| 无限凸规划的约束规范条件和Farkas引理 |
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| 引用本文： | 方东辉,王仙云.无限凸规划的约束规范条件和Farkas引理[J].高等学校计算数学学报,2009,31(1). |
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| 作者姓名： | 方东辉 王仙云 |
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| 作者单位： | 吉首大学数学与计算机科学学院,吉首,416000 |
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| 基金项目： | 国家自然科学基金，湖南省教育厅科研项目 |
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| 摘 要： | 假设X是局部凸Hausdorff拓扑向量空间,C是X的闭凸子集,T是一下标集(可以是无限集),假设{ft:t∈T}是一X到R ∪{+∞}的真凸下半连续函数簇,而f:x→R∪{+∞}是一真凸下半连续函数.
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| 关 键 词： | Hausdorff拓扑向量空间 约束规范 凸规划 下半连续函数 引理 最优化问题 闭凸子集 规划问题 |
CONSTRAINT QUALIFICATIONS AND FARKAS LEMMA IN CONVEX INFINITE PROGRAMMING |
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| Fang Donghui,Wang Xianyuan.CONSTRAINT QUALIFICATIONS AND FARKAS LEMMA IN CONVEX INFINITE PROGRAMMING[J].Numerical Mathematics A Journal of Chinese Universities,2009,31(1). |
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| Authors: | Fang Donghui Wang Xianyuan |
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| Institution: | Fang Donghui Wang Xianyuan (School of Mathematics and Computer Sciences,Jishou University,Jishou 416000) |
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| Abstract: | A new constraint qualification,strong CC qulification,for an inequality system defined by an infinite family of proper lower semicontinuous convex functions is introduced and the Farkas' type lemma considered by Dinh et al in1] is established via the new constraint qualification.The strong Lagrange duality theorems and the stability theorem are also provided under the strong CC.Then results of the present paper improve and extend the corresponding ones in1]. |
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| Keywords: | convex inequality system strong CC qualification Farkas' type lemma duality stability |
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