| 复值度量空间上具有A-隐式收缩的映射族的不动点与公共不动点 |
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| 引用本文： | 石仁淑,朴勇杰.复值度量空间上具有A-隐式收缩的映射族的不动点与公共不动点[J].吉林大学学报(理学版),2016,54(4):743-747. |
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| 作者姓名： | 石仁淑 朴勇杰 |
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| 作者单位： | 延边大学 理学院, 吉林 延吉 133002 |
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| 摘 要： | 通过在复值度量空间上引进复函数类A并构造收敛序列, 证明了该序列的极限是满足A 隐式收缩条件的映射的唯一不动点, 并给出具有两个复值度量的非空集合上满足A隐式收缩条件的两个映射的公共不动点存在定理.
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| 关 键 词： | 复值度量空间 公共不动点 A-隐式收缩 |
| 收稿时间： | 2015-10-26 |
Fixed Points and Common Fixed Points of Mappings with A-Implicit Contractions on Complex Valued Metric Spaces |
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| SHI Renshu,PIAO Yongjie.Fixed Points and Common Fixed Points of Mappings with A-Implicit Contractions on Complex Valued Metric Spaces[J].Journal of Jilin University: Sci Ed,2016,54(4):743-747. |
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| Authors: | SHI Renshu PIAO Yongjie |
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| Institution: | College of Science, Yanbian University, Yanji 133002, Jilin Province, China |
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| Abstract: | By introducing a class of complex functions A and constructing convergent sequences on complex valued metric spaces, we proved that the limits of the given sequences are the unique fixed point of the mappings satisfying a A implicit contractive condition, and gave the existence theorems of common fixed points for two mappings satisfying a A implicit contractive condition on a nonempty set with two complex valued metrics. |
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| Keywords: | complex valued metric space common fixed point A-implicit contraction |
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