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 language | English |
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Pages (from-to) | 345-356 |
Number of pages | 12 |
Journal | Set-Valued Analysis |
Volume | 12 |
DOIs | |
Publication status | Published - 2004 |
Keywords
- critical points for vector valued functions
- gradient systems
- pseudogradient
- slow solution
- vector optimization