Maximal Elements in Topological Convex Spaces

We introduce axiomatically a more general notion of a convex space dropping one axiom, the so called cancellation law. A wider class of convex sets includes in particular ordinary convex sets and semilattices. Then we introduce a notion of a topological convex space and establish for it theorems like KKM and existence of maximal elements of binary relations.

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Year of publication:	1998
Authors:	Danilov, V. ; Sotskov, A.
Institutions:	Centre de recherche de mathématiques et économie mathématique (CERMSEM), Centre d'Économie de la Sorbonne
Subject:	MATHEMATICS

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Series:	Papiers d'Economie Mathématique et Applications.
Type of publication:	Book / Working Paper
Notes:	8 pages
Classification:	C10 - Econometric and Statistical Methods: General. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005630630