A Convergence Theorem for Variational Inequality Problems and Fixed Points Problems of Multi-Valued Mapping

Abstract

The purpose of this paper is to introduce a new hybrid iterative scheme for finding a common element of the solution set of variational inequality problem and the set of fixed point of relatively nonexpansive multi-valued mapping. Under suitable conditions, we prove some strong convergence theorems for the proposed schemes in Banach spaces. The results presented in this paper were to improve and extend some recent works written by other authors.