| Ekeland变分原理的推广及Caristi不动点定理在半度量空间的推广形式 |
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| 引用本文： | 宋和平,李丽华,苏永福.Ekeland变分原理的推广及Caristi不动点定理在半度量空间的推广形式[J].数学理论与应用,2003,23(2):88-90. |
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| 作者姓名： | 宋和平 李丽华 苏永福 |
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| 作者单位： | 河北职业技术师范学院数理系，秦皇岛，066004 |
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| 摘 要： | 本证明了半度量空间中的Ekeland变分原理及Caristic不动点定理．进而证明了半度量空间中的压缩映像原理。
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| 关 键 词： | Ekeland变分原理 Caristi不动点定理 半度量空间 推广形式 三角结构 完备度量空间 压缩映像 |
The Ekeland's variational principle and caristis fixed point theorem in semi-metric space |
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| Song Heping Li Lihuo Su Yongfu.The Ekeland''''s variational principle and caristis fixed point theorem in semi-metric space[J].Mathematical Theory and Applications,2003,23(2):88-90. |
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| Authors: | Song Heping Li Lihuo Su Yongfu |
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| Abstract: | In this paper,the Ekeland's variational principle and Caristic's fixed point theorem was proved.Therefore,the Contraction mapping principle in semi-metric space has been proved. |
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| Keywords: | Semi-metric Variational principle Fixed point theorem |
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