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复合隐格式迭代序列逼近严格伪压缩映像族公共不动点
引用本文:高俊宇,陈丽萍,苏永福.复合隐格式迭代序列逼近严格伪压缩映像族公共不动点[J].河北大学学报(自然科学版),2008,28(1):14-17.
作者姓名:高俊宇  陈丽萍  苏永福
作者单位:1.沧州师范专科学校,数学系,河北,沧州,061001; 2.河北政法职业学院,计算机系,河北,石家庄,050061; 3.天津工业大学,理学院,天津,300160
基金项目:天津市重点学科建设基金
摘    要:Osilike证明了隐格式迭代过程逼近严格伪压缩映像族的收敛定理及相关结果,改进了Xi与Ori在关于非扩张映像族的结果.本文建立了严格伪压缩映像族的隐格式组迭代过程,进而证明了隐格式组迭代过程逼近严格伪压缩映像族的收敛定理及相关结果.改进与拓广了Osilike的结果.

关 键 词:严格伪压缩映像  隐格式组迭代  公共不动点  收敛定理  
文章编号:1000-1565(2008)01-0014-04
修稿时间:2007年5月17日

Composite Implicit Iteration Sequence for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mapings
GAO Jun-yu,CHEN Li-ping,SU Yong-fu.Composite Implicit Iteration Sequence for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mapings[J].Journal of Hebei University (Natural Science Edition),2008,28(1):14-17.
Authors:GAO Jun-yu  CHEN Li-ping  SU Yong-fu
Abstract:Osilike has proved the convergence theorems and some results of the implicit iteration process for common fixed points of a finite family of strictly pseudocontractive mapings which improved the results of Xu and Ori,about the nonexpansive mappings.The purpose of this paper is to establish the system of implicit iteration process for common fixed points of a finite family of strictly pseudocontractive mapings and to prove the convergerce theorems and some results of the implicit iteration process for common fixed points of a finite family of strictly pseudocontractive mapings which improved the results of Osilike.
Keywords:strictly pseudocontractive maps  system of implicit iteration process  common fixed points  convergence theorems
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