期刊文献+

具平均误差的修正Ishikawa迭代算法的收敛性

Convergence of Modified Ishikawa Iterative Sequences with Mean Errors
下载PDF
导出
摘要 在线性赋范空间中,讨论了渐近伪压缩映像和一致Lipschitz映像具平均误差的修正Ishikawa迭代算法的逼近问题.在适当的条件下,得到了该迭代算法的强收敛性. The iterative approximation problems of modified Ishikawa iterative sequences with mean errors for asymptotically pseudo-contractive mappings and uniformly L-Lipschitz mappings in normed linear spaces are studied. Under suitable conditions,it proves the strong convergence of the iterative sequences.
出处 《太原师范学院学报(自然科学版)》 2009年第3期6-9,共4页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 渐近伪压缩映像 一致Lipschitz映像 Ishikawa迭代算法 不动点 asymptotically pseudoeontractive mapping uniformly L-Lipschitz mapping Ishikawa iterative sequences fixed point
  • 相关文献

参考文献3

  • 1谷峰,堵秀凤.赋范空间中渐近伪压缩映象不动点的迭代逼近(英文)[J].应用泛函分析学报,2003,5(2):125-131. 被引量:6
  • 2S. S. Chang,W. H. J. Lee,K. K. Tan. Stability and convergence of modified Ishikawa iterative sequences with errors in Banach spaces[J] 2006,Acta Mathematica Hungarica(4):267~285
  • 3H.K. Xu. An Iterative Approach to Quadratic Optimization[J] 2003,Journal of Optimization Theory and Applications(3):659~678

二级参考文献10

  • 1Rhoades B E. Comments on two fixed point iteration methods[J]. J Math Anal Appl, 1976, 56: 741--750.
  • 2Goebel K, Kirk W A. A fixed point theorem for asymptotically nonexpansive mappings[J]. Proc Amer Math Soc, 1972, 35(1): 171--174.
  • 3Schu J. Iterative construction of fixed points of asymptotically nonexpansive mappings[J]. J Math Anal Appl, 1991, 158: 407--413.
  • 4Browder F E. Nonexpansive nonlinear operators in Banaeh spaces[J]. Proe Natl Aead Sei U. S. A.,1965, 54: 1041--1044.
  • 5Huang Z. Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings [J].Computers Math Applic, 1999, 37: 1--7.
  • 6Kirk W A. A fixed point theorem for mappings which do not increase distance[J]. Amer Math Monthly,1965, 72: 1004--1006.
  • 7Liu Q H. Convergence theorems of the sequence of iterates for asymptotically demi-contractive and hemicontractive mappings[J]. Nonlinear Anal, 1996, 26(11) : 1835--1842.
  • 8Xu H K. Existence and convergence for fixed points of mapping of asymptotically nonexpansive typel[J].Nonlinear Anal, 1991, 16(2): 1139--1146.
  • 9Chang S S, Park J Y, Cho Y J. Iterative approximations of fixed points for asymptotically nonexpansive mappings in Banach spaces[J]. Bull Korean Math Soc, 2000, 37: 109--119.
  • 10Zhou H Y, Cho Y J. Ishikawa and Mann iterative proeesses with errors for nonlinear φ -strongly quasiaeeretive mappings in normed linear spaces[J]. J Korean Math Soe, 1999, 36(6) : 1061--1073.

共引文献5

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