An Iterative Algorithm for Split Equality of Variational Inequality Problem of a Finite Family of Pseudomonotone Mappings

Abstract

In this paper  we introduced an iterative algorithm for approximating a solution of split equality variational problem  of a finite family pseudomonotone mappings in Hilbert space and proved a strong convergence of a sequence generated by  proposed algorithm to a solution of the problem  in Hilbert spaces provided that the  mappings are uniformly continuous. Finally, we applied our main results to find  solutions of split variational inequality and  split equality zero point problems of a finite family of  pseudomonotone mappings in Hilbert spaces.  Our results extended  and generalized many   results in  the literature.