| Issue |
RAIRO-Oper. Res.
Volume 56, Number 6, November-December 2022
|
|
|---|---|---|
| Page(s) | 4303 - 4316 | |
| DOI | https://doi.org/10.1051/ro/2022203 | |
| Published online | 21 December 2022 | |
Optimality conditions for MPECs in terms of directional upper convexifactors
LAMA, FSDM, Sidi Mohamed Ben Abdellah University, Fes, Morocco
* Corresponding author: ohda.fsdm2021@gmail.com
Received:
12
April
2022
Accepted:
13
November
2022
In this paper, we investigate necessary and sufficient optimality conditions for mathematical programs with equilibrium constraints. For this goal, we introduce an appropriate type of MPEC regularity condition and a stationary concept given in terms of directional upper convexificators and directional upper semi-regular convexificators. The appearing functions are not necessarily smooth/locally Lipschitz/convex/continuous, and the continuity directions’ sets are not assumed to be compact or convex. Finally, notions of directional pseudoconvexity and directional quasiconvexity are used to establish sufficient optimality conditions for MPECs.
Mathematics Subject Classification: 90C30 / 90C33 / 90C46 / 49J52
Key words: Directional upper convexificators / directional upper semi-regular convexificators / regularity conditions / mathematical programs with equilibrium constraints / optimality conditions
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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