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.
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页码：465 / 480
页数：16
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