| 局部凸空间中的Drop定理,Phelps引理和Ekeland变分原理的推广 |
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| 引用本文： | 贺飞,刘德,罗成.局部凸空间中的Drop定理,Phelps引理和Ekeland变分原理的推广[J].数学进展,2007,36(5):593-598. |
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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,呼和浩特,内蒙古,010021 |
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| 摘 要： | 在局部凸空间框架下,我们利用Drop定理,Phelps引理和Ekeland变分原理的赋范线性空间的形式对其分别进行了推广.并且阐述了这些定理之间以及和它们赋范线性空间的形式之间是等价的.
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| 关 键 词： | 局部凸空间 Drop定理 Phelps引理 Ekeland变分原理 |
| 文章编号： | 1000-0917（2007）05-0593-06 |
| 修稿时间： | 2005-11-17 |
Generalizations of Drop Theorem, Phelps' Lemma and Ekeland's Principle in Locally Convex Spaces |
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| HE Fei,LIU De,LUO Cheng.Generalizations of Drop Theorem, Phelps'''' Lemma and Ekeland''''s Principle in Locally Convex Spaces[J].Advances in Mathematics,2007,36(5):593-598. |
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| Authors: | HE Fei LIU De LUO Cheng |
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| Institution: | Department of Mathematics, College of Sciences and Technology, Inner Mongolia University, hohhot, Inner Mongolia, 010021, P. R. China |
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| Abstract: | In locally convex spaces,we extend drop theorem,Phelps' lemma and Eke- land's principle by using their own normed linear spaces versions.Moreover we show that these theorems are equivalent to each other and to their normed linear spaces counterparts. |
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| Keywords: | locally convex spaces drop theorem Phelps' lemma Ekeland's principle |
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