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
Hakim Hammami: Ecole Polytechnique de Tunisie et Centre d'Economie de la Sorbonne - Paris School of Economics

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)
Pages: 12 pages
Date: 2007-12
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https://shs.hal.science/halshs-00204615 (application/pdf)

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

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