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 lower 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
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 lower 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
File in questo prodotto:
File Dimensione Formato  
Mastroeni_Pellegrini2015(postprint).pdf

solo utenti autorizzati

Descrizione: Articolo
Tipologia: Documento in Post-print
Licenza: Accesso ristretto
Dimensione 250.88 kB
Formato Adobe PDF
250.88 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/837964
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact