Lim's theorems for multivalued mappings in CAT(0) spaces

被引：93

作者：

Dhompongsa, S ^{[1
]}

Kaewkhao, A ^{[1
]}

Panyanak, B ^{[1
]}

机构：

[1] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai 50200, Thailand

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 312卷 / 02期

关键词：

multivalued mappings; fixed points; CAT(0) spaces; R-trees;

D O I：

10.1016/j.jmaa.2005.03.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X be a complete CAT(0) space. We prove that, if E is a nonempty bounded closed convex subset of X and T : E -> K (X) a nonexpansive mapping satisfying the weakly inward condition, i.e., there exists p E E such that ap E) (1 - alpha)Tx subset of <(I-E (x))over bar> for all x is an element of E, for all alpha E [0, 1], then T has a fixed point. In Banach spaces, this is a result of Lim [On asymptotic centers and fixed points of nonexpansive mappings, Canad. J. Math. 32 (1980) 421-4301. The related result for unbounded R-trees is given. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：478 / 487

页数：10

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