Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projections

被引：7

作者：

Dehghan, Hossein ^{[1
,2
]}

机构：

[1] IASBS, Dept Math, Gava Zang 4513766731, Zanjan, Iran

[2] Roozbeh Inst Higher Educ, Zanjan, Iran

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 09期

关键词：

Asymptotically nonexpansive mapping; Metric projection; Uniformly convex Banach space; Approximating fixed point; STRONG-CONVERGENCE THEOREMS; ITERATIONS; WEAK;

D O I：

10.1016/j.aml.2011.03.051

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex ant! smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita and Takahashi [S. Matsushita, W. Takahashi, Approximating fixed points of nonexpansive mappings in a Banach space by metric projections, Appl. Math. Comput. 196 (2008) 422-425] which was established for nonexpansive mappings. (C) 2011 Elsevier Ltd. All rights reserved.

引用

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页码：1584 / 1587

页数：4

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