Convergence Theorems for a Finite Family of l-Asymptotically Nonexpansive Mappings in Banach Spaces

Abstract

In this paper, a new two-step iterative scheme for a finite family of Ii-asymptocally nonexpansive mappings {Ti}Ni=1 is constructed in a uniformly convex Banach space. Weak and strong convergence theorems of this iterative scheme to a common fixed point of {Ti}Ni=1 and {Ii}Ni=1 are proved in a uniformly convex Banach space.