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

渐近非扩张映射修正Ishikawa迭代的强收敛 被引量：2

Strong Convergence of Modified Ishikawa Iteration for Asymptotically Nonexpansive Mappings
原文传递
导出
摘要 利用CQ方法修正了渐近非扩张映射的Ishikawa迭代,并证明修正迭代过程强收敛,此结果推广并改进了一些相关结论. We introduce the modified Ishikawa iteration for asymptotically nonexpansire mappings by the CQ method, and prove the strong convergence theorems of the modified Ishikawa iteration process. These results extend and improve the corresponding ones now existing.
作者 张丽娟 陈俊敏
机构地区 河北大学数学与计算机学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2008年第1期123-128,共6页 Acta Mathematica Sinica：Chinese Series
基金 河北省自然科学基金数学研究专项资助项目(07M003)
关键词 CQ方法 渐近非扩张映射 强收敛 CQ method asymptotically nonexpansive mappings strong convergence
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Byrne C., A unified treatment of some iterative algorithms in signal processing and image reconstruction, Inverse Problems, 2004,20: 103-120.
  • 2Nakajo K., Takahashi W., Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appal, 2003, 279: 372-379.
  • 3Kim T. H., Xu H. K., Strong convergence of modified Mann iteration for asymptotically nonexpansive mappings and semigroups, Nonlinear Anal., 2006, 64: 1140-1152.
  • 4Tan K. K., Xu H. K., Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process, J. Math. Anal. Appl., 1993, 178(2): 301-308.
  • 5Martinez-Yanes C., Xu H. K., Strong convergence of the CQ method for fixed point iteration processes, Nonlinear Anal., 2006, 64: 2400-2411.
  • 6Lin P. K., Tan K. K., Xu H. K., Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings, Nonlinear. Anal., 1995, 24: 929-946.
  • 7Goebel K., Kirk W. A, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Am. Math. Soc., 1972, 35: 171-174.
  • 8Reich S., Strong convergence theorems for resolvent of accretive operators in Banach spaces, J. Math. Anal. Appa., 1980, 75: 287-292.

同被引文献29

  • 1熊明,王绍荣,杨泽恒.Banach空间中几乎渐近非扩张型映象不动点的迭代逼近问题[J].四川大学学报（自然科学版）,2007,44(3):485-489. 被引量：5
  • 2Xu H K. Inequalities in Banaeh spaces with applieations[J]. Nonl Artal,1991,16:1127-1138.
  • 3Nakajo K, Shimoji K, Takahashi W. Strong convergence theorems by the hybrid method for families of nonexpansive mappings in a Hilbert spaces[J]. Taiwan Residents J Math, 2006,10:339-360.
  • 4Wittmann R. Appoximation of fixed points of nanexpansive mapping[J]. Arch Math, 1992, 58:486-491.
  • 5Jean Philippe, Chancelier, Iterative schemes for computing fixed point of nanexpansive mappings in Banach space[J]. Jour Comp Appl Math,2009,353:141-153.
  • 6Chang S S, Chen Y Q, Cho Y J, Lee B S. Fixed point theorems for nonexpansive operators with dissipative perturbations in cones[J]. Comm Math Univ Caro, 1998,39(1):49-54.
  • 7Benlong Xu. Fixed point iteratios for asymptotically nonexpansive mapping in Banach space[J]. Jour Comp Appl Math, 2002,267:444-453.
  • 8Liu Qihou. Iteration sequences for asymptotically quasi-nonexpansive mapping with an error member of uniform Banach space[J]. Jour Comp Appl Math. 2002,266:468-471.
  • 9Sahu D R. Strong convergence theorems for nonexpansive type and non-self multi-valued mappings [J]. Nonl Anal, 1999,37:401-407.
  • 10Geobel K, Kirk W A. A fixed point thoerem for asymptotically nonexpansive mapping[J]. Proc Amer Math Soc, 1972,35(1):171-174.

引证文献2

二级引证文献1

数学学报（中文版）
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