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

Author

Department of Mathematics & Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India.

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]).

Keywords