Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings

Convergence of Iterative Sequences for Generalized Equilibrium Problems Involving Inverse-Strongly Monotone Mappings

Convergence Theorems for Nonexpansive Mappings and Inverse-strongly Monotone Mappings

In this paper, we introduce a general iterative scheme for finding a common element of the set of common fixed points of an infinite family of nonexpansive mappings and the set of solutions of variational inequalities for an inverse-strongly monotone mapping.

On the Convergence of Iterative Sequences for a Family of Nonexpansive Mappings and Inverse-strongly Monotone Mappings

The purpose of this paper is to introduce a general iterative process for the problem of finding a common element in the set of common fixed points of an infinite family of nonexpansive mappings and in the set of solutions of variational inequalities for inverse-strongly monotone mappings.

Viscosity Approximation Methods for Equilibrium Problems and Fixed Point Problems of Nonexpansive Mappings and Inverse-strongly Monotone Mappings∗

In this paper, we introduce an iterative scheme by viscosity approximation method for obtaining a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly monotone mapping in a Hilbert space. We obtain a strong convergence which improves and extends S. Tak...

Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...