| 弱膨胀映射及其不动点定理 |
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| 引用本文： | 何松年.弱膨胀映射及其不动点定理[J].南京大学学报(自然科学版),2006,23(2):334-340. |
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| 作者姓名： | 何松年 |
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| 作者单位： | 中国民航学院理学院 天津 |
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| 基金项目： | 中国民航总局中青年教育研究基金项目资助(01-3-01)． |
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| 摘 要： | B．E．Rhoades在文1]中系统地归纳总结了各种压缩型映射的定义．王尚志等在文2]中对于三种压缩型映射给出了相应的膨胀型映射的定义,并证明了它们的不动点存在定理．本文给出弱膨胀映射的定义,并证明了更一般的不动点存在定理,文2]中三个不动点定理都是它的推论．
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| 关 键 词： | 压缩映射 膨胀映射 弱膨胀映射 不动点 |
| 修稿时间： | 2005年4月21日 |
A FIXED POINT THEOREM ON THE WEAK EXPANSION MAPPING |
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| He Songnian.A FIXED POINT THEOREM ON THE WEAK EXPANSION MAPPING[J].Journal of Nanjing University: Nat Sci Ed,2006,23(2):334-340. |
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| Authors: | He Songnian |
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| Abstract: | B. E. Rhoades summarized the contraction mapping of some types. Wang Shangzhi, and so forth, defined three expansion mappings which correspond three contraction mappings and proved their fixed point theorems. In this paper, the weak expansion mapping is defined and its fixed point theorem is given. It is a general result. The three fixed theorems in 2] are all its corollaries. |
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| Keywords: | contraction mapping expansion mapping weak expansion mapping fixed-point |
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