Optimality Conditions for Properly Efficient Solutions of Nonsmooth Multiobjective GSIP
نویسندگان
1 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran.
2 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran.
3 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran.
doi
10.30473/coam.2023.67823.1234چکیده
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.
