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

Altwaijry Najla (), Souhail Chebbi (), Hakim Hammami () and Pascal Gourdel ()
Additional contact information
Altwaijry Najla: KSU - King Saud University [Riyadh]
Souhail Chebbi: KSU - King Saud University [Riyadh]
Hakim Hammami: College of Telecom and Information, Riyadh
Pascal Gourdel: PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique

Post-Print from HAL

Abstract: 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.

Keywords: 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 (search for similar items in EconPapers)
Date: 2018-08-01
References: Add references at CitEc
Citations:

Published in Advances in Nonlinear Analysis, 2018, 7 (3), pp.307-311. ⟨10.1515/anona-2016-0128⟩

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01477126

DOI: 10.1515/anona-2016-0128

Access Statistics for this paper

More papers in Post-Print from HAL
Bibliographic data for series maintained by CCSD ().