| 一个关于紧映射序列极限的不动点定理 |
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| 引用本文： | 李浩,伍鹏程,杨丛丽. 一个关于紧映射序列极限的不动点定理[J]. 贵州师范大学学报(自然科学版), 2007, 25(1): 74-76 |
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| 作者姓名： | 李浩 伍鹏程 杨丛丽 |
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| 作者单位： | 贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001;贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001;贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001 |
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| 摘 要： | 设M为Banach空间X中的有界子集,在M上有一致收敛于f0的紧映射序列{Fn}。当{Fn}中每个元Fn满足一定条件时,Fn在集{Fn(x),x∈M}上均有不动点且唯一,然后讨论极限映射f0在集D=f0({f0x,x∈M})上不动点的存在性与唯一性。
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| 关 键 词： | 不动点 紧映射 连续映射 |
| 文章编号： | 1004-5570（2007）01-0074-03 |
| 收稿时间： | 2006-09-20 |
| 修稿时间： | 2006-09-20 |
A fixed point theory about limitation map of compact maps sequence |
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| LI Hao,WU Peng-cheng,YANG Cong-li. A fixed point theory about limitation map of compact maps sequence[J]. Journal of Guizhou Normal University(Natural Sciences), 2007, 25(1): 74-76 |
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| Authors: | LI Hao WU Peng-cheng YANG Cong-li |
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| Affiliation: | School of Mathematics and Computer, Guizhou Normal University ,Guiyang,Guizhou 550001 ,China |
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| Abstract: | In this thesis,the compact maps sequence {F_n(x)} on the bounded subset M of Banach space X is supposed and the sequence {F_n(x)} satisfies that F_n converges to the map f_0 uniformly on M.Then {F_n(x)} also satisfies some conditions in addition to the above so that each F_n of {F_n(x)} has unique fixed point in set {F_n(x),x∈M}.Then we will discuss the fixed point problem of f_0. |
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| Keywords: | fixed point compact maps successive maps |
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