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Strong second-order Karush–Kuhn–Tucker optimality conditions for vector optimization

ABSTRACT 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 components defined on . 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.