Variational Inequalities, Variational Inclusions and Common Fixed Point Problems in Banach Spaces

Abstract

In this paper, let X be a uniformly convex and q-uniformly smooth Banach space with 1 < q ≤ 2. We introduce and study modified implicit extragradient iterations for treating a common solution of a countable family of nonexpansive mappings, a general system of variational inequalities, and a variational inclusion in X.