CONVERGENCE THEOREMS FOR GENERALIZED ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND ASYMPTOTICALLY NONEXPANSIVE NON-SELF MAPPINGS IN UNIFORMLY CONVEX BANACH SPACES

Abstract

In this paper, we proposed and study a new two-step iteration scheme of hybrid mixed type for two generalized asymptotically nonexpansive self mappings and two asymptotically nonexpansive non-self mappings and establish some strong and weak convergence theorems for mentioned scheme and mappings in uniformly convex Banach spaces. Our results extend and generalize the corresponding results given in the current existing literature.