| （F，α，ρ，d）k-V-凸半无限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,董庆来.（F，α，ρ，d）k-V-凸半无限分式规划的最优性条件[J].江西科学,2009,27(1):31-35. |
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| 作者姓名： | 李钰 张庆祥 严建军 董庆来 |
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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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| 摘 要： | 利用局部渐近锥K，定义了（F，α，ρ，d）k-V-仁凸函数、严格（F，α，ρ，d）k-V-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-凸函数 有效解 |
Optimality Conditions for theconvex of Semi-infinite Fractional Programming |
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| LI Yu,ZHANG Qing-xiang,YAN Jian-jun,DONG Qing-lai.Optimality Conditions for theconvex of Semi-infinite Fractional Programming[J].Jiangxi Science,2009,27(1):31-35. |
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| Authors: | LI Yu ZHANG Qing-xiang YAN Jian-jun DONG Qing-lai |
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| Institution: | 1.College of Mathematics and Computer Science;Yan'an University;Shaanxi Yan'an 716000 PRC;2.School of Agriculture and Forestry Project;Yan'an Professional and Technological College;shaanxi Yan'an 716000 PRC |
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| Abstract: | The definitions of several new generalized convex functions are presented in terms of Local cone approximation K, that is, （F,α,ρ,d）k-V-convex function, strictly （F,α,ρ,d）k-V-convex func- tion. And some optimality conditions for a class of nonsmooth semi-infinite vector fractional programming involving these generalized convexities are studied. |
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| Keywords: | Semi-infinite vector fractional programming Optimality conditions （F，α，ρ，d）k-V-convex function Efficient solution |
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