A Nonconevx Separation Property in Banach Spaces

We establish, in infinite dimensional Banach space, a nonconvex separation property for general closed sets that is an extension of Hahn-Banach separation theorem. We provide some consequences in optimization, in particular the existence of singular multipliers and show the relation of our principle with the extremal principle of Mordukhovich.

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Year of publication:	1997
Authors:	Borwein, J. ; Jofre, A.
Institutions:	Centre de recherche de mathématiques et économie mathématique (CERMSEM), Centre d'Économie de la Sorbonne
Subject:	OPTIMIZATION

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Series:	Papiers d'Economie Mathématique et Applications.
Type of publication:	Book / Working Paper
Notes:	11 pages
Classification:	C10 - Econometric and Statistical Methods: General. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005475293