| 不可微数学规划的高阶对偶性 |
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| 引用本文： | 陈凌蕙,徐伟.不可微数学规划的高阶对偶性[J].南昌航空工业学院学报,2008,22(4). |
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| 作者姓名： | 陈凌蕙 徐伟 |
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| 作者单位： | 南昌航空大学 |
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| 摘 要： | 文章首先引入了一类不可微数学规划的高阶Mond-Weir对偶模型以及高阶V-不变凸、高阶广义V-不变吐的概念。然后,在ShashiK.Mishra和Norma.G.Rueda所做工作的基础上,对于上述高阶对偶模型建立了高阶V-不变凸条件下的弱埘偶和强对偶理论。最后,进一步在更弱的高阶广义V-不变凸条件下的建立了Mond-Weir型对偶模型的弱对偶和强对偶理论。
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| 关 键 词： | 不可微数学规划 高阶Mond-Weir对偶模型 高阶V-不变凸 高阶广义V-不变吐凸 弱对偶 强对偶 |
Higher-order V-invexity and Higher-order Duality in Non-differentiable Mathematical Programming |
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| CHEN Ling-hui,XU wei.Higher-order V-invexity and Higher-order Duality in Non-differentiable Mathematical Programming[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2008,22(4). |
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| Authors: | CHEN Ling-hui XU wei |
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| Abstract: | In this paper,we introduce a class of Mond-weir higher-order duality in non-differentiable mathematical programming problem and the notions of higher-order V-invexity and higher-order generalized V-invexity. Moreove, based on the researches of Mishra and Rueda.the weak and strong duality theorems are established under higher-order V-invexity assumption. Finally, under the weaker higher-order generalized V-invexity,the weak and strong duality theorems are established. |
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| Keywords: | non-differentiable mathematical programming Mond-weir higher-order duality higher-order V-invexity higher-order generalized V-invexity weak duality strong duality |
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