This paper aims to study, in the image space, a certain approximation of a constrained extremum problem: the approximation is obtained by substituting the functions involved with their G-derivatives. It is shown that, in the hypothesis of G-differentiability, the linear separation between a given convex set and the image of the approximated problem is equivalent to the semistationarity of the Lagrangian function associated to the original problem. Similar results are obtained considering approximations involving the Dini-Hadamard derivatives.

Linear separation for G-semidifferentiable problems

PELLEGRINI, Letizia
1997-01-01

Abstract

This paper aims to study, in the image space, a certain approximation of a constrained extremum problem: the approximation is obtained by substituting the functions involved with their G-derivatives. It is shown that, in the hypothesis of G-differentiability, the linear separation between a given convex set and the image of the approximated problem is equivalent to the semistationarity of the Lagrangian function associated to the original problem. Similar results are obtained considering approximations involving the Dini-Hadamard derivatives.
1997
Linear separation
G-semidifferentiability
Image space
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11562/10663
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact