Image Space Analysis and Separation for G-Semidifferentiable Vector Problems

Giandomenico Mastroeni () and Letizia Pellegrini ()
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Giandomenico Mastroeni: Department of Computer Science, University of Pisa, Italy
Letizia Pellegrini: Department of Economics (University of Verona)

No 26/2013, Working Papers from University of Verona, Department of Economics

Abstract: This paper aims at studying, in the image space, an approximation of a vector optimization problem obtained by substituting the involved functions with their G-derivatives. It is shown that, under the hypothesis of G-differentiability, the existence of a semistationary point is equivalent to the linear separation between the image of the approximated problem and a suitable convex subset of the image space. Applications to optimality conditions are provided.

Keywords: Vector Optimization; Image Space; Separation (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Pages: 19
Date: 2013-12
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