| D-度量空间上一族拟收缩自映射的唯一公共不动点 |
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| 引用本文： | 沈京虎,朴勇杰. D-度量空间上一族拟收缩自映射的唯一公共不动点[J]. 延边大学学报(自然科学版), 2014, 0(1): 8-10,24 |
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| 作者姓名： | 沈京虎 朴勇杰 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 基金项目： | 国家自然科学基金资助项目（11261062）;吉林省教育厅“十二五”科研项目（吉教科合字[2011]第434号） |
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| 摘 要： | 利用D-度量空间上满足某种拟收缩条件的满自映射族{fn}n∈N,构造了具有唯一极限的序列,证明了如果{fn}n∈N满足其他一些条件,则上述唯一极限为{fn}n∈N的唯一公共不动点,并且在D-度量空间上给出了更为一般的一族拟收缩自映射的唯一公共不动点定理.
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| 关 键 词： | D-度量空间 序列 拟收缩条件 公共不动点 完备 |
Unique common fixed points for a family of quasi-contractive self-mappings on D-metric spaces |
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| SHEN Jinghu,PIAO Yongjie. Unique common fixed points for a family of quasi-contractive self-mappings on D-metric spaces[J]. Journal of Yanbian University (Natural Science), 2014, 0(1): 8-10,24 |
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| Authors: | SHEN Jinghu PIAO Yongjie |
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| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China ) |
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| Abstract: | We use a family of surjective self-maps{f n}n∈N satisfying some quasi-contractive condition on D-metric space to construct a sequence which has an unique limit ,and prove that the limit is the unique common fixed point of{fn}n∈N if{fn}n∈N satisfies other some conditions .Furthermore ,we give a more general unique common fixed point theorem for a family of quasi-contractive self-maps on D-metric spaces . |
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| Keywords: | D-metric space sequence quasi-contractive condition common fixed point complete |
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