Upper Level Qualifications and Optimality in Multiobjective Convex Generalized Semi-Infinite Problems

Nader kanzi, Golnaz Edalat, Marjan Adib

Abstract


In this paper we consider the multi-objective generalizedsemi-infinite optimization problems with nondifferentiable convex data,whereas Soroush (Journal of Mathematical Extension 16(9): 1-14, 2022)investigated them in single-objective case. We introduce some upperlevelqualification conditions for the problems, and based on these qualifications,we demonstrate some first-order necessary optimality conditionsat weakly efficient and efficient solutions of the considered problem.

Keywords


Multiobjective GSIP; Constraint qualification; Necessary condition; Convex Subdifferential

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