On asymptotically nonexpansive mappings in hyperconvex metric spaces

被引：34
|
作者：
Khamsi, MA [1 ]
机构：
[1] Univ Texas, Dept Math Sci, El Paso, TX 79968 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 02期
关键词：
nonexpansive mappings; asymptotically nonexpansive mappings; fixed point; hyperconvex;
D O I：
10.1090/S0002-9939-03-07172-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Since bounded hyperconvex metric spaces have the fixed point property for nonexpansive mappings, it is natural to extend such a powerful result to asymptotically nonexpansive mappings. Our main result states that the approximate fixed point property holds in this case. The proof is based on the use, for the first time, of the ultrapower of a metric space.
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页码：365 / 373
页数：9
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