| Frigon不动点定理的推广及其简化证明 |
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| 引用本文： | 刘小燕,方锦暄.Frigon不动点定理的推广及其简化证明[J].数学学报,2007,50(5):1087-109. |
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| 作者姓名： | 刘小燕 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，南京师范大学数学与计算机科学学院 南京 210097，南京 210097 |
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| 基金项目： | 江苏省教育厅自然科学基金(04KJB110061) |
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| 摘 要： | 2000年,Frigon在完备的度规空间中建立了一个广义压缩的不动点定理.本文推广了这一定理,给出其简洁的证明,并对Frigon提出的关于广义压缩迭代序列收敛性的公开问题给出一个肯定的回答.
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| 关 键 词： | 度规空间 广义压缩 不动点 |
| 文章编号： | 0583-1431（2007）05-1087-06 |
| 收稿时间： | 2005-7-21 |
| 修稿时间： | 2005-07-21 |
An Extension of Frigon's Fixed Point Theorem and Its Simplifyied Proof |
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| Xiao Yan LIU ,Jin Xuan FANG.An Extension of Frigon''s Fixed Point Theorem and Its Simplifyied Proof[J].Acta Mathematica Sinica,2007,50(5):1087-109. |
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| Authors: | Xiao Yan LIU Jin Xuan FANG |
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| Institution: | School of Mathematics and Computer Science, Nanjing Normal University,Nanjing 210097, P. R. China |
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| Abstract: | In 2000,Frigon established a fixed point theorem for generalized contraction in a complete gauge space.The purpose of this paper is to generalize this theorem and to give its straightforward proof.At the same time,we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is brought forward by Frigon. |
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| Keywords: | gauge space generalized contraction fixed point |
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