| 集值形式的Ekeland变分原理 |
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| 引用本文： | 庞伟,冯瑜.集值形式的Ekeland变分原理[J].玉林师范学院学报,2011,32(2):24-28. |
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| 作者姓名： | 庞伟 冯瑜 |
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| 作者单位： | 玉林师范学院数学与信息科学学院,广西玉林,537000 |
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| 摘 要： | 通过给出集值映射的（e,C）-下半连续和C-下有界定义,利用Gerstewitz泛函,将一般集值映射与实集值函数联系起来,获得了关于（e,C）-下半连续C-下有界集值映射的Ekeland变分原理.这个变分原理是现有许多形式的Ekeland变分原理的推广.
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| 关 键 词： | （e C）-半连续性 Gerstewitz泛函 集值Ekeland变分原理 |
The Variation Principle in Set Occurrence |
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| PANG Wei,FENG Yu.The Variation Principle in Set Occurrence[J].Journal of Yulin Teachers College,2011,32(2):24-28. |
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| Authors: | PANG Wei FENG Yu |
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| Institution: | PANG Wei,FENG Yu(Dept.of Maths and Computer Science,Yulin Normal University,Yulin,Guangxi 537000) |
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| Abstract: | This paper is first to put forward the lower semi-continuous value and lower bounded definition of set-valued mapping and then comes to a Ekeland variation principle on(e,C)-lower semi-continuous C-lower bounded set-valued mapping by combining the general set-valued mapping together with the real set-valued function while applying Gerstewitz functional.This principle is the expansion of the current Ekeland principles. |
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| Keywords: | (e C)-semi-continuousness Gerstewitz functional the Ekeland variation principle in set occurrence |
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