| 度量凸空间上拟收缩型映射族的唯一公共不动点 |
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| 引用本文： | 朴勇杰.度量凸空间上拟收缩型映射族的唯一公共不动点[J].数学物理学报(A辑),2010,30(2):487-493. |
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| 作者姓名： | 朴勇杰 |
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| 作者单位： | 延边大学数学系,吉林延吉,133002 |
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| 摘 要： | 给出了完备度量凸度量空间上具有拟收缩条件的非自映射族的公共不动点的存在和唯一性定理,并根据该结果得到更一般形式的唯一公共不动点定理.该文的主要结果对文献中的许多同类型的不动点定理进行了改进和一般化.
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| 关 键 词： | 度量凸空间 拟收缩 公共不动点 完备 |
| 收稿时间： | 2008-09-18 |
| 修稿时间： | 2009-10-25 |
Unique Common Fixed Point |for a Family of Quasi-contractive Type Maps in Metrically Convex Spaces |
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| PIAO Yong-Jie.Unique Common Fixed Point |for a Family of Quasi-contractive Type Maps in Metrically Convex Spaces[J].Acta Mathematica Scientia,2010,30(2):487-493. |
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| Authors: | PIAO Yong-Jie |
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| Institution: | Department of Mathematics, Yanbian University, Jilin |Yanji 133002 |
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| Abstract: | Existence and uniqueness theorem on a common fixed point for a family of non-self mappings satisfying a quasi-contractive condition on complete metrically convex metric space is given,and from which,more general unique common fixed point theorems are obtained.The main results generalize and improve many fixed point theorems of the same type in references. |
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| Keywords: | Metrically convex space Quasi-contraction Common fixed point Complete |
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