| 弱压缩多值映射在偏序度量空间中的耦合不动点定理 |
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| 引用本文： | 刘改平,邓磊.弱压缩多值映射在偏序度量空间中的耦合不动点定理[J].西南农业大学学报,2011,33(12). |
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| 作者姓名： | 刘改平 邓磊 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(11071198) |
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| 摘 要： | 在偏序完备度量空间中引入弱压缩多值映射的概念,并证明了关于弱压缩多值映射的不动点和耦合不动点的存在性,推广和改进了一些相关的结论.
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| 关 键 词： | 弱压缩多值映射 耦合不动点 偏序完备度量空间 |
Coupled Fixed Point Theorems for Weakly Contractive Multi-valued Mappings in Partially Ordered Metric Spaces |
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| LIU Gai-ping,DENG Lei School of Mathematics , Statistics,Southwest University,Chongqing ,China.Coupled Fixed Point Theorems for Weakly Contractive Multi-valued Mappings in Partially Ordered Metric Spaces[J].Journal of Southwest Agricultural University,2011,33(12). |
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| Authors: | LIU Gai-ping DENG Lei School of Mathematics Statistics Southwest University Chongqing China |
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| Institution: | LIU Gai-ping,DENG Lei School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | In this paper,weakly contractive multi-valued mapping is introduced,and some new fixed point and coupled fixed point theorems for multi-valued mappings are established,which satisfy weakly contractive conditions in a partially ordered complete metric space.Some related results are improved. |
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| Keywords: | weakly contractive multi-valued mapping coupled fixed point partially ordered complete metric space |
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