| Hilbert空间中严格伪压缩映射下迭代的收敛性问题 |
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| 引用本文： | 张国辉,王彦,赵国传,孙平.Hilbert空间中严格伪压缩映射下迭代的收敛性问题[J].大庆师范学院学报,2010,30(6). |
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| 作者姓名： | 张国辉 王彦 赵国传 孙平 |
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| 作者单位： | 大庆师范学院数学科学学院;大庆市钻探工程公司钻技一公司; |
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| 基金项目： | 大庆师范学院青年基金项目，大庆师范学院教学质量与教学改革工程研究项目，黑龙江省新世纪教改工程:数学分析教学方法改革项目 |
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| 摘 要： | 在Hilbert空间中,均衡问题和不动点问题的迭代解成为研究的热点。Hilbert空间具有优良的特性,本文在S.Al-Homidan,Q.H.Ansari等人关于Hilbert空间均衡问题与不动点问题研究的基础上,构造一个关于均衡问题和不动点问题的迭代,讨论了该迭代在Hilbert空间中严格伪压缩映射下的弱收敛性问题,并给出其强收敛的充分必要条件。
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| 关 键 词： | Hillbert空间 伪压缩映射 均衡问题 |
Convergence Theorems of Sequences Generated by Strict Pseudo-Contraction Mapping in Hilbert Spaces |
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| ZHANG Guo-hui,WANG Yan,ZHAO Guo-chuan,SUN Ping.Convergence Theorems of Sequences Generated by Strict Pseudo-Contraction Mapping in Hilbert Spaces[J].Journal of Daqing Normal University,2010,30(6). |
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| Authors: | ZHANG Guo-hui WANG Yan ZHAO Guo-chuan SUN Ping |
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| Institution: | ZHANG Guo-hui1,WANG Yan1,ZHAO Guo-chuan1,SUN Ping2 ( 1. College of Mathematics,Daqing Normal University,Daqing 163712,China,2. The first drilling technology company,Drilling Engineering,China) |
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| Abstract: | In Hilbert spaces,the equilibrium problem and iterative scheme about the fixed point is lively discussed. It has excellent characteristics in Hilbert space. Based on the equilibrium problem and the fixed point studied by S. Al-Homidan,Q. H. Ansari,we propose an iterative scheme of the equilibrium problem and the fixed point,and establish some weak and strong convergence theorems of the sequences generated by our proposed scheme of a strict pseudo-contraction mapping in Hilbert spaces. |
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| Keywords: | Hillbert space pseudo-contraction mapping equilibrium problem |
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