On Generalized Constrained Optimization and Separation Theorems

Letizia Pellegrini ()

No 64/2009, Working Papers from University of Verona, Department of Economics

Abstract: In this paper a generalized format for a constrained extremum problem is considered. Subsequently, the paper investigates and deepens some aspects concerning the linear separation between two sets in the Euclidean space, that are a convex cone and a generic set. A condition equivalent to their linear separation is given. Moreover, a condition equivalent to regular linear separation is proposed; this condition includes also the nonconvex case and it is finalized to the application to the generalized constrained extremum problems.

Keywords: Separation; optimality conditions. (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Pages: 19
Date: 2009-10
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