| 一类非光滑广义凸多目标规划的最优性条件 |
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| 引用本文： | 王丽. 一类非光滑广义凸多目标规划的最优性条件[J]. 西南师范大学学报(自然科学版), 2005, 30(1): 41-46 |
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| 作者姓名： | 王丽 |
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| 作者单位： | 西安邮电学院,应用数理系,陕西,西安,710061 |
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| 基金项目： | 陕西省教育厅专项科研基金资助课题(01JK063). |
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| 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.
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| 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 |
| 文章编号： | 1000-5471(2005)01-0041-06 |
| 收稿时间： | 2004-01-09 |
| 修稿时间： | 2004-01-09 |
Optimality Conditions for a Class of Nonsmooth Generalized Convex Multiobjective Programming |
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| WANG LiDept. of Mathematics and Physics,Xi'an Intitute of Posts and Telecommunications,Xi'an Shanxi ,China. Optimality Conditions for a Class of Nonsmooth Generalized Convex Multiobjective Programming[J]. Journal of southwest china normal university(natural science edition), 2005, 30(1): 41-46 |
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| Authors: | WANG LiDept. of Mathematics Physics Xi'an Intitute of Posts Telecommunications Xi'an Shanxi China |
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| Affiliation: | WANG LiDept. of Mathematics and Physics,Xi'an Intitute of Posts and Telecommunications,Xi'an Shanxi 710061,China |
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| Abstract: | 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. |
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| Keywords: | Kdirectional derivative uniform F_Kconvex nonsmooth generalized convex multiobjectives programming optimality condition |
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