The strong convergence for solutions of pseudomonotone variational inequality problem in Banach spaces

Abstract

In this paper, based on the line-search technique, an iteration method to solve pseudomonotone variational inequality problem in 2-uniformly convex Banach spaces is introduced. The iteration scheme presented in this paper is proved to converge strongly to a solution of the pseudomonotone variational inequality problem. Our result extends the main result in [4]