Necessary conditions for vector-valued optimization problems on Banach spaces
نویسندگان
1 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
2 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
doi
10.22075/ijnaa.2024.33443.4986چکیده
In this paper, the class of nonconvex vector-valued optimization problems with inequality constraints is considered. We introduce two constraint qualifications and derive the weak and strong Karush-Kuhn-Tucker type of necessary conditions for a (weakly) efficient solution to the considered problem. All results are given in terms of Dini directional derivative and Clarke subdifferential.
