Strong second-order Karush–Kuhn–Tucker optimality conditions for vector optimization
Nguyễn Văn Tuyên, Nguyễn Quang Huy, Do Sang Kim · Applicable Analysis · 2018
In the present paper, we focus on the vector optimization problems with inequality constraints, where objective functions and constrained functions are vector-valued functions with C1,1 components defined on Rn. By using the second-order symmetric subdifferential and the second-order tangent set, we propose two types of second-order regularity conditions in the sense of Abadie. Then we establish some strong second-order Karush–Kuhn–Tucker necessary optimality conditions for Geoffrion properly efficient solutions of the considered problem. Examples are given to illustrate the obtained results.