The Modification of Generalized Mixed Equilibrium Problems for Convergence Theorem of Variational Inequalities Problems and Fixed Point Problems
Wongvisarut Khuangsatung, Suthep Suantai, Atid Kangtunyakarn · Thai Journal of Mathematics · 2021
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.