Abadie Type Constraint Qualifications and Optimality Conditions for Nonsmooth Multi-Objective Semi-Infinite Problems

نویسندگان

1 Department of Mathematics‎, ‎Payame Noor University (PNU)‎, P.O‎. ‎Box 19395-4697‎, ‎Tehran‎, ‎Iran‎.

doi
10.30473/coam.2024.72301.1261
چکیده

This paper introduces several Abadie-type constraint qualifications and derives necessary optimality conditions in the Karush-Kuhn-Tucker‎ ‎for both weakly efficient solutions and efficient solutions of a nonsmooth multi-objective semi-infinite programming problem characterized by locally Lipschitz data‎. ‎The findings are expressed in terms of the Micheal-Penot subdifferential‎.