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.

Image space analysis and separation for G-semidifferentiable vector problems

MASTROENI, GIANDOMENICO;
2015-01-01

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.
2015
Mastroeni, Giandomenico; Pellegrini, Letizia
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/755374
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