Modified Iterative Algorithm For Family Of Asymptotically Nonexpansive Mappings In Banach Spaces

Abstract

In this paper we introduce a new modified iterative scheme for approximation of common fixed points of countably infinite family of asymptotically nonexpansive mappings and solutions of some variational inequality problems. We prove strong convergence theorem that extend and generalize some recent results. Our Theorem particularly, is applicable in lp spaces (1 <p< ∞).