On some Fermat rules for set-valued optimization problems

The aim of this article is to obtain necessary optimality conditions for Pareto minima in set-valued optimization problems. We employ a new method to derive generalized Fermat rules for set-valued optimization. This method is based on openness results for multifunctions and allows recovery of a larg...

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Vydáno v:Optimization Ročník 60; číslo 5; s. 575 - 591
Hlavní autoři: Durea, M., Strugariu, R.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis Group 01.05.2011
Taylor & Francis LLC
Témata:
Fréchet coderivative
generalized Fermat rules
Mathematical functions
Minima
Mordukhovich coderivative
openness
Optimization
Optimization techniques
Pareto optimality
Pareto optimum
Recovery
set-valued mappings
Studies
ISSN:0233-1934, 1029-4945
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Shrnutí:The aim of this article is to obtain necessary optimality conditions for Pareto minima in set-valued optimization problems. We employ a new method to derive generalized Fermat rules for set-valued optimization. This method is based on openness results for multifunctions and allows recovery of a large number of results and, at the same time, getting several new ones.
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331930903531527