| 一类广义半无限向量分式规划的最优性条件 |
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| 引用本文： | 李钰,张庆祥,严建军,孙明娟.一类广义半无限向量分式规划的最优性条件[J].河南科学,2009,27(2):132-136. |
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| 作者姓名： | 李钰 张庆祥 严建军 孙明娟 |
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| 作者单位： | 1. 延安大学数学与计算机科学学院,陕西延安,716000
2. 延安职业技术学院农林工程分院,陕西延安,716000 |
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| 基金项目： | 陕西省自然科学基金，陕西省教育厅专项基金，延安大学科研基金 |
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| 摘 要： | 利用局部渐近锥K，定义了（F,α,ρ,d）λ-V-伪凸函数、（F,α,ρ,d）λ-V-严格伪凸函数、（F,α,ρ,d）λ-V-拟凸函数、（F,α,ρ,d）λ-V-弱拟凸函数等几类广义凸函数，研究了涉及这些广义凸性的一类非光滑半无限向量分式规划的最优性条件．
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| 关 键 词： | 半无限向量分式规划 最优性条件 (F α ρ d)K-V-伪凸函数 有效解 |
Optimality Conditions for a Class of Generalized Semi-Infinite Vector Fractional Programming |
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| Li Yu,Zhang Qingxiang,Yan Jianjun,Sun Mingjuan.Optimality Conditions for a Class of Generalized Semi-Infinite Vector Fractional Programming[J].Henan Science,2009,27(2):132-136. |
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| Authors: | Li Yu Zhang Qingxiang Yan Jianjun Sun Mingjuan |
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| Institution: | Li Yu1,Zhang Qingxiang1,Yan Jianjun2,Sun Mingjuan1 |
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| Abstract: | The definitions of s everal new generalized convex functions are presented in terms of local cone approximation K,that are,(F,α,ρ,d)K-V-pseudo-convex function,(F,α,ρ,d)K-V-strictly pseudo-convex function,(F,α,ρ,d)K-V-quasi-convex function,(F,α,ρ,d)K-V-weakly quasi-convex function.And some optimality conditions for a class of nonsmooth semi-infinite vector fractional programming involving these generalized convexity are studied. |
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| Keywords: | semi-infinite vector fractional programming optimality conditions (F α ρ d)K-V-pseudo-convex function efficient solution |
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