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

	Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
International Journal of Nonlinear Analysis and Applications
مقاله 11، دوره 2، شماره 1، فروردین 2011، صفحه 85-96 اصل مقاله (182.38 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2011.108
نویسنده
G.S. Saluja^*
Department of Mathematics & Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India
تاریخ دریافت: 27 خرداد 1389، تاریخ بازنگری: 11 آذر 1389، تاریخ پذیرش: 18 آذر 1389
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

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