An Iterative Algorithm for a Common Solution of Split Equality of Variational Inequality Problem of Pseudomonotone Mappings in Banach Spaces

Abstract

In this thesis we introduced an iterative algorithm for a common solution of split equality of variational inequality problem of pseudomonotone mappings in Ba nach spaces and proved a strong convergence of a sequence generated by proposed algorithm to asolution of split equality of variational inequality problem of pseu domonotone mappings in Banach spaces. Finally, we gave applications of our main results to approximate a common solution of split equality minimum point prob lem for convex functions in real re exive Banach spaces. Our results extended and generalized many results in the literature.