| 混合单调算子耦合不动点的迭代求法及其应用 |
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| 引用本文： | 邢慧.混合单调算子耦合不动点的迭代求法及其应用[J].山西大同大学学报（自然科学版）,2008,24(4):1-3. |
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| 作者姓名： | 邢慧 |
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| 作者单位： | 徐州师范大学数学科学学院,江苏徐州221116 |
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| 摘 要： | 设E是半序Banach空间,本文在空间CI,E]中利用锥理论和单调迭代技巧,给出了混合单调算子最小最大耦合不动点存在性定理及其迭代求法.
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| 关 键 词： | 半序Banach空间 混合单调算子 耦合不动点 迭代方法 |
Coupled Fixed Point of Mixed Monotone Multivalued Operators and Its Applications |
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| XING Hui.Coupled Fixed Point of Mixed Monotone Multivalued Operators and Its Applications[J].Journal of Shanxi Datong University(Natural Science Edition),2008,24(4):1-3. |
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| Authors: | XING Hui |
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| Institution: | XING Hui (School of Mathematical Science, Xuzhou Normal University, Xuzhou Jiangsu, 221116) |
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| Abstract: | Letting E be a Banach space, some new theorems of fixed points for mixed monotone operators in C I,E] are obtained by using the cone theory and monotone iterative technique. The existence and iterative method of maximal and minimal coupled fixed points for a kind of mixed monotone operators are given. |
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| Keywords: | partial order Banach spaces mixed monotone muhivalued operators coupled fixed points iterative technique |
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