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

一致伪压缩映射的具误差的Ishikawa和Mann迭代序列收敛性的等价性问题 被引量：1

The equivalence on the convergence problems of Ishikawa and Mann iterative processes with error for uniformly pseudo-contraction
在线阅读 下载PDF
导出
摘要 利用正规对偶映射的性质,证明了在一致伪压缩映射条件下具误差的Ishikawa迭代序列和Mann迭代序列的等价性问题,得到了具误差的Ishikawa迭代序列和Mann迭代序列均收敛于一致伪压缩映射的不动点.将文献[3]中的结论推广至具误差的迭代序列情形. It is shown that Ishikawa and Mann iterative processes with error are equivalent for uniformly pseudo - contractive mappings by the means of normal dual mapping. And the conclusion is drawn that Ishikawa and Mann iterative processes with error convergence to the fixed point under uniformly pseudo - contractive mappings. Further, this obtained result extends and generalizes the results of Krishna Kumar in [ 3 ] to the iterative processes with error.
作者 野金花 崔云安
机构地区 哈尔滨理工大学应用科学学院
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2006年第2期242-244,共3页 Journal of Natural Science of Heilongjiang University
基金 国家自然科学基金资助项目(10571037)
关键词 一致伪压缩 具误差的Ishikawa迭代序列和Mann迭代序列 不动点 uniformly pseudo -contraction Ishikawa and Mann iterative processes with error fixed point
分类号 O177.3 [理学—基础数学]
  • 相关文献

参考文献6

  • 1CHANG S S,CHA Y J,JUNG J S,et al.Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudocontractive mappings in Banach spaces[J].J Math Anal Appli,1998,224:149-165.
  • 2CHIDUME C E,ZEYEGE H.Approximation methods for nonlinear operator equations[J].Proc Amer Math Soc,2002,131:2467-2478.
  • 3KRISHNA KUMAR.The equivalence of Mann and Ishikawa iteration for the class of uniformly pseudocontraction[J].Thai Journal of Mathematics,2004,2:217-225.
  • 4ALBER YA,GUERRE-DELABRIERE S.Principles of weakly contractive mapsin Hilbert spaces[J].Operator Theory,Advances and Appl,1997,98:7-22.
  • 5ALBER YA,GUERRE-DELABRIERE S,ZELENKO L.The principle of weakly contractive maps in metric spaces[J].Communications on Appl Nonlinear Anal,1998,5:45-68.
  • 6MANN W R.Mean value methods in iteration[J].Proc Amer Math Soc,1953,4:506 -510.

同被引文献5

  • 1S. S. Chang, Y .J. Cha, and J. S. Jung, .et. al.. Iterative Approximations of Fixed Points and Solutions for Strongly Accretive and Strongly Pseudo-contractive Mappings in Banach Spaces[J]. Math. Anal.Appli., 1998,224:149-165.
  • 2S.S.Chang.On Chidume's Open Questions and Approximate Solutions for Muhrvalued Strongly Accretive Mapping Equations in Banach Spaces[J]. Math Anal Appl,1997, 216: 94-111.
  • 3X. L. Weng. Fixed Point Iteration for Local Strictly Pseudo-contractive Mapping [J ]. Proc. Amer. Math Soc., 1991, 113(3): 727-731.
  • 4K. Deimling. Zeros of Accretive Mapping[J]. Manuscripta Math, 1974: 365-374.
  • 5Zeqing Liu, Shin Min Kang. Convergence Theorems for Ф-strongly Aecretive and Ф-hemicontraetive Operators [J]. Math Anal. Appli., 2001, 253: 35-49.

引证文献1

黑龙江大学自然科学学报
2006年 第2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