Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces

Abstract

The purpose of this paper is to study and give the necessary and<br />sufficient condition of strong convergence of the multi-step iterative algorithm<br />with errors for a finite family of generalized asymptotically quasi-nonexpansive<br />mappings to converge to common fixed points in Banach spaces. Our results<br />extend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8,<br />11, 14, 19]).