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

两个渐近非扩张映射公共不动点的迭代程序 被引量：4

Convergence of Iterative Sequences for Common Fixed Points of Two Asymptotically Nonexpansive Mappings
下载PDF
导出
摘要 在一致凸Banach空间中,研究了迭代序列逼近收敛于两个渐近非扩张映射的公共不动点。所得结果推广了已有的一些结果。 This paper deals with convergence of iterative sequences for common fixed points of two asymptotically nonexpansive mappings in an uniformly convex Banach space. Some well - known results are generalized.
作者 唐玉超 曹寒问
机构地区 南昌大学数学系 南昌工程学院理学系
出处 《南昌大学学报（理科版）》 CAS 北大核心 2008年第5期416-419,共4页 Journal of Nanchang University(Natural Science)
基金 江西省自然科学基金资助项目(2007GQS2063) 南昌大学校基金资助项目(Z04006)
关键词 一致凸BANACH空间 渐近非扩张映射 广义Ishikawa迭代序列 公共不动点 uniformly convex banach space asymptotically nonexpansive mapping generalized ishikawa iterative sequence common fixed points
分类号 O174.41 [理学—基础数学]
  • 相关文献

参考文献6

  • 1Liu Q H, Xue L X. Convergence Theorems of herative Sequences for Asymptotically Nonexpansive Mapping in a Uniformly Convex Banach Space [ J ]. J Math Res Exp, 2000,20(3) :331 -336.
  • 2Goebel K, Kirk W A. A Fixed Point Theorem for Asymptotically Nonexpansive Mapping [ J ]. Proc Amer Math Soc ,1972,35( 1 ) :171 - 174.
  • 3Schu Ju rgen. Iterative Construction of Fixed Points of As- ymptotically Nonexpansive Mapping[J]. J Math Anal Appl, 1991,158:407 - 413.
  • 4Schu J. Weak and Strong Convergence to Fixed Points of Asymptotically Nonexpansive Mappings [ J ]. Bull Austral Math Soc, 1991,43 : 153 - 159.
  • 5Tan K K, Xu H K. Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iterative Process [ J ]. J Math Anal Appl, 1993,178:301 - 308.
  • 6唐玉超,刘理蔚.增生算子零点算法[J].南昌大学学报（理科版）,2005,29(5):419-421. 被引量：1

二级参考文献11

  • 1Bruck Jr R E.A Strongly Convergent Iterative Solution of 0∈U(X) for a Maximal Monotone Operator in Hilbert Space[J].J Math Anal Appl,1974(48):112～114.
  • 2Chidume C E.An Iterative Process for Nonlinear Lipschitzian Strongly Accretive Mappings in Lp Spaces[J].J Math Anal Appl,1990(151):453～461.
  • 3Tan K K,Xu H K.Iterative Solutions to Nonlinear Equations of strongly Accretive Operators in Banach Spaces[J].J Math Anal Appl,1993(179):9～21.
  • 4Chidume C E,Osilike M O.Approximation Methods for Nonlinear Operator Equations of the M-accretive type[J].J Math Anal Appl,1995(189):225～239.
  • 5Liu L W.Strong Convergence of Iteration Methods for Equations Involving Accretive Operators in Banach Spaces[J].Nonlinear Analysis,2000(42):271～276.
  • 6Nevanlinna Olavi.Global Iteration Schemes for Monotone Qperators[J].Nonlinear Analysis,1979,3(4):505～514.
  • 7Reich S.Construction Zero of Accretive Operators[J].Appl Anal,1979(9):159～163.
  • 8Udomene A.Construction of Zero of Accretive Mapping[J].J Math Anal Appl,2001(262):623～632.
  • 9K S,Jung J S.Strong Convergence Theorems for Accretive Operators in Banach Spaces[J].J Math Anal Appl,1990(147):330～339.
  • 10Deimling K.Nonlinear Functional Analysis[M].Berlin:Springer-Verlag,1985.

同被引文献42

  • 1王朝,刘理蔚.渐近伪压缩映象的Ishikawa迭代序列强收敛的充要条件[J].应用泛函分析学报,2006,8(3):252-258. 被引量：9
  • 2路永洁,宋岱才.关于JOR迭代法收敛性的一个注记[J].辽宁石油化工大学学报,2007,27(2):84-86. 被引量：11
  • 3GIEBEL K,KIRK W A.A Fixed Point Theorem for Asymptoticaly Nonexpansive Mappings[J].Proc Amer Math Soc,1972,35(1):171-174.
  • 4SCHU J.Iterative Construction of Fixed Points of Asymptotically Nonexpansive Mapping[J].J Math Anal Appl,1991,158(2):407-413.
  • 5RHOADES B E.Fixed Point Iterations for Certain Nonlinear Mappings[J].J Math Appl,1994,183(1):118-120.
  • 6OSILIKE M O,ANIAGBOSOR S C.Weak and Strong Convergence Theorems for Fixed Points of Asymptotically Nonex-pansive Mappings[J].Math Compute Modelling,2000,32(10):1181-1191.
  • 7CHANG S S,CHO Y J,et al.Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Types Mappingsin Banach Space[J].Panamerical Math J,2001,11(3):53-63.
  • 8CHIDUME C E,FOEDU E U,ZEGEYE H.Strong and Weak Convergence Theorems for Asymptotically NonexpansiveMappings[J].J Math Anal Appl,2003,280(2):364-374.
  • 9XU H K.Inequalities in Banach Space with Applications[J].Nonlinear Anal TMA,1991,16(12):1127-1138.
  • 10LIU Qihou.Iterative Sequences for Asymptotically Quasinonexpansive Mapping with Error Member[J].J math Anal Ap-pl,2001,259(1):18-24.

引证文献4

二级引证文献5

南昌大学学报（理科版）
2008年 第5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