Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces

被引：54
|
作者：
Nanjaras, B. [1 ]
Panyanak, B. [1 ]
Phuengrattana, W. [2 ]
机构：
[1] Chaing Mai Univ, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
[2] Nakhon Pathom Rajabhat Univ, Fac Sci & Technol, Math Program, Nakhon Pathom 73000, Thailand
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2010年 / 4卷 / 01期
关键词：
Nonexpansive mapping; Fixed point; Convergence theorem; CAT(0) space; INVARIANT APPROXIMATIONS; SETS;
D O I：
10.1016/j.nahs.2009.07.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Let K be a nonempty subset of a metric space. A mapping T : K -> K is said to satisfy condition (C) (sometimes called Suzuki-generalized nonexpansive) if 1/2d(x, Tx) <= d(x, y) implies d(Tx, Ty) <= d(x, y) for all x, y is an element of K. In this paper, we obtain fixed point theorems and convergence theorems for such mappings in a CAT(0) space setting. Our results extend and improve many results in the literature. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：25 / 31
页数：7
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