| 非光滑(h,φ)-Dini-凸多目标规划解的充分性与对偶性 |
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| 引用本文： | 康瑞瑞,张庆祥.非光滑(h,φ)-Dini-凸多目标规划解的充分性与对偶性[J].延安大学学报(自然科学版),2010,29(2):28-34. |
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| 作者姓名： | 康瑞瑞 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 |
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| 摘 要： | 利用Ben-Tal广义代数运算,定义了(h,φ)-Dini右上方向导数和(h,φ)-Dini-梯度,提出了几类非光滑非凸函数的概念,在φ是严格递增函数,并且φ(0)=0相当弱的假设下,得到了(h,φ)-Dini-凸多目标规划的最优性条件和几个对偶性结果。
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| 关 键 词： | 非光滑 多目标规划 充分性 对偶性 （h φ）-Dini-凸函数 |
On Sufficiency And Duality of Soulutions for Nonsmooth (h,φ)-Dini Convex Muitiobject Programming |
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| KANG Rui-rui,ZHANG Qing-xiang.On Sufficiency And Duality of Soulutions for Nonsmooth (h,φ)-Dini Convex Muitiobject Programming[J].Journal of Yan'an University(Natural Science Edition),2010,29(2):28-34. |
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| Authors: | KANG Rui-rui ZHANG Qing-xiang |
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| Institution: | (College of Mathematics and Computer Science,Yanan University,Yanan 716000,China) |
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| Abstract: | Several concepts of nonsmooth nonconvex functions are presented by using Ben-Tal＇s algebraic generalized operations and generalized（h,φ）-Dini-gradient.Then some optimality sufficient conditions and duality results for a class of nonsmooth（h,φ）-Dini convex multiobject programming are obtained under the weak assumptions that φ is astrictly increasing continuous function and that φ（0）=0. |
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| Keywords: | nonsmooth multiobject programming sufficiency duality （h φ）-Dini-convex function |
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