Convergence Theorems of a New Three-Step Iteration for Nonself Asymptotically Nonexpansive Mappings

被引：0

作者：

Gunduz, Birol ^{[1
]}

Akbulut, Sezgin ^{[2
]}

机构：

[1] Erzincan Univ, Dept Math, Fac Sci & Art, TR-24000 Erzincan, Turkey

[2] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

来源：

THAI JOURNAL OF MATHEMATICS | 2015年 / 13卷 / 02期

关键词：

nonself asymptotically nonexpansive mapping; strong and weak convergence; common fixed point;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be a real uniformly convex and smooth Banach space with P as a sunny nonexpansive retraction, K be a nonempty closed convex subset of E. Let T-i : K -> E (i = 1, 2, 3) be three of weakly inward and nonself asymptotically nonexpansive mappings with respect to P. It is proved that three step iteration converges weakly and strongly to a common fixed point of T-i (i = 1, 2, 3) under certain conditions. It presents some new results in this paper.

引用

页码：465 / 480

页数：16

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