| 局部凸空间中的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,罗成.局部凸空间中的Drop定理和Phelps引理以及Ekeland变分原理[J].数学学报,2006,49(5):1145-115. |
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| 作者姓名： | 贺飞 刘德 罗成 |
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| 作者单位： | 内蒙古大学理工学院数学系,呼孝浩待010021 |
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| 基金项目： | 内蒙古自治区自然科学基金资助项目（200308020101） |
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| 摘 要： | 本文将Drop定理,Phelps引理,Ekeland变分原理和基于Isac的Pareto有效性定理推广到局部完备的局部凸Hausdorff空间,而且证明了它们彼此是等价的．
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| 关 键 词： | Drop定理 Phelps引理 Ekeland变分原理 |
| 文章编号： | 0583-1431（2006）05-1145-08 |
| 收稿时间： | 2004-10-12 |
| 修稿时间： | 2004-10-122005-06-30 |
Drop Theorem and Phelps' Lemma and Ekeland's Principle in Locally Complete Locally Convex Hausdorff Spaces |
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| Fei HE ,De LIU ,Cheng LUO.Drop Theorem and Phelps'' Lemma and Ekeland''s Principle in Locally Complete Locally Convex Hausdorff Spaces[J].Acta Mathematica Sinica,2006,49(5):1145-115. |
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| Authors: | Fei HE De LIU Cheng LUO |
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| Institution: | Department of Mathematics, College of Science and Technology, Inner Mongolia University, Hohhot 010021, P. R. China |
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| Abstract: | In this paper, Drop theorem, Phelps' lemma, Ekeland's principle and Pareto efficiency theorem due to Isac are generalized to locally complete locally convex Hausdorff spaces. And the equivalence of these theorems is proved. |
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| Keywords: | Drop theorem Phelps' lemma Ekeland's principle |
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