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

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. [۲, ۳, ۵, ۶, ۷, ۸, ۱۱, ۱۴, ۱۹]).

کلیدواژه ها:

Generalized asymptotically quasi–nonexpansive mapping ، multi-step iterative algorithm with bounded errors ، Common fixed point ، Banach space ، strong convergence