Abstract:

With help of properties of generalized secondorder composed contingent epiderivates, an optimality necessary condition of Henig efficient element is established for setvalued optimization. The relationship between a generalized contingent epiderivate and a preinvex function fulfilling the domination property is given. By applying the relationship and properties of a dilating cone, an optimality sufficient condition of Henig efficient element for setvalued optimization is also obtained.

Key words: generalized secondorder composed contingent epiderivate, preinvex function, Henig efficient element