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، 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
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
آمار تعداد مشاهده مقاله: 18,545 تعداد دریافت فایل اصل مقاله: 12,975

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