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

页码：25 / 31

页数：7

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