摘要
首先利用K 方向导数, 给出了一类非光滑广义凸函数和K 稳定点的概念, 并在一定条件下, 讨论了K 稳定点和(弱)有效解之间的关系. 然后讨论了一类非光滑广义凸多目标规划的最优性条件.
In this paper, the definitions of a class nonsmooth generalized convex functions and Kstationary point are presented by means of the concept of Kdirectional derivatives. And under certain assumptions, the relationship between Kstationary point and the (weakly) efficient point are discussed. Furthermore, the optimality conditions of a class of nonsmooth generalized convex multiobjectives programming are researched.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2005年第1期41-46,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
陕西省教育厅专项科研基金资助课题(01JK063).
关键词
K-方向导数
一致Fk-凸函数
非光滑广义凸
多目标规划
最优性条件
Kdirectional derivative
uniform F_Kconvex
nonsmooth generalized convex
multiobjectives programming
optimality condition
