一类非光滑广义凸多目标规划的最优性条件  

Optimality Conditions for a Class of Nonsmooth Generalized Convex Multiobjective Programming

作　　者：王丽[1] 

机构地区：[1]西安邮电学院应用数理系,陕西西安710061

出　　处：《西南师范大学学报（自然科学版）》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).

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.

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 

分 类 号：O221.2[理学—运筹学与控制论] O221.6[理学—数学]