期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

复合隐格式迭代序列逼近严格伪压缩映像族公共不动点

Composite Implicit Iteration Sequence for Common Fixed Points of a Finite Family of Strictly Pseudocontractive Mapings
下载PDF
导出
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. 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 Off, 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.
作者 高俊宇 陈丽萍 苏永福
机构地区 沧州师范专科学校数学系 河北政法职业学院计算机系 天津工业大学理学院
出处 《河北大学学报（自然科学版）》 CAS 北大核心 2008年第1期14-17,共4页 Journal of Hebei University(Natural Science Edition)
基金 天津市学科建设基金资助项目(100580204)
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 strictly pseudocontractive maps system of implicit iteration process common fixed points convergence theorems
分类号 O177.91 [理学—基础数学] O177.2 [理学—基础数学]
  • 相关文献

参考文献14

  • 1BROWBER F E, PETRYSHYN W V. Construction of fixed points of nonlinear mappings in Hilbert spaces[J]. J Math Anal Appl, 1967,20.197 - 228.
  • 2HICKS T L, KUBICEK J R. On the Mann iterative process in Hilbert spaces[J]. J Math Anal Appl, 1977,59.498- 504.
  • 3MARUSTER S. The solution by iteration of nonlinear equations[J ]. Pre Amer Math Soe, 1977,66:69 - 73.
  • 4OSILIKE M O, UDOMENE A. Demiclose dness principle and convergence results for strictly pseudoeontractive mappings of Browder-petryshyn type[J ]. J Math Anal Appl, 2001,256 : 431 - 445.
  • 5OSILIKE M O. Strong and weak convergence of the Ishikawa iteration methods for a class of nonlinear equations[J]. Bull Korean Math Soc, 2002, 37:117- 127.
  • 6RHOADES B E. Comments on two fixed point iteration methods[J]. J Math Anal Appl, 1976,56:741 - 750.
  • 7RHOADES B E. Fixed point iterations using infinite matrices[J]. Trans Amer Math Soc, 1974,196:741 - 750.
  • 8XU H K, ORI R G. An implicit iteration process for nonexpansive mappings[J]. Numer Funct Anal Optim, 2001,22:767 - 773.
  • 9OSILIKE M O. Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps[J]. Math Anal Appl, 2004 , 294 : 73 - 81.
  • 10OSILIKE M O, ANIAGBOSOR S C, AKUCHU B G. Fixed points of asymptotically demicontractive mappings in arbitrary banach spaces[J]. Pan Amer Math J, 2002,12:77 - 88.

二级参考文献13

  • 1苏永福.非扩张映像不动点集与Ishikawa逼近过程的几何结构[J].天津师范大学学报（自然科学版）,2004,24(4):56-59. 被引量：3
  • 2GOEBEL K, REICH S. Uiform convexity Hyperbolic geometry and nonexpansive mappings, monographs and textbooks in pure and applied mathematics[M]. New York: Marcel Dekker, 1984.
  • 3BROWDER F E, PETRYSHYN W V. Construction of fixed points of nonlinear mappings in Hilbert spaces[J]. J Math Anal Appl, 1967,20:197-228.
  • 4HICKS T L, KUBICEK J R. On the Mann iterative process in Hilbert spaces[J]. Math Anal Appl, 1997,59:498-504.
  • 5MARUSTER S. The solution by iteration of nonlinear equations[J]. Prc Amer Math Soc, 1977,66:69-73.
  • 6OSILIKE M O, UDOMENE A. Demiclosedness principle and convergence results for strictly pseudocontractive mappings of Browder-Petryshyn type[J]. J Math Anal Appl, 2001, 256:431-445.
  • 7OSILIKE M O. Strong and weak convergence of the Ishikawa iteration methods for a class of nonlinear equations[J]. Bull Korean Math Soc, 2000,37:117-127.
  • 8RHOADES B E. Comments on two fixed point iteration methods[J]. J Math Anal Appl, 1976,56:741-750.
  • 9RHOADES B E. Fixed point iterations using infinite matrices[J]. Trans Amer Math Soc, 1974,196:741-750.
  • 10OSILIKE M O, ANIAGBOSOR S C, AKUCHU B G. Fixed points of asymptotically demicontractive mappings in arbitrary Banach spaces[J]. Pan Amer Math J, 2002,12:77-88.
河北大学学报（自然科学版）
2008年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部