The Modification of Generalized Mixed Equilibrium Problems for Convergence Theorem of Variational Inequalities Problems and Fixed Point Problems

Wongvisarut Khuangsatung, Suthep Suantai, Atid Kangtunyakarn

Abstract

The purpose  of this research, we modify generalized mixed equilibrium problems and  prove a strong convergence theorem for approximating a common element of the set of such a problem and  variational inequality problem and the set of fixed points  of infinite family of strictly pseudo contractive mappings. Utilizing our main result, we also  prove a strong convergence theorem  involving generalized  equilibrium problems  and variational inequality problems.