Approximating fixed points of Suzuki-generalized nonexpansive mappings

被引：33
|
作者：
Phuengrattana, Withun [1 ]
机构：
[1] Nakhon Pathom Rajabhat Univ, Fac Sci & Technol, Math Program, Nakhon Pathom 73000, Thailand
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2011年 / 5卷 / 03期
关键词：
Fixed point; Nonexpansive mapping; Convergence theorem; Uniformly convex Banach spaces; CAT(0) spaces; INVARIANT APPROXIMATIONS; CONVERGENCE THEOREMS; CAT(0);
D O I：
10.1016/j.nahs.2010.12.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we prove weak and strong convergence theorems for Ishikawa iteration of Suzuki-generalized nonexpansive mappings in uniformly convex Banach spaces. Furthermore, we extend the results to CAT(0) spaces. Our work extends the results of Suzuki [T. Suzuki, Fixed point theorems and convergence theorems for some generalized nonexpansive mapping, J. Math. Anal. Appl. 340 (2008) 1088-1095] and Takahashi and Kim [W. Takahashi, G.E. Kim, Approximating fixed points of nonexpansive mappings in Banach spaces, Math. Jpn. 48 (1998) 1-9]. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：583 / 590
页数：8
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