On second-order Karush–Kuhn–Tucker optimality conditions for $C^{1,1}$ vector optimization problems
Optimization Eruditorum · 2025
This paper focuses on optimality conditions for C 1,1 vector optimization problems with inequality constraints.By employing the limiting second-order subdifferential and the second-order tangent set, we introduce a new type of second-order constraint qualification in the sense of Abadie.Then we establish some second-order necessary optimality conditions of Karush-Kuhn-Tucker-type for local (weak) efficient solutions of the considered problem.In addition, we provide some sufficient conditions for a local efficient solution of the such problem.The obtained results improve existing ones in the literature.