| 广义不变凸分式规划的Mond-Weir对偶定理 |
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| 引用本文： | 张钟德,刘素蓉.广义不变凸分式规划的Mond-Weir对偶定理[J].松辽学刊,2008,29(4):38-40. |
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| 作者姓名： | 张钟德 刘素蓉 |
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| 作者单位： | 湖南信息职业技术学院 |
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| 摘 要： | 本文对不变凸函数概念推广，引入了一类更为广泛的广义不变凸性概念，并证明了在该类新广义不变凸性条件下，一类非凸非线性分式规划的Mond-Weir对偶的弱对偶、强对偶和逆对偶定理．
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| 关 键 词： | 广义不变凸 非线性分式规划 Mond-Weir对偶 最优解 |
Mmond-Weir Duality Theorems for Generalized InvexityFractional Programming |
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| ZHANG Zhong-de,LIU Su-rong.Mmond-Weir Duality Theorems for Generalized InvexityFractional Programming[J].Songliao Journal (Natural Science Edition),2008,29(4):38-40. |
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| Authors: | ZHANG Zhong-de LIU Su-rong |
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| Institution: | (Hunan College of Information,Changsha 410200, China) |
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| Abstract: | In this paper,a class of new generalized invexity concept is defined on basis of1],and then Mond-Weir duality theorems with the weakduality theorems,strong duality theorem and converse duality theorem are proved under this new generalized invexity condition for a classof nonconvex nonlinear fractional programming. |
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| Keywords: | generalized invexity nonlinear fractional programming Mond-Weir duality theories optimal solution |
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