| 渐近非扩张映像族公共不动点具误差一般复合隐格式迭代算法 |
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| 引用本文： | 郭金题,陆爱霞.渐近非扩张映像族公共不动点具误差一般复合隐格式迭代算法[J].河北师范大学学报(自然科学版),2007,31(2):167-170,176. |
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| 作者姓名： | 郭金题 陆爱霞 |
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| 作者单位： | 1. 河北经贸大学,数学与统计学学院,河北,石家庄,050061
2. 渤海石油职业学院,数学与信息科学系,河北,任丘,062552 |
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| 摘 要： | 提出了Banach空间中非扩张映像族{Ti}i=1N公共不动点具误差的广义复合隐迭代格式:{xn=αnxn-1 βnTnyn γnun,yn=wnxn-1 snTnxn tnTnxn-1,αn βn γn=wn sn tx=1.其中:{αn},{βn},{γn},{wn},{sn},{tn}∈0,1];Tn=TnmodN.证明了弱收敛及强收敛定理,其结果扩展及推广了已有结果.
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| 关 键 词： | 复合隐迭代 非扩张映像 弱收敛 强收敛 Opial条件 次闭原理 |
| 文章编号： | 1000-5854（2007）02-0167-04 |
| 修稿时间： | 2006-06-25 |
General Composite Implicit Iteration Processes with Errors for Common Fixed Points of a Finite Family of Nonexpansive Mappings |
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| GUO Jin-ti,LU Ai-xia.General Composite Implicit Iteration Processes with Errors for Common Fixed Points of a Finite Family of Nonexpansive Mappings[J].Journal of Hebei Normal University,2007,31(2):167-170,176. |
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| Authors: | GUO Jin-ti LU Ai-xia |
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| Institution: | 1. College of Mathematics and Statisties,Hebei University of Economies and Trade,Hebei Shijiazhuang 050061 ,China; 2. Department of Mathematics and Information Seienees,Professional College of Bohaii Petroleum,Hebei Renqiu 062552,China |
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| Abstract: | |
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| Keywords: | composite implicit iteration processes nonexpansive mapping weak convergence strong convergence opial's condition demi-closedness principle |
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