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

نویسندگان
Saluja, G.S. ID 1

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

doi
10.22075/ijnaa.2011.108
چکیده

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]).

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