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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Vydané v:Optimization Ročník 60; číslo 5; s. 575 - 591
Hlavní autori: Durea, M., Strugariu, R.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Philadelphia Taylor & Francis Group 01.05.2011
Taylor & Francis LLC
Predmet:
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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Abstract 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.
AbstractList 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. [PUBLICATION ABSTRACT]
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.
Author Durea, M.
Strugariu, R.
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  organization: Department of Mathematics , Gh. Asachi Technical University
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Cites_doi 10.1007/s10898-008-9336-4
10.1007/s10107-004-0569-9
10.1007/s10107-008-0249-2
10.1016/j.jmaa.2008.07.039
10.1023/A:1008746317549
10.1142/9789812777096
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SubjectTerms Fréchet coderivative
generalized Fermat rules
Mathematical functions
Minima
Mordukhovich coderivative
openness
Optimization
Optimization techniques
Pareto optimality
Pareto optimum
Recovery
set-valued mappings
Studies
Title On some Fermat rules for set-valued optimization problems
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