Set-valued optimization problems via second-order contingent epiderivative

Abstract

In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity assumptions.

Keywords

• convex cone
• set-valued map
• contingent epiderivative
• duality