| Caristi 不动点定理的推广及应用 |
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| 引用本文： | 孙金丽,孙经先.Caristi 不动点定理的推广及应用[J].数学研究及应用,2006,26(2):199-206. |
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| 作者姓名： | 孙金丽 孙经先 |
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| 作者单位： | 1. 南京师范大学数学与计算机科学学院,江苏,南京,210097
2. 徐州师范大学数学系,江苏,徐州,221116 |
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| 基金项目： | Tianyuan Young Mathematics of China under Grant (10526025)
Science Foundation of Nanjing Normal University under Grant(2002SXXXGQ2B20) |
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| 摘 要： | 本文推广了古典的Garisti不动点定理,作为应用,古典的Ekeland变分原理得到了推广,并且证明了推广的Garisti不动点定理和推广的Ekeland变分原理是等价的．
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| 关 键 词： | 不动点定理 Zorn引理 序集一般原理 变分原理 |
| 文章编号： | 1000-341X(2006)02-0199-08 |
| 收稿时间： | 08 25 2004 12:00AM |
| 修稿时间： | 2004年8月25日 |
A Generalization of Caristi's Fixed Point Theorem and Its Applications |
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| SUN Jin-li and SUN Jing-xian.A Generalization of Caristi''s Fixed Point Theorem and Its Applications[J].Journal of Mathematical Research with Applications,2006,26(2):199-206. |
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| Authors: | SUN Jin-li and SUN Jing-xian |
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| Institution: | School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China;Department of Mathematics, Xuzhou Normal University, Jiangsu 221116, China |
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| Abstract: | The paper generalizes the classical Caristi's fixed point theorem. As an application, the classical Ekeland variational principle is generalized. In addition, it is proved that the generalized Caristi's fixed point theorem is equivalent to the generalized Ekeland variational principle. |
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| Keywords: | fixed point theorem Zorn's lemma general principle on ordered set variational principle |
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