| 拓扑线性空间中的Drop定理和Phelps引理以及Ekeland变分原理 |
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| 引用本文： | 贺飞,刘德.拓扑线性空间中的Drop定理和Phelps引理以及Ekeland变分原理[J].数学年刊A辑(中文版),2006(4). |
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| 作者姓名： | 贺飞 刘德 |
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| 作者单位： | 内蒙古大学理工学院数学系，内蒙古大学理工学院数学系 呼和浩特 010021，呼和浩特 010021 |
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| 摘 要： | 将Phelps引理, Ekeland变分原理, Pareto有效性定理推广到拓扑线性空间,同时证明了这三个定理与郑喜印证明的拓扑线性空间中的Drop定理彼此等价．
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| 关 键 词： | 拓扑线性空间 Drop定理 Phelps引理 Ekeland变分原理 Pareto有效性定理 |
Drop Theorem and Phelps' Lemma and Ekeland' Principle in Topological Linear Spaces |
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| HE Fei LIU De.Drop Theorem and Phelps' Lemma and Ekeland' Principle in Topological Linear Spaces[J].Chinese Annals of Mathematics,2006(4). |
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| Authors: | HE Fei LIU De |
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| Institution: | HE Fei LIU De Department of Mathematics,College of Sciences and Technology,Inner Mongolia University,Hohhot 010021,China. |
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| Abstract: | In this paper, Phelps'lemma, Ekeland's Principle and Pareto efficiency theorem are generalized to topological linear spaces. Moreover, these theorems are equivalent with Drop theorem proved by Zheng Xiyin in topological linear spaces. |
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| Keywords: | Topological linear spaces Drop theorem Phelps' lemma Ekeland's Principle Pareto efficiency theorem |
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