Volume 52, Number 2, April–June 2018
|Page(s)||543 - 559|
|Published online||20 July 2018|
Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints
Department of Mathematics and Informatics, Thang Long University, Hanoi, and Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi.
2 Department of Mathematics, Quang Nam University, Tam Ky, Vietnam.
a Corresponding author: email@example.com
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.
Mathematics Subject Classification: 90C46 / 90C29 / 49J52
Key words: Vector equilibrium problems / Local weak efficient solutions / Constraint qualifications / Fritz John and Karush–Kuhn–Tucker efficiency conditions
© EDP Sciences, ROADEF, SMAI 2018
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