| 广义Ekeland变分原理与泛函的强制性 |
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| 引用本文： | 熊彦. 广义Ekeland变分原理与泛函的强制性[J]. 江汉大学学报(自然科学版), 2011, 39(1): 15-16 |
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| 作者姓名： | 熊彦 |
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| 作者单位： | 佛山科学技术学院,理学院,广东,佛山,528000 |
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| 基金项目： | 广东省高校优秀青年创新人才培育项目(LYM08101); 佛山科学技术学院重点项目 |
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| 摘 要： | 利用一个广义Ekeland变分原理证明Banach空间上连续可微泛函的一个性质,进而,推广了泛函的强制性与(ps)条件之间的关系,改进了Tomonari Suzuki已获得的结果.
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| 关 键 词： | 广义Ekeland变分原理 Palais-Smale条件 强制性 |
A Generalized Ekeland's Variational Principle and Coerciveness of Functional |
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| XIONG Yan. A Generalized Ekeland's Variational Principle and Coerciveness of Functional[J]. Journal of Jianghan University(Natural Sciences), 2011, 39(1): 15-16 |
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| Authors: | XIONG Yan |
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| Affiliation: | XIONG Yan(School of Sciences,Foshan Univeristy,Foshan 528000,Guangdong,China) |
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| Abstract: | A property of Frechet differentiable functional on Banach space is proved with a generalized Ekeland's variational principle,which can be applied to generalize the relationship between coerciveness of functional and Palais-Smale condition,improves the results of Suzuki TOMONARI. |
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| Keywords: | generalized Ekeland's variational principle Palais-Smale condition coerciveness |
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