Borsuk's antipodal theorem for approachable correspondences

Jean-Marc Bonnisseau; Souhail Chebbi; Pascal Gourdel; Hakim Hammami

halshs-00639803, version 1

Borsuk's antipodal theorem for approachable correspondences

Jean-Marc Bonnisseau () ^1, 2, Souhail Chebbi () ³, Pascal Gourdel () ^1, 2, Hakim Hammami () ^1, 2, 4

Nonlinear Analysis: Theory, Methods and Applications 73, 11 (2010) 3502-3506

Abstract: We present an extension of Borsuk's antipodal theorem (on the existence of a zero) to antipodally approachable correspondences defined on bounded, symmetric and balanced domains.

1: Centre d'économie de la Sorbonne (CES)
CNRS : UMR8174 – Université Paris I - Panthéon-Sorbonne
2: Ecole d'Économie de Paris - Paris School of Economics (EEP-PSE)
Ecole d'Économie de Paris
3: King Saud University
Faculty of Sciences de Bizerte
4: Ecole Polytechnique de Tunisie
EPT

halshs-00639803, version 1
http://halshs.archives-ouvertes.fr/halshs-00639803
oai:halshs.archives-ouvertes.fr:halshs-00639803
From: Jean-Marc Bonnisseau <>
Submitted on: Thursday, 10 November 2011 09:02:11
Updated on: Thursday, 22 November 2012 12:20:22

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DOI: 10.1016/j.na.2010.06.076

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