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| 广义集压缩映射组不动点定理的推广 | |
| 引用本文： | 王欣彦,孙涛,段晓东,李慧林.广义集压缩映射组不动点定理的推广[J].沈阳化工学院学报,2006,20(4):310-312. |
| 作者姓名： | 王欣彦 孙涛 段晓东 李慧林 |
| 作者单位： | 1. 沈阳化工学院,辽宁,沈阳,110142 2. 东北大学,辽宁,沈阳,110021 3. 大连民族学院,辽宁,大连,116029 |
| 摘 要： | 研究了几类集值映射的不动点问题．在集合压缩映射的基础上研究广义集压缩映射组的不动点定理，根据连续算子的Altman不动点定理，得出了在广义集压缩映射组基础上的Altman不动点的推广定理． |
| 关 键 词： | k-集压缩映射 广义集压缩映射组 不动点 |
| 文章编号： | 1004-4639（2006）04-0310-03 |
| 收稿时间： | 2006-01-09 |
| 修稿时间： | 2006-01-09 |
Study in a Few Kinds of Fixed Point Problems in Set-valued Mappings and Its Applications |
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| WANG Xin-yan,SUN Tao,DUAN Xiao-dong,LI Hui-lin.Study in a Few Kinds of Fixed Point Problems in Set-valued Mappings and Its Applications[J].Journal of Shenyang Institute of Chemical Technolgy,2006,20(4):310-312. | |
| Authors: | WANG Xin-yan SUN Tao DUAN Xiao-dong LI Hui-lin |
| Affiliation: | 1. Shenyang Istitute of Charnical Technology, Shenyang 110142, China; 2. Northeastern Uniersicity, Shenyang 110023, China; 3. Dalian Dationality University, Shenyang 116600, China |
| Abstract: | In this paper a few kinds of fixed point problems in set-valued mappings are discussed.We discusse the fixed point theorem for a system of generalized set-contraction mappings and obtain the new fixed point theorem for a system of generalized set-contraction mappings.At the same time,we extend some results of Altman's theorem. |
| Keywords: | k-set contraction a system of generalized set-contraction mappings fixed point |
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