A General Iterative Method of Fixed Points for Mixed Equilibrium Problems and Variational Inclusion Problems

A General Iterative Method of Fixed Points for Mixed Equilibrium Problems and Variational Inclusion Problems

The purpose of this paper is to investigate the problem of finding a common element of the set of solutions 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 of fixed points of a family of finitely nonexpansive mappings in the setting of Hilbert spaces. We propose a new...

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

iterative methods for equilibrium problems, variational inequalities and fixed points

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

A general composite iterative method for generalized mixed equilibrium problems, variational inequality problems and optimization problems

In this article, we introduce a 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 nonexpansive mappings and the set of solutions of a variational inequality problem for an inverse-strongly monotone mapping in Hilbert spaces. It is shown that the sequence generat...