A nonconvex separation property in Banach spaces |
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| Authors: | Jonathan M Borwein Alejandro Jofré |
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| Institution: | (1) CECM, Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada (e-mail: jborwein@cecm.sfu.ca), CA;(2) Departamento de Ingeniería Matemática Universidad de Chile, Casilla 170, correo 3, Santiago, Chile (e-mail: ajofre@dim.uchile.cl), CL |
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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 property with the extremal principle of Mordukhovich.
Received October 1997/Revised version February 1998 |
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| Keywords: | : Subgradients nonconvex separation singular multiplier normal vectors |
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