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不可微极小极大分式规划问题的二阶对偶

Second order duality for nondifferentiable minimax fractional programming
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摘要 引入一种广义二阶凸函数的概念,即二阶(F,α,ρ,d,p)-univex函数,并在(F,α,ρ,d,p)-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. A class of generalized second order convex function is introduced, which is called second order ( F,a,p,d,p) - univex function. Under ( F,a,p,d,p) - univexity assumption, one kind of minimax fractional programming problem is considered. The second order weak, vroblem and its dual nroblem are ohtaine, d. strong and converse duality theorems for the primal
作者 王海军
出处 《渤海大学学报(自然科学版)》 CAS 2012年第2期97-100,192,共5页 Journal of Bohai University:Natural Science Edition
基金 北京工业大学研究生科技基金(ykj-2011-4788)
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 minimax fractional progTammirig second order (F,a ,p, d,p ) . univex second order duality optimality conditions
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参考文献8

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