Compactness and the fixed point property in l1

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:444

Article

Dominguez-Benavides, T.¹  Japon, M.¹ 

[1] Univ Seville, Fac Matemat, C Tarfia S-N, E-41012 Seville, Spain

关键词: Nonexpansive mappings;    Uniformly Lipschitzian mappings;    Cascading nonexpansive mappings;    Fixed point;    Compact domain;   

DOI  :  10.1016/j.jmaa.2016.06.019

来源: Elsevier

【 摘 要 】

In this paper we prove that compactness can be characterized by means of the existence of a fixed point for some classes of mappings defined on convex closed subsets of the space l(1). Nominally, our result involves nonexpansive mappings, uniformly Lipschitzian mappings and cascading nonexpansive mappings. We also extend the results to some more general classes of Banach spaces. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free