Borsuk's antipodal and fixed-point theorems for correspondences without convex values

Jean-Marc BONNISSEAU (), Souhail Chebbi (), Pascal Gourdel and Hakim Hammami ()
Additional contact information
Souhail Chebbi: King Saud University, http://cermsem.univ-paris1.fr
Hakim Hammami: Ecole Polytechnique de Tunisie et Centre d'Economie de la Sorbonne - Paris School of Economics, http://cermsem.univ-paris1.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: We present an extension of Borsuk's antipodal theorem (existence of a zero) for antipodally approachable correspondences without convex values. This result is a generalization of Borsuk-Ulam Theorem and has a fixed-point equivalent formulation.

Keywords: Borsuk's antipodal Theorem; balanced set; approachable selection; fixed points. (search for similar items in EconPapers)
JEL-codes: C02 C65 C69 (search for similar items in EconPapers)
Date: 2007-12

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ftp://mse.univ-paris1.fr/pub/mse/CES2007/B07077.pdf (application/pdf)

Related works:
Working Paper: Borsuk's antipodal and fixed-point theorems for correspondences without convex values (2007)
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Persistent link: http://EconPapers.repec.org/RePEc:mse:cesdoc:b07077

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