A nonconvex separation property in Banach spaces

نویسندگان

  • Jonathan M. Borwein
  • Alejandro Jofré
چکیده

We establish, in innnite 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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عنوان ژورنال:
  • Math. Meth. of OR

دوره 48  شماره 

صفحات  -

تاریخ انتشار 1998