关键词: 超有效解, 广义m阶C方向邻接导数, 集值优化

Abstract:

In normed linear spaces, the super efficient solutions of set-valued optimization were investigated with generalized higherorder conedirected adjacent derivatives. Under the assumption of near conesubconvexlikeness, with the help of separate theorem for convex sets and the properties of Henig
dilating cone, the type of Fritz John necessary optimality condition was established for setvalued optimization problem to obtain its super efficient elements.

Key words: super efficient solution, conedirected mth-order generalized adjacent derivative, setvalued optimization