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A nonconvex separation property in Banach spaces

Borwein, Jonathan M. and Jofre, Alejandro (1998) A nonconvex separation property in Banach spaces. ZOR: Math. Methods of Operations Research, 48 . pp. 169-179.

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      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.

      Item Type: Article
      Additional Information: pubdom FALSE
      Uncontrolled Keywords: subgradients, nonconvex separation, singular multiplier
      Subjects: UNSPECIFIED
      Faculty: UNSPECIFIED
      Depositing User: Users 1 not found.
      Date Deposited: 25 Nov 2003
      Last Modified: 21 Sep 2014 16:15
      URI: https://docserver.carma.newcastle.edu.au/id/eprint/197

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