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Hilbert空间中Lipschitz伪压缩映像有限族公共不动点的杂交投影算法
引用本文:陈东青,刘立红,周海云.Hilbert空间中Lipschitz伪压缩映像有限族公共不动点的杂交投影算法[J].数学的实践与认识,2009,39(7).
作者姓名:陈东青  刘立红  周海云
作者单位:军械工程学院基础部,河北,石家庄,050003
摘    要:给出了Hilbert空间中Lipschitz伪压缩映像有限族公共不动点的一个杂交投影算法,并利用所给出的杂交投影算法证明了一个强收敛定理.

关 键 词:Hilbert空间  Lipschitz伪压缩映像有限族  公共不动点  杂交投影算法

Hybrid Projection Algorithm for Common Fixed Points about Finite Family of Lipschitz Pseudo-Contracive Mappings in Hilbert Spaces
CHEN Dong-qing,LIU Li-hong,ZHOU Hai-yun.Hybrid Projection Algorithm for Common Fixed Points about Finite Family of Lipschitz Pseudo-Contracive Mappings in Hilbert Spaces[J].Mathematics in Practice and Theory,2009,39(7).
Authors:CHEN Dong-qing  LIU Li-hong  ZHOU Hai-yun
Abstract:This paper modifies the classical hybrid projection algorithm by introducing a new algorithm for common fixed points for a finite family of Lipschitz pseudo-contractive mappings in Hilbert spaces.Then a strong convergence theorem is proved by the modified algorithm.The result answers an open question proposed by Marino and Xu in paper.
Keywords:Hilbert space  Lipschitz pseudo-contractive mapping  common fixed point  hybrid projection
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