| Issue |
RAIRO-Oper. Res.
Volume 52, Number 4-5, October–December 2018
|
|
|---|---|---|
| Page(s) | 1019 - 1041 | |
| DOI | https://doi.org/10.1051/ro/2018020 | |
| Published online | 22 November 2018 | |
Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential★
Department of Mathematics, College of Natural Sciences, Can Tho University,
Can Tho
900000, Vietnam.
* Corresponding author: lttung@ctu.edu.vn
Received:
8
August
2017
Accepted:
1
March
2018
The main aim of this paper is to study strong Karush–Kuhn–Tucker (KKT) optimality conditions for nonsmooth multiobjective semi-infinite programming (MSIP) problems. By using tangential subdifferential and suitable regularity conditions, we establish some strong necessary optimality conditions for some types of efficient solutions of nonsmooth MSIP problems. In addition to the theoretical results, some examples are provided to illustrate the advantages of our outcomes.
Mathematics Subject Classification: 90C32 / 90C29 / 49K99
Key words: Multiobjective semi-infinite programming / efficient solution / weakly efficient solution / strong Karush–Kuhn–Tucker optimality conditions / tangential subdifferential
© EDP Sciences, ROADEF, SMAI 2018
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