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:	HAL
Subject:	Borsuk's antipodal Theorem \| balanced set \| approachable selection \| fixed points

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Extent:	application/pdf
Series:	Post-Print.
Type of publication:	Book / Working Paper
Notes:	View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00204615
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010750522