| Issue |
RAIRO-Oper. Res.
Volume 52, Number 2, April–June 2018
|
|
|---|---|---|
| Page(s) | 543 - 559 | |
| DOI | https://doi.org/10.1051/ro/2017042 | |
| Published online | 20 July 2018 | |
Contingent derivatives and necessary efficiency conditions for vector equilibrium problems with constraints
1
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: dvluu@math.ac.vn
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.