| Issue |
RAIRO-Oper. Res.
Volume 55, Number 5, September-October 2021
|
|
|---|---|---|
| Page(s) | 3041 - 3048 | |
| DOI | https://doi.org/10.1051/ro/2021139 | |
| Published online | 13 October 2021 | |
Optimality conditions for nonsmooth multiobjective bilevel optimization using tangential subdifferentials
1
FSDM, Department of Mathematics, Sidi Mohamed Ben Abdellah University, Fez, Morocco
2
School of Science and Engineering, Al Akhawayn University in Ifrane, PO Box 104, Ifrane 53000, Morocco
* Corresponding author: E.Kalmoun@aui.ma; kalmoun@gmail.com
Received:
20
April
2021
Accepted:
9
September
2021
In combining the value function approach and tangential subdifferentials, we establish necessary optimality conditions of a nonsmooth multiobjective bilevel programming problem under a suitable constraint qualification. The upper level objectives and constraint functions are neither assumed to be necessarily locally Lipschitz nor convex.
Mathematics Subject Classification: 49J52 / 90C46 / 58E35
Key words: Nonsmooth multiobjective optimization / bilevel programming / optimality conditions / optimal value function / constraint qualifications / tangential subdifferentials
© The authors. Published by EDP Sciences, ROADEF, SMAI 2021
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