Approximating a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

Abstract

The purpose of this paper is to prove convergence of a one-step iterative algorithm to approximate a common fixed point of finite family of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space by assuming some control conditions on the parameters. Our results extend and improve the corresponding results in the literature.