| 半序度量空间中单调映射的不动点定理及混合单调映射的耦合不动点定理 |
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| 引用本文： | 张宪.半序度量空间中单调映射的不动点定理及混合单调映射的耦合不动点定理[J].数学学报,2001,44(4):641-646. |
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| 作者姓名： | 张宪 |
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| 作者单位： | 集美大学师范学院数学系 |
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| 摘 要： | 本文在度量空间中引入半序，证明了半序度量空间中单调增加映射的不动点定理及混合单调映射的耦合不动点定理．
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| 关 键 词： | 半序度量空间 单调映射 混合单调映射 不动点 耦合不动点 |
| 文章编号： | 0583-1431(2001)04-0641-06 |
| 修稿时间： | 2000年1月25日 |
Fixed Point Theorems of Monotone Mappings and Coupled Fixed Point Theorems of Mired Monotone Mappings in Ordered Metric Spaces |
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| ZHANG Xian.Fixed Point Theorems of Monotone Mappings and Coupled Fixed Point Theorems of Mired Monotone Mappings in Ordered Metric Spaces[J].Acta Mathematica Sinica,2001,44(4):641-646. |
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| Authors: | ZHANG Xian |
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| Institution: | ZHANG Xian (Department of Mathematics, Teachers College, Jimei University, Xiamen 361021, P. R. China) |
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| Abstract: | A partial ordering is defined in metric space. Some fixed point theorems of monotone mappings and coupled fixed point theorems of mixed monotone mappings are peoved. |
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| Keywords: | Ordered metric space Monotone mapping Mined monotone mapping Fixed point Coupled ford point |
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