A nonconvex separation property in Banach spaces

Jonathan M. Borwein and Alejandro Jofré

Mathematical Methods of Operations Research, 1998, vol. 48, issue 2, 169-179

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 property with the extremal principle of Mordukhovich. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Subgradients; nonconvex separation; singular multiplier; normal vectors (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:48:y:1998:i:2:p:169-179

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DOI: 10.1007/s001860050019

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