| W-空间上的广义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,姜美兰.W-空间上的广义收缩型映射族的唯一公共不动点[J].东北师大学报(自然科学版),2011,43(3):28-31. |
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| 作者姓名： | 朴勇杰 姜美兰 |
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| 作者单位： | 1. 延边大学理学院数学系,吉林延吉,133002
2. 延边大学附属中学,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(10361005); 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： | 介绍了比度量空间和对称空间更弱的W-空间的概念,并在W-空间上引进了若干个具有广义收缩型条件的映射族,得到了三个具有反交换性的广义收缩型映射族的唯一公共不动点的存在性定理.
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| 关 键 词： | W-空间 反交换映射 交换点 广义收缩型 公共不动点 |
Unique common fixed points for generalized contractive type maps on W-spaces |
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| PIAO Yong-jie,JIANG Mei-lan.Unique common fixed points for generalized contractive type maps on W-spaces[J].Journal of Northeast Normal University (Natural Science Edition),2011,43(3):28-31. |
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| Authors: | PIAO Yong-jie JIANG Mei-lan |
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| Institution: | PIAO Yong-jie1,JIANG Mei-lan2(1.Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China,2.Subsidiary Senior School,China) |
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| Abstract: | The concept of W-spaces,which is weaker than those of metric spaces and symmetric spaces,was introduced,and several maps with generalized contractive type conditions were introduced on W-spaces,and then three existent theorems of unique common fixed point for generalized contractive type maps possessing the converse commuting property were obtained in W-spaces. |
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| Keywords: | W-space converse commuting selfmaps commuting point generalized contractive type common fixed point |
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