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

Author

Listed:
  • 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 des Ponts ParisTech - 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)

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.

Suggested Citation

  • Altwaijry Najla & Souhail Chebbi & Hakim Hammami & Pascal Gourdel, 2018. "Borsuk’s antipodal fixed points theorems for compact or condensing set-valued maps," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01477126, HAL.
    • Handle: RePEc:hal:cesptp:hal-01477126
    DOI: 10.1515/anona-2016-0128
    as

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