借助广义二阶切上图导数性质建立集值优化问题取得Henig有效元的必要条件,给出了广义切上图导数与满足控制性质的预不变凸函数间的关系,并利用此关系和扩张锥的性质得到了集值优化问题取得Henig有效元的充分条件.%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.
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