Slow solutions of differential inclusions and vector optimization

Enrico Miglierina, E. Miglierina

Research output: Contribution to journalArticlepeer-review

9 Citations (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.
Original languageEnglish
Pages (from-to)345-356
Number of pages12
JournalSet-Valued Analysis
Volume12
DOIs
Publication statusPublished - 2004

Keywords

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

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