| 半序度量空间中一类混合单调算子的耦合不动点 |
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| 引用本文： | 许绍元. 半序度量空间中一类混合单调算子的耦合不动点[J]. 赣南师范学院学报, 2007, 28(3): 4-7 |
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| 作者姓名： | 许绍元 |
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| 作者单位： | 赣南师范学院,数学与计算机科学学院,江西,赣州,341000 |
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| 基金项目： | 江西省自然科学基金 , 江西省教育厅科研项目 |
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| 摘 要： | 在半序度量空间中讨论一类满足两点拉伸型条件的混合单调算子,得到了耦合不动点的存在性.
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| 关 键 词： | 泛函与半序 完备度量空间 混合单调算子 耦合不动点 两点拉伸型条件 |
| 文章编号： | 1004-8332（2007）03-0004-04 |
| 收稿时间： | 2007-02-01 |
| 修稿时间： | 2007-02-01 |
The Coupled Fixed Points of a Class of Mixed Monotone Operators in Ordered Metric Spaces |
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| XU Shao-yuan. The Coupled Fixed Points of a Class of Mixed Monotone Operators in Ordered Metric Spaces[J]. Journal of Gannan Teachers' College(Social Science(2)), 2007, 28(3): 4-7 |
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| Authors: | XU Shao-yuan |
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| Affiliation: | School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China |
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| Abstract: | In this paper, a class of mixed monotone operator in ordered metric spaces is discussed. Under the two-point expansion condition these operators are shown to possess coupled fixed points. |
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| Keywords: | functional and semi-order complete metric space mixed monotone operator coupled fixed point two-point expansion condition. |
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