Higher order optimality conditions for Henig efficient solutions in set-valued optimization ✩

In this paper, higher order generalized contingent epiderivative and higher order generalized adjacent epiderivative of set-valued maps are introduced. Necessary and sufficient conditions for Henig efficient solutions to a constrained set-valued optimization problem are given by employing the higher order generalized epiderivatives. © 2005 Elsevier Inc. All rights reserved