Weak convergence theorems for nearly asymptotically nonexpansive mappings and asymptotically nonexpansive non-self mappings in uniformly convex Banach spaces

Abstract

Abstract. In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two nearly asymptotically nonexpansive self mappings and two asymptotically nonexpansive non-self mappings. Weak convergence theorems are established in uniformly convex Banach spaces. Our results extend and generalize the corresponding results given in the current existing literature.