Iterative Approximation Of Solutions Of Variational Inequality Problems

Abstract

In this paper, we prove strong convergence of implicit and explicit iterative method to solutions of variational inequality problems on fixed point sets of finite family of nonexpansive mappings in q-uniformly smooth real Banach spaces. As an application, we obtain strong convergence of modifications of these iterative methods to solutions of the variational inequality problems on fixed point sets of finite family of strictly pseudocontractive mappings. Our theorems complement some recently announced results.