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.
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页码：1584 / 1587
页数：4
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