期刊文献+

凸度量空间中广义拟压缩映射具误差的Ishikawa型迭代序列的收敛性

Convergence of Ishikawa Type Iterative Sequence with Errors for Generalized Quasi-contractive Mappings in Convex Metric Spaces
下载PDF
导出
摘要 构造了具误差的Ishikawa和Mann型迭代序列,研究了凸度量空间中广义拟压缩映射的收敛性问题.所的结果改进和推广了Ciric、Rhoades、LiuQH、XuHK、田有先和张石生等人的相应结果. In this paper some convergence theorems of Ishikawa and Mann type iterative sequence with error for generalized quasi-contractive mappings in convex metric spaces are proved. The result presented in this paper improve and extend the corresponding results of Ciric, Rhoades, Liu Q H, Xu H K, Tian Y X and Zhang S S, et al.
出处 《应用泛函分析学报》 CSCD 2006年第2期139-144,共6页 Acta Analysis Functionalis Applicata
基金 天津市高校科技发展基金(20040401)
关键词 凸度量空间 具误差的Ishikawa(Mann)型迭代序列 广义拟压缩 不动点 convex metric space Ishikawa(Mann) iterative sequence with error generalized quasi-contractive fixed point
  • 相关文献

参考文献9

  • 1Rhoades B E.Comments on two fixed point iteration methods[J].J Math Anal Appl,1976,56:741-750.
  • 2Naimpally S A,Singh K L.Extensions of some fixed point theorems of Rhoades[J].J Math Anal Appl,1983,96:437-446.
  • 3Liu Q H.On Naimpally and Singh's open questions[J].J Math Anal Appl,1987,124:157-164.
  • 4Liu Q H.A convergence theorem of the sequence of Ishikawa iterates for quasi-contractive mapping[J].J Math Anal Appl,1990,146:301-305.
  • 5Xu H K.A note on the Ishikawa iteration scheme[J].J Math Anal Appl,1992,167:582-587.
  • 6Ding X P.Iteration processes for nonlinear mapping in convex metric spaces[J].J Math Anal Appl,1988,132:114-122.
  • 7Ciric I B.A generalized of Banach's contraction principle[J].Proc Amer Math Soc,1974,45:267-273.
  • 8Rhoades H E.Convergence of an Ishikawa type iteration scheme for a generalized contraction[J].J Math Anal Appl,1994,185-2:350-355.
  • 9田有先,张石生.凸度量空间中拟压缩映象具误差的Ishikawa型迭代序列的收敛性[J].应用数学和力学,2002,23(9):889-895. 被引量:11

二级参考文献11

  • 1[6]XU Hong-kun.A note on the Ishikawa iteration scheme[J].J Math Anal Appl,1992,167(2):582-587.
  • 2[7]Rhoades H E.Comments on two fixed point iteration methods[J].J Math Anal Appl,1976,56(2):741-750.
  • 3[8]Naimpally S A, Singh K I.Extensions of some fixed point theorems of Rhoades[J].J Math Anal Appl,1983,96(2):437-446.
  • 4[9]LIU Qi-hou.On Naimpally and Singh's open questions[J].J Math Anal Appl,1987,124(1):157-164.
  • 5[10]LIU Qi-hou.A convergence theorem of the sequence of Ishikawa iterates for quasi-contractive mappings[J].J Math Anal Appl,1990,146(2):301-305.
  • 6[11]Takahashi W.A convexity in metric space and nonexpansive mappings Ⅰ[J].Kodai Math Sem Rep,1970,22(1):142-149.
  • 7[1]Chang Shi-sheng, Cho Y J, Jung J S, et al.Iterative approximations of fixed points and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J].J Math Anal Appl,1998,224(1):149-165.
  • 8[2]Ciric L B.A generalization of Banach's contraction principle[J].Proc Amer Math Soc,1974,45(1):267-273.
  • 9[3]Chidume C E.Convergence theorems for strongly pseudo-contractive and strongly accretive mappings[J].J Math Anal Appl,1998,228(1):254-264.
  • 10[4]Chidume C E.Global iterative schemes for strongly pseudo-contractive maps[J].Proc Amer Math Soc,1998,126(9):2641-2649.

共引文献10

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