Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps-Reference-Cited by-同舟云学术

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

Published:2018-08-01 Issue:3 Volume:7 Page:307-311
ISSN:2191-9496
Container-title:Advances in Nonlinear Analysis
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Author:

Altwaijry Najla¹,Chebbi Souhail²,Hammami Hakim³,Gourdel Pascal⁴

Affiliation:

1. College of Science, King Saud University, Box 2455, Riyadh11451, Saudi Arabia

2. Mathematics, College of Science, King Saud University, Box 2455, Riyadh11451, Saudi Arabia

3. College of Telecom and Information, Riyadh, Saudi Arabia

4. Paris School of Economics, University of Paris 1, Panthéon Sorbonne, CNRS, CES. M.S.E. 106 Boulevard de l’Hôpital, 75647Pariscedex 13, France

Abstract

AbstractWe 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.

Funder

King Abdulaziz City for Science and Technology

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/downloadpdf/journals/anona/7/3/article-p307.xml

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5. A degree theory, fixed point theorems and mappings theorems for multivalued noncompact mappings;Trans. Amer. Math. Soc.,1974

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