| 两个严格压缩条件下的公共不动点定理的注记 |
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| 引用本文： | 李莉,方锦暄.两个严格压缩条件下的公共不动点定理的注记[J].南京师大学报,2007,30(2):11-14. |
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| 作者姓名： | 李莉 方锦暄 |
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| 作者单位： | 南京师范大学数学与计算机科学学院,江苏南京210097 |
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| 基金项目： | 江苏省教育厅自然科学基金 |
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| 摘 要： | 本文通过一个反例指出, R. P. Pant和V. Pant给出的两个在严格压缩条件下的不相容映射的公共不动点定理是不正确的.同时, 修正了这两个定理,得到两个新的不相容映射的公共不动点定理.
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| 关 键 词： | 公共不动点 严格压缩条件 不相容映射 点式R-弱交换性 common fixed points strict contractive conditions noncompatible mappings pointwise R-weak commutativity 压缩条件 公共不动点定理 注记 Conditions Strict Common Fixed Point Theorems common fixed point theorems time counter example strict conditions paper 两个定理 修正 相容映射 Pant |
| 文章编号： | 1001-4616（2007）02-0011-04 |
| 收稿时间： | 2006-08-28 |
| 修稿时间： | 2006-08-282006-11-11 |
Note on Two Common Fixed Point Theorems Under Strict Contractive Conditions |
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| Li Li,Fang Jinxuan.Note on Two Common Fixed Point Theorems Under Strict Contractive Conditions[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(2):11-14. |
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| Authors: | Li Li Fang Jinxuan |
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| Institution: | School of Mathematics and Computer Sciences, Nanjing Normal University, Nanjing 210097, China |
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| Abstract: | In this paper, we point out that two common fixed point theorems of non-compatible mappings under strict contractive conditions given by R. P. Pant and V. Pant are incorrect by a counter example. At the same time, we correct these two theorems, and get two new common fixed point theorems of non-compatible mappings. |
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| Keywords: | common fixed points strict contractive conditions noncompatible mappings pointwise R -weak commutativity |
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