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Banach空间中严格拟伪压缩映像族公共不动点的迭代算法
引用本文:何斌,陈东青.Banach空间中严格拟伪压缩映像族公共不动点的迭代算法[J].军械工程学院学报,2012(1):70-73.
作者姓名:何斌  陈东青
作者单位:军械工程学院基础部,河北石家庄050003
摘    要:根据Banach空间中严格拟伪压缩映像不动点的迭代格式,将其扩充到无穷多个严格拟伪压缩映像族公共不动点的迭代算法,证明其强收敛定理,扩展了已知的相关结果.

关 键 词:Banach空间  严格拟伪压缩映像族  投影算法  公共不动点

Iteration Methods for Fixed Points of Common Family of Quasi-strict Pseudo-contraction Mapping in Banach Spaces
HE Bin,CHEN Dong-qing.Iteration Methods for Fixed Points of Common Family of Quasi-strict Pseudo-contraction Mapping in Banach Spaces[J].Journal of Ordnance Engineering College,2012(1):70-73.
Authors:HE Bin  CHEN Dong-qing
Institution:(Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China)
Abstract:In the present paper, on the basis of the iteration methods for fixed points of quasi-strict pseudo-contraction mapping in Banach spaces, it is expanded to the hybrid projection for fixed points of common family of quasi-strict pseudo-contraction mapping in Banach spaces. Then the strong convergence theorem is proved by the modified algorithm. The result which is related in this paper extends those obtained.
Keywords:Banach spaces  quasi-strict pseudo-contraction mapping  hybrid projection  common fixed point
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