Stability of critical points for vector valued functions and Pareto efficiency

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

In this work we consider the crtical points of a vector-valued functions, as defined by S. Smale. We study their stability in order to obtain a necessary conditions for Pareto efficiency. We point out, by an example, that the classical notions of stability (concerning a single point) are not suitable in this setting. We use a stability notion for sets to prove that the counterimage of a minimal point is stable. This result is based on the study of a dynamical system defined by a differential inclusion. In the vector case this inclusion plays the same role as gradient system in the scalar setting.
Lingua originaleEnglish
pagine (da-a)413-422
Numero di pagine10
RivistaJOURNAL OF INFORMATION & OPTIMIZATION SCIENCES
Volume24
Stato di pubblicazionePubblicato - 2003

Keywords

  • critical points
  • stability
  • vector-valued function

Fingerprint

Entra nei temi di ricerca di 'Stability of critical points for vector valued functions and Pareto efficiency'. Insieme formano una fingerprint unica.

Cita questo