A fixed-point characterization of weakly compact sets in L1(μ) spaces

被引：1

作者：

Japon, Maria ^{[1
]}

Lennard, Chris ^{[2
]}

Popescu, Roxana ^{[2
]}

机构：

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

[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 491卷 / 01期

关键词：

Nonexpansive mappings; Uniformly Lipschitzian mappings; Affine mappings; Lebesgue spaces; Weak compactness; NONEXPANSIVE-MAPPINGS; PROPERTY; EQUIVALENT; MAPS; EXISTENCE; SUBSETS;

D O I：

10.1016/j.jmaa.2020.124228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (Omega, Sigma, mu) be a sigma-finite measure space and consider the Lebesgue function space L-1(mu) endowed with its standard norm. We obtain a characterization of weak compactness for closed bounded convex subsets of L-1(mu) in terms of the existence of fixed points for certain classes of eventually affine, uniformly Lipschitzian mappings. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：10

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