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.
|Numero di pagine||12|
|Stato di pubblicazione||Pubblicato - 2004|
- critical points for vector valued functions
- gradient systems
- slow solution
- vector optimization