| 扩张映射与非压缩映射不动点定理 |
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| 引用本文： | 吴翠兰,王云杰.扩张映射与非压缩映射不动点定理[J].安庆师范学院学报(自然科学版),2010,16(4):17-18,39. |
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| 作者姓名： | 吴翠兰 王云杰 |
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| 作者单位： | 徐州师范大学数学科学学院,江苏,徐州,221116;徐州师范大学科文学院,江苏,徐州,221116 |
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| 基金项目： | 徐州师范大学校自然科学基金(XLB02,KLB03)资助 |
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| 摘 要： | 为了完善和发展不动点定理及其应用,本文给出了扩张映射与非压缩映射的概念,并利用Banach压缩原理证明了扩张映射不动点定理及非压缩映射不动点定理。
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| 关 键 词： | 扩张映射 非压缩映射 Banach压缩原理 不动点定理 |
The Fixed-Point Theorems for Expansive and Non-contractive Mappings |
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| WU Cui-lan,WANG Yun-jie.The Fixed-Point Theorems for Expansive and Non-contractive Mappings[J].Journal of Anqing Teachers College(Natural Science Edition),2010,16(4):17-18,39. |
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| Authors: | WU Cui-lan WANG Yun-jie |
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| Institution: | WU Cui-lan1,WANG Yun-jie2(1.School of Mathematical Science,2.Kewen Institute of Xuzhou Normal University,Xuzhou 221116,China) |
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| Abstract: | In order to develop and improve the fixed-point theorems in metric spaces and extend their applications,some new fixed-point theorems are presented for expansive and non-contractive mappings by using Banach contraction principle in this paper. |
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| Keywords: | expansive map non-contractive mappings Banach contraction principle fixed-point theorem |
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