Geodesic
Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints
RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 543-559

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We establish Fritz John necessary conditions for local weak efficient solutions of vector equilibrium problems with constraints in terms of contingent derivatives. Under suitable constraint qualifications, Karush–Kuhn–Tucker necessary conditions for those solutions are investigated.

DOI : 10.1051/ro/2017042
Classification : 90C46, 90C29, 49J52
Keywords: Vector equilibrium problems, Local weak efficient solutions, Constraint qualifications, Fritz John and Karush–Kuhn–Tucker efficiency conditions

Luu, Do Van 1 ; Su, Tran Van 1

1 
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     author = {Luu, Do Van and Su, Tran Van},
     title = {Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {543--559},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {2},
     year = {2018},
     doi = {10.1051/ro/2017042},
     mrnumber = {3880543},
     zbl = {1398.90201},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2017042/}
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Luu, Do Van; Su, Tran Van. Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 2, pp. 543-559. doi: 10.1051/ro/2017042

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