| 不可微极小极大分式规划问题的二阶对偶 |
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| 引用本文： | 王海军.不可微极小极大分式规划问题的二阶对偶[J].渤海大学学报(自然科学版),2012,33(2):97-100,192. |
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| 作者姓名： | 王海军 |
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| 作者单位： | 北京工业大学应用数理学院,北京,100124 |
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| 基金项目： | 北京工业大学研究生科技基金 |
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| 摘 要： | 引入一种广义二阶凸函数的概念，即二阶（F，d，P，d，P）-uflivex函数，并在（F，d，P，d,p）一univex条件之下考虑了一类不可微极小极大分式规划问题的二阶对偶问题，得到了原问题与对偶问题之间的二阶弱对偶、强对偶和逆对偶定理．
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| 关 键 词： | 极小极大分式规划 二阶(F，d，P，d，P)-uflivex 二阶对偶 最优性条件 |
Second order duality for nondifferentiable minimax fractional programming |
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| WANG Hai-jun.Second order duality for nondifferentiable minimax fractional programming[J].Journal of Bohai University:Natural Science Edition,2012,33(2):97-100,192. |
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| Authors: | WANG Hai-jun |
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| Institution: | WANG Hai-jun(College of Applied Sciences,Beijing University of Technology,Beijing 100124,China) |
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| Abstract: | A class of generalized second order convex function is introduced,which is called second order(F,α,ρ,d,p)-univex function.Under(F,α,ρ,d,p)-univexity assumption,one kind of minimax fractional programming problem is considered.The second order weak,strong and converse duality theorems for the primal problem and its dual problem are obtained. |
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| Keywords: | minimax fractional progTammirig second order (F a p d p ) univex second order duality optimality conditions |
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