The concept of lower limit for a real-valued function is extended to vector optimization; the vector lower limit allows us to propose a definition of a vector lower semi-stationary point which extends the concept of critical Pareto point. The study of the strict connection between a lower semi-stationary point and a local vector minimum point permits us to obtain necessary and/or sufficient optimality conditions for non differentiable multiobjective functions, which assume a simple form in the differentiable case. Some of these results are characterized to Pareto vector problems and to the scalar case in order to obtain known conditions and new ones.

Stationary points and necessary conditions in vector extremum problems

MARTEIN, LAURA
1989-01-01

Abstract

The concept of lower limit for a real-valued function is extended to vector optimization; the vector lower limit allows us to propose a definition of a vector lower semi-stationary point which extends the concept of critical Pareto point. The study of the strict connection between a lower semi-stationary point and a local vector minimum point permits us to obtain necessary and/or sufficient optimality conditions for non differentiable multiobjective functions, which assume a simple form in the differentiable case. Some of these results are characterized to Pareto vector problems and to the scalar case in order to obtain known conditions and new ones.
1989
Martein, Laura
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/11568/14016
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

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