| 广义凸非光滑规划的Mond-Weir对偶 |
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| 引用本文： | 姚元金.广义凸非光滑规划的Mond-Weir对偶[J].海南师范大学学报(自然科学版),2003,16(3):24-27. |
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| 作者姓名： | 姚元金 |
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| 作者单位： | 吉首大学,数学与计算机科学系,湖南,吉首,416000 |
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| 摘 要： | 建立了非光滑Lipschitz规划的两种Mond-Weir对偶形式,然后利用Clarke广义梯度定义的Lipschitz函数的广义凸性条件,证明了相应的弱对偶、强对偶和严格逆对偶定理,所得结果涵盖并推广了有关已知的对偶性定理.
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| 关 键 词： | 非光滑规划 广义凸性条件 Mond-Weir对偶 最优解 |
| 文章编号： | 1671-8747(2003)03-0024-04 |
| 修稿时间： | 2003年2月13日 |
Mond-Weir duality for generalized convex and nonsmooth programming |
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| YAO Yuan - jin.Mond-Weir duality for generalized convex and nonsmooth programming[J].Journal of Hainan Normal University:Natural Science,2003,16(3):24-27. |
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| Authors: | YAO Yuan - jin |
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| Abstract: | In this paper,two Mond - Weir dual forms for nonsmoth Lipschitz programming are established, and then by means of the generalized convexity conditions for Lipscitz's function defined by Clarke generalized gradient .their duality theorems with the weak duality theorem,strong duality tehorem, strict converse duality theorem are proved.The results cover the known duality theorems concerned. |
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| Keywords: | nonsmooth programming generalized convexity conditions Mond- Wek duality optimal solution |
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