Nonsmooth multiobjective programming and constraint qualifications

We consider a nonsmooth multiobjective programming problem with inequality and set constraints. By using the notion of convexificator, we extend the Abadie constraint qualification, and derive the strong Kuhn-Tucker necessary optimality conditions. Some other constraint qualifications have been gene...

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Vydáno v:Optimization Ročník 62; číslo 6; s. 783 - 795
Hlavní autoři: Golestani, M., Nobakhtian, S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Philadelphia Taylor & Francis Group 01.06.2013
Taylor & Francis LLC
Témata:
constraint qualification
Inequalities
Mathematical analysis
multiobjective optimization
necessary conditions
nonsmooth analysis
Optimization
Programming
Qualifications
Studies
ISSN:0233-1934, 1029-4945
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Shrnutí:We consider a nonsmooth multiobjective programming problem with inequality and set constraints. By using the notion of convexificator, we extend the Abadie constraint qualification, and derive the strong Kuhn-Tucker necessary optimality conditions. Some other constraint qualifications have been generalized and their interrelations are investigated.
Bibliografie:SourceType-Scholarly Journals-1
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ISSN:0233-1934
1029-4945
DOI:10.1080/02331934.2012.679939