Qualifications and stationarity for nonsmooth multiobjective problems with switching constraints

نویسندگان
Niknam, Sahar ID 1
Izadi, Zeynab ID 2
Kanzi, Nader ID 3
Naderi Parizi, Maryam ID 4

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

3 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

4 Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

doi
10.22075/ijnaa.2023.31773.4713
چکیده

This paper aims to study a broad class of multiobjective mathematical problems with switching constraints in which all emerging functions are assumed to be locally Lipschitz. First, we are interested in some Abadie, Guignard, and Cottle types qualification conditions for the problem. Then, these constraint qualifications are applied to obtain several stationarity conditions. The results are based on Clarke's subdifferential.

کلیدواژه‌ها
multiobjective optimization, Stationarity conditions, Switching constraints, Constraint qualification, Clarke subdifferential