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2个有限渐近非扩张映射族的迭代序列的强收敛性
引用本文:王莹,邓璎函.2个有限渐近非扩张映射族的迭代序列的强收敛性[J].西南农业大学学报,2011,33(8).
作者姓名:王莹  邓璎函
作者单位:西南大学数学与统计学院;西南财经大学金融学院;
基金项目:国家自然科学基金资助项目(11071198)
摘    要:在希尔伯特空间中对2个有限渐近非扩张映射族引入了新的修正的Mann迭代序列,并证明了该迭代序列强收敛于这2个有限渐近非扩张映射族的公共不动点.

关 键 词:强收敛性  修正Mann迭代序列  渐近非扩张映射  

Strong Convergence of Iteration Sequence for Two Finite Families of Asymptotically Nonexpansive Mappings
WANG Ying,DENG Ying-han .School of Mathematics , Statistics,Southwest University,Chongqing ,China.Strong Convergence of Iteration Sequence for Two Finite Families of Asymptotically Nonexpansive Mappings[J].Journal of Southwest Agricultural University,2011,33(8).
Authors:WANG Ying  DENG Ying-han School of Mathematics  Statistics  Southwest University  Chongqing  China
Institution:WANG Ying1,DENG Ying-han2 1.School of Mathematics and Statistics,Southwest University,Chongqing 400715,China,2.Department of Finance,Southwestern University of Finance and Economics,Chengdu 611130
Abstract:In this paper,a new modified Mann's iteration squence for two finite families of asymptotically nonexpansive mappings in a Hilbert space is studied.And it is proved that the iteration sequence converges strongly to a common fixed point of the families.
Keywords:strong convergence  modified Mann iteration  asymptotically nonexpansive mapping  
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