Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings

被引：89

作者：

García-Falset, J

Llorens-Fuster, E

Mazcuñan-Navarro, EM

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

[2] Univ Leon, Dept Matemat, E-24071 Leon, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 233卷 / 02期

关键词：

nonexpansive mappings; fixed points; uniformly nonsquare spaces; nearly uniform smoothness;

D O I：

10.1016/j.jfa.2005.09.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that if the modulus Gamma(X) of nearly uniform smoothness of a reflexive Banach space satisfies Gamma'(X) (0) < 1, then every bounded closed convex subset of X has the fixed point property for nonexpansive mappings. In particular, uniformly nonsquare Banach spaces have this property since they are properly included in this class of spaces. This answers a long-standing question in the theory. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：494 / 514

页数：21

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