| 2-度量空间上具有唯一公共不动点的映射族的收缩型条件 |
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| 引用本文： | 严今石,朴勇杰,崔海兰.2-度量空间上具有唯一公共不动点的映射族的收缩型条件[J].延边大学理工学报,2012(1):17-19. |
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| 作者姓名： | 严今石 朴勇杰 崔海兰 |
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| 作者单位： | [1]延边教育出版社,吉林延吉133000 [2]延边大学理学院数学系,吉林延吉133002 [3]吉林市朝鲜族中学,吉林132021 |
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| 基金项目： | 吉林省教育厅“十二五”科学技术研究项目（吉教科字号第2011[434]） |
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| 摘 要： | 利用新的收缩型条件,给出了完备的2-度量空间（X,d）上的自映射族{Ti}i∈N具有唯一公共不动点的定理.该结果推广和改进了很多2-度量空间上的收缩型映射族的唯一公共不动点定理.
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| 关 键 词： | 2-度量空间 柯西序列 收缩条件 公共不动点 |
A contractive condition of mappings having an unique common fixed point on 2-metric spaces |
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| YAN Jin-shi,PIAO Yong-jie,CUI Hai-lan.A contractive condition of mappings having an unique common fixed point on 2-metric spaces[J].Journal of Yanbian University (Natural Science),2012(1):17-19. |
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| Authors: | YAN Jin-shi PIAO Yong-jie CUI Hai-lan |
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| Affiliation: | 1.Yanbian Education Publishing Company,Yanji 133000,China;2.Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China;3.Jilin Korean Nationality Middle School,Jilin 132021,China) |
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| Abstract: | A new contractive condition is considered,and an unique common fixed point theorem for self-mappings {Ti}i∈N on a 2-metric space（X,d） is given.The result generalizes and improves many unique common fixed point theorem for mappings with contractive conditions on 2-metric spaces. |
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| Keywords: | 2-metric space Cauchy sequence contractive condition unique common fixed point |
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