Extragradient Method for Solutions of Variational Inequality Problems in Banach Spaces

Abstract

We introduce an iterative process which converges strongly to solutions of a certain variational inequity problem for $\eta$-inverse strongly accretive mappings in the set of common fixed points of finite family of strictly pseudocontractive mappings in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.