| Scott连续自映射不动点集的性质研究 |
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| 引用本文： | 张滦云,杨利群. Scott连续自映射不动点集的性质研究[J]. 苏州大学学报(医学版), 2009, 25(3): 16-18 |
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| 作者姓名： | 张滦云 杨利群 |
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| 作者单位： | 淮海工学院,理学院,江苏,连云港,222005 |
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| 基金项目： | 淮海工学院自然科学基金项目 |
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| 摘 要： | 主要研究了一些连续domain上Scott连续自映射的不动点集的性质．证明了若L是双有限domain,f：L→L是一致交换映射，则Fix（f）是双有限domain；提出了连续cpo上不动点集的一个例子；并证明了若L是有界完备domain,f：L→L是稳定映射且max（L）CFix（f），则Fix（f）是L的收缩等性质．
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| 关 键 词： | Scott连续自映射 不动点集 双有限domain 有界完备domain 一致交换映射 稳定映射 |
Study on the properties of the fixed-point sets of Scott continuous mapping |
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| Zhang Luanyun,Yang Liqun. Study on the properties of the fixed-point sets of Scott continuous mapping[J]. Journal of Suzhou University(Natural Science), 2009, 25(3): 16-18 |
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| Authors: | Zhang Luanyun Yang Liqun |
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| Affiliation: | College of Science;Huaihai Institute of Technology;Lianyungang 222005;China |
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| Abstract: | The properties of the fixed-point sets of Scott continuous mapping on some domains are studied, it is proved that if L is a bifinite domain ,f： L→L is an uniform exchange mapping, than Fix （f） is a bifinite domain; it is given an example about the fixed-point sets of Scott continuous cpo ; and it is also proved that if L is a hounded complete domain ,f： L→L is a stable mapping, than Fix （f） is a contraction of L. |
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| Keywords: | Scott continuous mapping fixed point set bifinite domain bounded complete domain uniform exchange mapping stable mapping |
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