixed point sets of a ... See full document

... a new hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the ... See full document

... an iterative algorithm for finding a common element of the set of solutions of an infinite family of equilibrium problems and the set of fixed points of a ... See full document

... We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed[r] ... See full document

... a new iterative scheme of approximating a common element of the set of solutions to mixed equilibrium problem and set of common fixed points of finite ... See full document

... a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-φ-nonexpansive mappings, the ... See full document

... a new explicit iteration method based on the steepest descent method and Krasnoselskii-Mann type method for finding a solution of a variational inequality involving a Lipschitz continuous and strongly ... See full document

... a new iterative scheme ...to common element of the set of fixed points of continuous pseudo-contractive mappings which more general than nonexpansive ... See full document

... and explicit iterative schemes for computing a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational ... See full document

... general iterative method for the family of mappings and prove the strong convergence of the new iterative scheme in Banach ...The new iterative method includes the ... See full document

... Theorem 3.1 Let C be a closed convex subset of a real Hilbert space H, and let B : C ® H be a b-inverse strongly monotone mapping, also let A be a strongly positive linear bounded operator of H into itself with ... See full document

... of variational inequalities has been used as a tool to study the Nash equilibrium problem for a finite or infinite number of players; see, for ex- ample, [–] and the references ...using variational ... See full document

... general iterative scheme for find- ing a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of ... See full document

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

... a new hybrid iterative process for finding a common element of the set of common fixed points of a finite family of uniformly asymptotically ... See full document

... be nonexpansive mappings of C into itself such that F(S) ∩ F(T) = ∅ ...a fixed contractive ...a fixed point z of U as t → 0, where z t is the ... See full document

... every nonexpansive multivalued mapping satisfies the condition ...multivalued mappings has applications in control theory, convex optimiza- tion, differential equations and ...of nonexpansive ... See full document