This research explores optimized conditions in mathematical programs with switching constraints, indicating implications for non-continuous functions.
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.
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GADHI et al. (2026) studied this question.
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