Borsuk's antipodal fixed points theorems for compact or condensing set-valued maps

被引：2

作者：

Altwaijry, Najla ^{[1
]}

Chebbi, Souhail ^{[2
]}

Hammami, Hakim ^{[3
]}

Gourdel, Pascal ^{[4
]}

机构：

[1] King Saud Univ, Coll Sci, Box 2455, Riyadh 11451, Saudi Arabia

[2] King Saud Univ, Coll Sci, Math, Box 2455, Riyadh 11451, Saudi Arabia

[3] Coll Telecom & Informat, Riyadh, Saudi Arabia

[4] Univ Paris 1 Pantheon Sorbonne, Paris Sch Econ, CNRS, CES MSE, 106 Blvd Hop, F-75647 Paris 13, France

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2018年 / 7卷 / 03期

关键词：

Borsuk's antipodal fixed point theorem; approximative selection; antipodally approximable set-valued maps; compact set-valued maps; measure of non-compactness; condensing set-valued maps; HOMOTOPY METHOD;

D O I：

10.1515/anona-2016-0128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a generalized version of the well-known Borsuk's antipodal fixed point theorem for a large class of antipodally approachable condensing or compact set-valued maps defined on closed subsets of locally convex topological vector spaces. These results contain corresponding results obtained in the literature for compact set-valued maps with convex values.

引用

页码：307 / 311

页数：5

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