Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings

	Strong convergence of modified iterative algorithm for family of asymptotically nonexpansive mappings
International Journal of Nonlinear Analysis and Applications
مقاله 8، دوره 7، شماره 2، 2016، صفحه 93-108 اصل مقاله (403.37 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2016.479
نویسنده
Godwin Chidi Ugwunnadi^*
Michael Okpara University of Agriculture, Umudike, Abia State, Nigeria
چکیده
In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach space with a uniformly G$\hat{a}$teaux differentiable norm. Our result is applicable in $L_{p}(\ell_{p})$ spaces, $1 < p <\infty$ and consequently in sobolev spaces.
کلیدواژه‌ها
Fixed point؛ Banach space؛ Asymptotically nonexpansive mapping
آمار تعداد مشاهده مقاله: 47,065 تعداد دریافت فایل اصل مقاله: 57,902

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