Strong Convergence for the Modified Split Monotone Variational Inclusion and Fixed Point Problem

Wongvisarut Khuangsatung, Atid Kangtunyakarn

Abstract

The purpose of this research is to  modify  the split monotone   variational inclusion problem and  prove a strong convergence theorem for finding a common element of the set of solutions of this problem and  the set of fixed points  of a nonexpansive mapping  in Hilbert space.  We also apply our main result  involving a $\kappa$-strictly pseudo-contractive mapping.  Moreover, we give the numerical example to support some of our results.