| Issue |
RAIRO-Oper. Res.
Volume 60, Number 3, May-June 2026
|
|
|---|---|---|
| Page(s) | 1393 - 1406 | |
| DOI | https://doi.org/10.1051/ro/2026030 | |
| Published online | 20 May 2026 | |
On generalized alternative stationarity for mathematical programs with switching constraints
LIMAS, FSDM, Sidi Mohamed Ben Abdellah University, Fes, Morocco
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
5
July
2025
Accepted:
23
March
2026
Abstract
We study a mathematical program with switching constraints (MPSC). By introducing a suitable constraint qualification and an alternative stationarity concept, we derive necessary optimality conditions using 𝒟-directional upper convexificators and 𝒟-directional upper semi-regular convexificators, where 𝒟 is a nonempty closed cone within the set of continuity directions for functions that may lack continuity. An illustrative example is provided.
Mathematics Subject Classification: 90C30 / 90C33 / 90C46 / 49J52
Key words: 𝒟-directional upper convexificators / 𝒟-directional upper semi-regular convexificators / constraint qualification / mathematical programs with switching constraints / optimality conditions
© The authors. Published by EDP Sciences, ROADEF, SMAI 2026
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