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

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.