| 一类不可微凸多目标规划解的最优性充分条件 |
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| 引用本文： | 姜艳,张庆祥.一类不可微凸多目标规划解的最优性充分条件[J].延安大学学报(自然科学版),2010,29(1):17-21. |
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| 作者姓名： | 姜艳 张庆祥 |
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| 作者单位： | 延安大学,数学与计算机科学学院,陕西,延安,716000 |
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| 基金项目： | 陕西省教育厅专项科研基金资助 |
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| 摘 要： | 利用C larke广义梯度,广义次微分将B-凸函数进行推广,给出了正则Lipschitz B-凸等函数的概念,在此基础上我们得到了一类不可微凸多目标规划解的最优性充分条件。
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| 关 键 词： | 多目标规划 最优性充分条件 正则LipschitzB-凸函数 正则LipschitzB-不变凸函数 |
Sufficient Optimality Conditions for a Class of Nondifferentiable Convex Multiobjective Programming |
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| JIANG YAN,ZHANG Qing-Xiang.Sufficient Optimality Conditions for a Class of Nondifferentiable Convex Multiobjective Programming[J].Journal of Yan'an University(Natural Science Edition),2010,29(1):17-21. |
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| Authors: | JIANG YAN ZHANG Qing-Xiang |
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| Institution: | JIANG YAN,ZHANG Qing-Xiang (College of Mathematics , Computer Science,Yanan University,Yanan 716000,China) |
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| Abstract: | B-vex functions are extended by using the Clarke generalized gradient,generalized sub-differentiable.The definition of the regular Lipschitz B-vex functions are given.Under the above generalized convexity assumption,sufficient optimality conditions for nondifferentiable multiobjective programming are obtained. |
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| Keywords: | multiobjective programming sufficient optimality conditions regular Lipschitz B-vex function regular Lipschitz B-Invex function |
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