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On Generalized Constrained Optimization and Separation Theorems


  • Letizia Pellegrini

    () (Department of Economics (University of Verona))


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.

Suggested Citation

  • Letizia Pellegrini, 2009. "On Generalized Constrained Optimization and Separation Theorems," Working Papers 64/2009, University of Verona, Department of Economics.
  • Handle: RePEc:ver:wpaper:64/2009

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    Separation; optimality conditions.;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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