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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Bibliographic Details
Published in:Optimization Vol. 60; no. 5; pp. 575 - 591
Main Authors: Durea, M., Strugariu, R.
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis Group 01.05.2011
Taylor & Francis LLC
Subjects:
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
Online Access:Get full text
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Summary: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