Document Type : Research Article
Authors
Department of Mathematics‎, ‎Payame Noor University (PNU)‎,‎ P.O‎. ‎Box 19395-4697‎, ‎Tehran‎, ‎Iran‎.
Abstract
This paper aims to establish first-order necessary optimality conditions for non-smooth multi-objective generalized semi-infinite programming problems. These problems involve inequality constraints whose index set depends on the decision vector, and all emerging functions are assumed to be locally Lipschitz. We introduce a new constraint qualification for these problems. Building upon this qualification, we derive an upper estimate for the Clarke sub-differential of the value function of the problem. Furthermore, we demonstrate the necessary optimality conditions for properly efficient solutions to the problem.
Keywords
- Constraint qualification
- Generalized semi-infinite optimization
- Clarke subdifferential
- Marginal function
Main Subjects
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