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

Publish Year: 1390
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJNAA-2-1_011

تاریخ نمایه سازی: 11 آذر 1401

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. [۲, ۳, ۵, ۶, ۷, ۸, ۱۱, ۱۴, ۱۹]).

Keywords:

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

Authors

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