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

非Lipschitz的广义渐近φ-半压缩映象迭代序列的强收敛性 被引量：3

STRONG CONVERGENCE OF ITERATIVE SEQUENCE FOR NON-LIPSCHITZ GENERALIZED ASYMPTOTICALLY φ-HEMI-CONTRACTIVE MAPPINGS
原文传递
导出
摘要 在较一般的条件下,研究了赋范线性空间中具误差的修正的Mann迭代程序逼近非Lipschitz的广义渐近φ-半压缩映象不动点的强收敛性.所得结果推广和改进了近期内的相应结果. The purpose of this paper is to study the strong convergence of the modified Mann iterative processes with errors for approximating fixed points of non-Lipschitz generalized asymptoticallyφ-hemi-contractive mappings in a real normed linear space under certain conditions.The results presented in this paper improve and extend some recent corresponding results.
作者 杨理平
机构地区 广东工业大学应用数学学院
出处 《系统科学与数学》 CSCD 北大核心 2010年第12期1661-1668,共8页 Journal of Systems Science and Mathematical Sciences
基金 国家自然科学基金(60974143 70871028)资助课题
关键词 广义渐近φ-半压缩映象 依中间意义渐近非扩张映象 具误差的修正的Mann迭代序列 不动点 赋范线性空间 Generalized asymptoticallyφ-hemi-contractive mappings asymptotically nonexpansive mappings in the intermediate sense modified Mann iterative sequence with errors fixed points normed linear spaces
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献17

  • 1Goebel K and Kirk W A.A fixed point theorem for transformations whose iteratives have uniform Lipschitz constant.Studia Math.,1973,47:135-140.
  • 2Goebel K and Kirk W A.A fixed point theorem for asymptotically nonexpansive mappings.Proc.Amer.Math.Soc.,1972,35:171-174.
  • 3Schu J.On a theorem of C E Chidume concerning the iterative approximation of fixed points.Math.Nachr.,1991,153:407-413.
  • 4肖建中,朱杏华.关于渐近拟非扩张算子不动点迭代逼近的注记[J].应用数学学报,2004,27(4):608-616. 被引量：11
  • 5Bruck R E,Kuczumow T and Reich S.Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial propety.Colloq.Math.,1993,65:169-179.
  • 6Rhoades B E.A comparison of various definition of contractive mappings.Trans.Amer,Math.Soc.,1977,226:257-290.
  • 7Byrne C.A unified treatment of some iterative algorithms in signal processing and image reconstruction.Inverse Problems,2004,20:103-120.
  • 8Podilchuk C I and Mammone R J.Image recovery by convex projections using a least-squares constraint.J.Opt.Soc.Amer.,1990,7:517-521.
  • 9曾六川.关于非Lipschitz的渐近伪压缩映象的迭代法的强收敛性[J].应用数学学报,2004,27(3):430-439. 被引量：6
  • 10杨理平.多值渐近Φ-半压缩型映象三步迭代集合序列的强收敛性[J].应用数学学报,2006,29(3):555-566. 被引量：2

二级参考文献18

  • 1胡良根,刘理蔚.Banach空间中p-严格渐近伪压缩映象的收敛性问题[J].应用泛函分析学报,2004,6(2):132-139. 被引量：10
  • 2Zeng LuchuanDept. of Math.,Shanghai Normal Univ.,Shanghai 200234..ITERATIVE APPROXIMATION OF FIXED POINTS OF (ASYMPTOTICALLY) NONEXPANSIVE MAPPINGS[J].Applied Mathematics(A Journal of Chinese Universities),2001,16(4):402-408. 被引量：8
  • 3Liu Q H. Iterative Sequences for Asymptotically Quasi-nonexpansive Mappings. J. Math. Anal.Appl., 2001, 259:1-7
  • 4Goebel K, Kirk W A. A Fixed Point Theorem for Asymptotically Nonexpansive mappings. Proc.Amer. Math. Soc., 1972, 35(1): 171-174
  • 5Goebel K, Kirk W A. A Fixed Point Theorem for Transformations whose Iterates Have Uniform Lipschitz Constant. Studia Math., 1973, 47:137-140
  • 6Petryshyn W V, Williamson T E. Strong and Weak Convergence of the Sequence of Successive Approximations for Quasi-nonexpansive Mappings. J. Math. Anal. Appl., 1973, 43:459-497
  • 7Schu J. Iterative Construction of Fixed Points of Asymptotically Nonexpansive Mappings. J. Math.Anal. Appl., 1991, 158:407-413
  • 8Tan K K, Xu H K. Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings. Proc.Amer. Math. Soc., 1994, 122:733-739
  • 9Ghosh M K, Debnath L. Convergence of Ishikawa Iterates of Quasi-nonexpansive Mappings. J. Math.Anal. Appl., 1997, 207:96-103
  • 10Liu Q H. Convergence Theorems of the Sequence of Iterates for Asymptotically Demi-contractive and Hemi-contractive Mappings. Nonlinear Anal. TMA, 1996, 26(8): 1835-1842

共引文献27

同被引文献27

引证文献3

二级引证文献28

系统科学与数学
2010年 第12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