Borsuk's antipodal and fixed-point theorems for correspondences without convex values
AbstractWe 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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Bibliographic InfoPaper 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.
Length: 12 pages
Date of creation: Dec 2007
Date of revision:
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Borsuk's antipodal Theorem; balanced set; approachable selection; fixed points.;
Other versions of this item:
- Jean-Marc Bonnisseau & Souhail Chebbi & Pascal Gourdel & Hakim Hammami, 2007. "Borsuk's antipodal and fixed-point theorems for correspondences without convex values," UniversitÃ© Paris1 PanthÃ©on-Sorbonne (Post-Print and Working Papers) halshs-00204615, HAL.
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-16 (All new papers)
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