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半压缩映射公共不动点的逼近
引用本文:朱杏华,肖建中.半压缩映射公共不动点的逼近[J].西南农业大学学报,2011,33(10).
作者姓名:朱杏华  肖建中
作者单位:南京信息工程大学数理学院;
基金项目:国家自然科学基金资助项目(10671094)
摘    要:研究了涉及3个半压缩映射的具误差的三步迭代程序,借助不等式技巧讨论了该迭代程序逼近公共不动点的强收敛性与弱收敛性,建立了一些新的收敛定理.

关 键 词:半压缩映射  三步迭代程序  公共不动点  Opial条件  半紧映射  

Approximation of Common Fixed Points of Hemicontractive Mappings
ZHU Xing-hua,XIAO Jian-zhongCollege of Mathematics , Physics,Nanjing University of Information , Technology,Nanjing ,Chin.Approximation of Common Fixed Points of Hemicontractive Mappings[J].Journal of Southwest Agricultural University,2011,33(10).
Authors:ZHU Xing-hua  XIAO Jian-zhongCollege of Mathematics  Physics  Nanjing University of Information  Technology  Nanjing  Chin
Institution:ZHU Xing-hua,XIAO Jian-zhongCollege of Mathematics and Physics,Nanjing University of Information and Technology,Nanjing 210044,Chin
Abstract:A three-step iterative process is studied with errors involving three hemicontractive mappings.Several new weak and strong convergence theorems are established for the iterative process to approximate the common fixed points of the mappings by virtue of inequality technique.
Keywords:hemicontractive mapping  three-step iterative process  common fixed point  Opial's condition  semi-compact mapping  
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