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