广义凸非光滑规划的Mond-Weir对偶  

Mond - Weir duality for generalized convex and nonsmooth programming

作　　者：姚元金[1] 

机构地区：[1]吉首大学数学与计算机科学系,湖南吉首416000

出　　处：《海南师范学院学报（自然科学版）》2003年第3期24-27,共4页Journal of Hainan Normal University:Natural Science

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.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.

关 键 词：广义凸非光滑规划 MOND-WEIR对偶 广义凸性条件 弱对偶定理 强对偶定理 严格逆对偶定理 最优解 

分 类 号：O221.2[理学—运筹学与控制论]