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

PELLEGRINI, Letizia
2013

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.
Vector optimization; Image Space; separation
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/786364
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