期刊文献+

一致凸Banach空间中渐近非扩张映像的Ishikawa迭代格式之强收敛定理

Some Strong Convergence Theorems for Ishikawa Iterative Schemes for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces
在线阅读 下载PDF
导出
摘要  通过使用新的分析技巧,建立了渐近非扩张映像的Ishikawa迭代格式之强收敛定理.所得结果改进了Schu,Rhoades,Liu和Xue以及其他作者的相关结果. By virtue of new analysis technique, we have established a strong convergence theorem for Ishikawa iteration scheme for asymptotically nonexpansive mappings in uniformly convex Banach spaces. Our results improve the recent ones announced by Schu, Rhoades Liu and Xue and others.
出处 《应用泛函分析学报》 CSCD 2004年第3期262-266,共5页 Acta Analysis Functionalis Applicata
关键词 渐近 强收敛定理 ISHIKAWA迭代 一致凸BANACH空间 映像 扩张 格式 使用 asymptotically nonexpansive mapping Ishikawa iteration scheme uniformly convex Banach space
  • 相关文献

参考文献1

二级参考文献13

  • 1[1]Goebel K, Kirk W A. A fixed point theorem for asymptotically non-expansive mappings[J]. Proc Amer Math Soc, 1972, 35: 171-174.
  • 2[2]Schu J. Iterative construction of fixed points of asymptotically nonexpansive mappings[J]. J Math Anal Appl, 1991, 158: 407-413.
  • 3[3]Schu J. Weak and strong convergence of fixed points of asymptotically nonexpansive mappings[J]. Bull Austral Math Soc, 1991, 43: 153-159.
  • 4[4]Tan K K, Xu H K. Fixed point iteration processes for asymptotically nonexpansive mappings[J]. Proc Amer Math Sco, 1994, 122: 733-739.
  • 5[5]Xu H K. Inequalities in Banach spaces with applications[J]. Nonlinear Anal, 1991, 16: 1127-1138.
  • 6[6]Rhoades B E. Fixed point iterations for certain nonlinear mappings[J]. J Math Anal Appl, 1994, 183:118-120.
  • 7[7]Liu Q H, Xue L X. Convergence theorems of iterative sequences for asymptotically nonexpansive mapping in a uniformly convex Banach space[J]. J Math Res and Exp, 2000, 20: 331-336.
  • 8[8]Tan K K, Xu H K. Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process[J]. J Math Anal Appl, 1993, 178: 301-308.
  • 9[9]Bruek R E. A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces[J].Israel J Math, 1979, 32: 107-116.
  • 10[10]Senter H F, Dotson W G, Jr. Approximating fixed points of non-expansive mappings[J]. Proc Amer Math Sco, 1974, 44: 375-380.

共引文献3

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