Virtually stable maps and their fixed point sets

被引：9

作者：

Chaoha, P. ^{[1
,2
]}

Atiponrat, W. ^{[1
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Math, Bangkok 10330, Thailand

[2] PERDO, Natl Ctr Excellence Math, Bangkok 10400, Thailand

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 359卷 / 02期

关键词：

Fixed point set; Convergence set; Virtually nonexpansive; Virtually stable; NONEXPANSIVE-MAPPINGS; SPACES;

D O I：

10.1016/j.jmaa.2009.06.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the concept of virtually stable selfmaps of Hausdorff spaces, which generalizes virtually nonexpansive selfmaps of metric spaces introduced in the previous work by the first author, and explore various properties of their convergence sets and fixed point sets. We also prove that the fixed point set of a virtually stable selfmap satisfying a certain kind of homogeneity is always star-convex. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：536 / 542

页数：7

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