On Generalized Constrained Optimization and Separation Theorems
AbstractIn 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.
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Bibliographic InfoPaper provided by University of Verona, Department of Economics in its series Working Papers with number 64/2009.
Date of creation: Oct 2009
Date of revision:
Separation; optimality conditions.;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-11-21 (All new papers)
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