| 度量空间上具有变系数的收缩条件的两个集值映射的公共不动点 |
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| 引用本文： | 严今石,朴勇杰.度量空间上具有变系数的收缩条件的两个集值映射的公共不动点[J].数学物理学报(A辑),2014,34(3):700-707. |
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| 作者姓名： | 严今石 朴勇杰 |
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| 作者单位： | 延边教育出版社 吉林 延吉 |133001；延边大学理学院数学系 吉林 延吉 133002 |
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| 基金项目： | 国家自然科学基金(11361064, 11261062)和 吉林省教育厅科研项目(吉教科合字[2011]第434号) 资助 |
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| 摘 要： | 在完备的度量空间上利用满足具有某种变系数的收缩条件或φ-收缩条件的两个集值映射构造了一个收敛序列,然后证明了该序列的唯一极限就是两个映射的公共不动点并给出了映射族存在唯一公共不动点的充分条件,同时给出了几个特殊结果.所得结果推广和改进了一些已有的结论.
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| 关 键 词： | Hausdorff度量 收缩条件 公共不动点 类φ 完备. |
| 收稿时间： | 2012-10-08 |
| 修稿时间： | 2014-04-06 |
Common Fixed Points for a Pare of Mappings Satisfying Contractive Conditions with Variable Coefficients|on Metric Spaces |
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| YAN Jin-Shi,PIAO Yong-Jie.Common Fixed Points for a Pare of Mappings Satisfying Contractive Conditions with Variable Coefficients|on Metric Spaces[J].Acta Mathematica Scientia,2014,34(3):700-707. |
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| Authors: | YAN Jin-Shi PIAO Yong-Jie |
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| Institution: | Yanbian Education Publishing Company, Jilin |Yanji 133001； Department of Mathematics, College of Science, Yanbian University, Jilin |Yanji 133002 |
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| Abstract: | In this paper, we use a pare of mappings satisfying contractive condition with some variable coefficients or Φ-contractive condition to construct a convergent sequence, and prove that the unique limit of the sequence is the common fixed point of the two mappings and give sufficient conditions that the pare of mappings have an unique common fixed point, and then give several particular conclusions. The obtained results in this paper generalize and improve some known results. |
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| Keywords: | Hausdorff metriczz Contractive conditionzz Common fixed pointzz Class &Phi zz Completezz |
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