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

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Author Info
Jean-Marc Bonnisseau () (Paris School of Economics - Centre d'Economie de la Sorbonne)
Souhail Chebbi () (King Saud University)
Pascal Gourdel () (Paris School of Economics - Centre d'Economie de la Sorbonne)
Hakim Hammami () (Ecole Polytechnique de Tunisie et Centre d'Economie de la Sorbonne - Paris School of Economics)

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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.

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File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2007/B07077.pdf
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Publisher Info
Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number b07077.

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Length: 12 pages
Date of creation: Dec 2007
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Handle: RePEc:mse:cesdoc:b07077

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Web page: http://ces.univ-paris1.fr/
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Related research
Keywords: Borsuk's antipodal Theorem; balanced set; approachable selection; fixed points.;

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Find related papers by JEL classification:
C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
C65 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Miscellaneous Mathematical Tools
C69 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Other

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This page was last updated on 2009-11-23.

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