Second-order efficient optimality conditions for set-valued vector optimization in terms of asymptotic contingent epiderivatives

We propose a generalized second-order asymptotic contingent epiderivative of set-valued mapping, study its properties, as well relations to some epiderivatives, and sufficient conditions for existence. Then, using these we investigate optimization problems with inequality constraints. Both necessary optimality the Karush–Kuhn–Tucker type are established under constraint qualification. An application Mond–Weir Wolfe duality schemes is also presented. Some remarks examples provided illustrate our results.