| Banach空间中有限簇拟压缩映射的迭代逼近 |
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| 引用本文： | 阿力非日,何中全.Banach空间中有限簇拟压缩映射的迭代逼近[J].西昌学院学报(自然科学版),2010,24(1):31-33,37. |
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| 作者姓名： | 阿力非日 何中全 |
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| 作者单位： | 西华师范大学,数学与信息学院,四川,南充,637009 |
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| 基金项目： | 四川省教育厅重点课题 |
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| 摘 要： | 在一实的Banach空间中,引入一修订的有限簇拟压缩映像T1,T2,…,Tm,并证明了在一定条件下,关于{xn}的迭代:xn+1=(1-α1n)xn+α1nT1y1n+u1n,y1n=(1-α2n)xn+α2nT2y2n+u2n…,y(m-1)n=(1-αmn)xn+αmnTmxn+umn,(m≥2)强收敛与有限个似压缩簇T1,T2,…,Tm的公共不动点。本文的结果改进和推广了一些文献的最新结果。
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| 关 键 词： | 拟压缩映象 一致光滑Banach空间 具误差的Ishikawa迭代 正规对偶映象 不动点 |
The Iterative Approximation of Limited Cluster Quasi-Contractive Mapping in Banach Space |
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| A Li Fei-ri,HE Zhong-quan.The Iterative Approximation of Limited Cluster Quasi-Contractive Mapping in Banach Space[J].Journal of Xichang College,2010,24(1):31-33,37. |
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| Authors: | A Li Fei-ri HE Zhong-quan |
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| Institution: | A Li Fei-ri,HE Zhong-quan(School of Mathematics , Information,China West Normal University,Nanchong,Sichuan 637009) |
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| Abstract: | In a solid Banach space,the introduction of a revised limited cluster T1,T2,…,Tm quasi-contractive mapping was done,and proved that under certain conditions,on the{xn}of iterations：xn＋1=（1-α1n）xn＋α1nT1y1n＋u1n,y1n=（1-α2n）xn＋α2nT2y2n＋u2n…,y（m-1）n=（1-αmn）xn＋αmnTmxn＋umn,（m≥2）strong convergence in a finite number of clusters to be compression of the common fixed point of T1,T2,…,Tm.The results of this paper improve and generalize of the latest results of the literature. |
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| Keywords: | Quasi-contractive mapping Consistent smooth Banach space An error of Ishikawa iterations Normalized duality mapping Fixed point |
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