| 广义Ⅰ型一致不变凸条件下的极大极小分式规划的二阶对偶 |
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| 引用本文： | 焦合华,刘三阳.广义Ⅰ型一致不变凸条件下的极大极小分式规划的二阶对偶[J].吉林大学学报(理学版),2013,51(4):613-617. |
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| 作者姓名： | 焦合华 刘三阳 |
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| 作者单位： | 1. 西安电子科技大学 理学院, 西安 710071； 2. 长江师范学院 数学与计算机学院, 重庆 408100 |
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| 基金项目： | 国家自然科学基金(批准号:60974082) |
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| 摘 要： | 给出一类新的二阶广义(F,α,ρ,θ)-d-Ⅴ-Ⅰ型一致不变凸的概念, 讨论了极大极小分式规划问题（P）, 建立了规划（P）的一个二阶对偶模型, 并利用此二阶广义Ⅰ型一致不变凸性, 得到了弱对偶、 强对偶和严格逆对偶定理.
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| 关 键 词： | 极大极小规划 分式规划 二阶对偶 广义(F &alpha &rho &theta )-d-Ⅴ-Ⅰ型一致不变凸 |
| 收稿时间： | 2012-12-20 |
Second Order Duality for Minimax Fractional Programmingunder Generalized Type Ⅰ Univexity |
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| JIAO He-hua,LIU San-yang.Second Order Duality for Minimax Fractional Programmingunder Generalized Type Ⅰ Univexity[J].Journal of Jilin University: Sci Ed,2013,51(4):613-617. |
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| Authors: | JIAO He-hua LIU San-yang |
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| Institution: | 1. School of Science, Xidian University, Xi’an 710071, China;2. College of Mathematics and Computer, Yangtze Normal University, Chongqing 408100, China |
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| Abstract: | A new concept of second order generalized (F,α,ρ,θ)-d-Ⅴ-Ⅰ type univexity was introduced, a minimax fractional program ming problem (P) was considered, and a second order dual model of programming (P) was formulated. And weak duality strong duality and strict converse duality theorems were obtained on the basis of this second order generalized type Ⅰ univexity. |
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| Keywords: | minimax programming fractional programming second order duality generalized (F α ρ θ)-d-Ⅴ-Ⅰ type univexity |
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