WEAK AND STRONG CONVERGENCE OF A SCHEME FOR TWO NONSELF NONEXPANSIVE MAPPINGS IN BANACH SPACES

Abstract

Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E, which is also a nonexpansive retract from E onto K with nonexpansive retraction P. Let S,T:K -> E be two nonself nonexpansive mappings such that their common fixed point set is not empty. Some strong and weak convergence theorems are obtained under some suitable conditions in real uniformly convex Banach space.