A Nonconevx Separation Property in Banach Spaces

J. Borwein and A. Jofre

Papiers d'Economie Mathématique et Applications from Université Panthéon-Sorbonne (Paris 1)

Abstract: 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.

Keywords: OPTIMIZATION (search for similar items in EconPapers)
JEL-codes: C10 (search for similar items in EconPapers)
Pages: 11 pages
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:fth:pariem:97.93

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