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一类极大极小半无限分式规划的对偶问题 被引量：1

Duality for a Class of Min-Max Semi-infinite Fractional Programming
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摘要 利用极限次微分定义了一类广义一致V-不变凸函数,在新的广义凸函数的约束下,讨论了一类极大极小半无限分式规划的对偶性,得到了弱对偶、强对偶和逆对偶定理. A class of new generalized uniform V-invexity functions is given by using limiting subdifferentials,the duality of the min-max semi-infinite fractional programming are considered under this new generalized invexity functions and the corresponding duality theorems including of some week duality,strong duality and converse duality theorems are given.
作者 冯强 王荣波
机构地区 延安大学数学与计算机科学学院
出处 《内蒙古师范大学学报（自然科学汉文版）》 CAS 北大核心 2012年第4期351-354,共4页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10901128) 陕西省教育厅科研基金(12JK0893) 延安大学科研基金(YD2010-08)
关键词 广义一致V-不变凸函数 极大极小半无限分式规划 对偶性 generalized uniform V-invexity functions min-max semi-infinite fractional programming duality
分类号 O221.2 [理学—运筹学与控制论]
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  • 5Jayswal A, Ahmadb I, Al-Homidanb S. Sufficiency and duality for non smooth multiobjective programming problems involving generalized (F,a ,p,8) -d- V-univex functions[J]. Mathematical and Computer Modelling, 20 11 ,53: 81-90.
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  • 10Liang Z A, Huang H X,Pardalos P M. Optimality conditions and duality for a class of nonlinear fractional programming problems[J].Journal of Optimization Theory and Applications, 2001,110: 611-619.

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内蒙古师范大学学报（自然科学汉文版）
2012年 第4期

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