Slow solutions of differential inclusions and vector optimization

Enrico Miglierina, E. Miglierina

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9 Citazioni (Scopus)

Abstract

The present work develops a new approach for studying the dynamic evolution of a vector optimization problem. We introduce a convenient differential inclusion that rules the dynamics of the optimization problem. Actually we consider a sort of 'gradient system' defined by vector valued functions. The main tool used is a completely new adaptation to the vector problem of the notion of pseudogradient, which is a well-known concept in the modern critical point theory. Finally we study a special class of solutions of the above quoted differential inclusion: the slow solutions.
Lingua originaleEnglish
pagine (da-a)345-356
Numero di pagine12
RivistaSet-Valued Analysis
Volume12
DOI
Stato di pubblicazionePubblicato - 2004

Keywords

  • critical points for vector valued functions
  • gradient systems
  • pseudogradient
  • slow solution
  • vector optimization

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