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

Abstract

In this paper, we define and study sufficient and necessary conditions for modified finite-step iterative sequences with mean errors for a finite family of generalized asymptotically quasi-nonexpansive mappings in real Banach spaces to converge to a common fixed point. The results of this paper can be viewed as an improve and extend the corresponding results of [12], [13] and others.