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

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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Year of publication:	2007-12
Authors:	Bonnisseau, Jean-Marc ; Chebbi, Souhail ; Gourdel, Pascal ; Hammami, Hakim
Institutions:	Centre d'Économie de la Sorbonne, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Borsuk's antipodal Theorem \| balanced set \| approachable selection \| fixed points

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Extent:	application/pdf
Series:	Documents de travail du Centre d'Economie de la Sorbonne. - ISSN 1955-611X.
Type of publication:	Book / Working Paper
Notes:	12 pages
Classification:	C02 - Mathematical Methods ; C65 - Miscellaneous Mathematical Tools ; C69 - Mathematical Methods and Programming. Other
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005696767