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

Jean-Marc BONNISSEAU (), Souhail Chebbi (), Pascal Gourdel and Hakim Hammami ()
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Souhail Chebbi: King Saud University - Faculty of Sciences de Bizerte
Hakim Hammami: CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Panthéon-Sorbonne - Paris I, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris, Ecole Polytechnique de Tunisie - EPT

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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)
Date: 2007-12
Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00204615/en/

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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:hal:cesptp:halshs-00204615_v1

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