On second-order Karush–Kuhn–Tucker optimality conditions for \(C^{1,1}\) vector optimization problems
Optimization Eruditorum, Volume 2, Issue 1, April 2025, Pages 56–69
NGUYEN VAN TUYEN
Department of Mathematics, Hanoi Pedagogical University 2, Xuan Hoa, Phuc Yen, Vinh Phuc, Vietnam
Abstract
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.
Cite this Article as
Nguyen Van Tuyen, On second-order Karush–Kuhn–Tucker optimality conditions for \(C^{1,1}\) vector optimization problems, Optimization Eruditorum, 2(1), 56–69, 2025