CONVERGENCE THEOREMS OF THREE STEP RANDOM ITERATION SCHEME WITH ERRORS FOR NONSELF ASYMPTOTICALLY NONEXPANSIVE RANDOM MAPPINGS

Abstract

In this paper, we introduce a three step random iteration scheme with errors and prove that the iteration scheme converges to a random fixed point of nonself asymptotically nonexpansive random mappings in uniformly convex separable Banach spaces. The results presented in this paper extend and improve the recent ones announced by Zhou andWang [21] and many others.