引进了一种新的切锥, 讨论它与相依切锥的关系. 借助这种新的切锥引进了一类新的二阶组合切导数, 并讨论了它与其他二阶切导数的关系. 利用这类新的二阶组合切导数, 建立了集值优化分别取得Henig有效元和全局有效元的最优性必要条件.

A new kind of tangent cones is introduced, whose relationship to the contingent cone is discussed. With the introduced cones, a new kind of second-order tangent derivatives, termed  second-order composed tangent derivatives, is developed, and its relationship to other second-order composed tangent derivatives is discussed. Then, with the help of second-order composed tangent derivatives, optimality necessary conditions are established respectively for a Henig efficient solution and a globally proper efficient solution of set-valued optimization.