| 2-度量空间上具有隐式收缩条件的2个映射的唯一公共不动点 |
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| 引用本文： | 朴勇杰,沈京虎. 2-度量空间上具有隐式收缩条件的2个映射的唯一公共不动点[J]. 延边大学学报(自然科学版), 2012, 0(3): 173-176 |
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| 作者姓名： | 朴勇杰 沈京虎 |
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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： | 吉林省教育厅科研项目（吉教科合字[2011]第434号） |
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| 摘 要： | 通过引进1类新的函数类并建立1个隐式收缩条件,证明了满足某种条件的2个映射存在唯一公共不动点的定理,同时给出了若干推论.所得结果推广和改进了文献[3-9]的一些结果.
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| 关 键 词： | 函数类F 隐式收缩条件 重合点 公共不动点 不动点 |
Unique common fixed points for two mappings with implicit contractive condition on 2-metric spaces |
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| PIAO Yong-jie,SHEN Jing-hu. Unique common fixed points for two mappings with implicit contractive condition on 2-metric spaces[J]. Journal of Yanbian University (Natural Science), 2012, 0(3): 173-176 |
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| Authors: | PIAO Yong-jie SHEN Jing-hu |
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| Affiliation: | (Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China) |
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| Abstract: | A class of functions is introduced and an implicit contractive condition is considered,then the existent theorems of unique common fixed point for two mappings satisfying some conditions are proved and some their corollaries are given.The obtained results generalize and improve some known conclusions in references . |
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| Keywords: | class of functions implicit contractive condition coincident point common fixed point fixed point |
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