期刊文献+

Banach空间中渐近非扩张型映象的Ishikawa迭代序列的收敛问题 被引量:6

ON THE ITERATIVE APPROXIMATION PROBLEM OF FIXED POINTS FOR ASYMPTOTICALLY NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES
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摘要 文章研究了Banach空间中渐近非扩张型映象的具误差的修正Ishikawa迭代序列的收敛问题 ,所得结果改进和发展了文献 [1- 6 ]的相关结果 . Some iterative approximation theorems of fixed points for asymptotically nonexpansive mappings with external error member in uniformly convex Banach space are established. The results improve and extend some recent results.
作者 胡长松
出处 《数学杂志》 CSCD 北大核心 2004年第6期675-679,共5页 Journal of Mathematics
基金 湖北省教育厅重大科研项目 (2 0 0 1Z0 6 0 0 3)
关键词 渐近非扩张型映象 具误差的修正Ishikawa迭代序列 一致凸BANACH空间 asymptotically nonexpansive mapping fixed point modified Ishikawa iterative sequence with errors uniformly convexity
  • 相关文献

参考文献6

  • 1张石生.Banach空间中渐近非扩张映象不动点的迭代逼近问题[J].应用数学和力学,2001,22(1):23-31. 被引量:34
  • 2K Goebel,W A Kirk. A fixed point theorem for asymptotically nonexpansive mappings[J]. Proc Amer Math Soc, 1972,35(1):171-174.?A
  • 3W A Kirk. Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type[J]. Israel J Math, 1974,11:339-346.?A
  • 4H K Xu. Inequalities in Banach spaces with applications[J]. Nonlinear Anal TMA, 1991,16(12):1127-1138.?A
  • 5Chang Shi-sheng, Cho Y J, Jung J S, et al. Iterative approximation of fixed point and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J]. J Math Analy APPL, 1998,224:149-165.?A
  • 6H K Xu. Existence an convergence for fixed points of mappings of asymptotically nonexpansive type[J]. Nonlinear Anal TMA,1991,16(12):1139-1146.?A

二级参考文献8

  • 1Chang Shihsen,J Math Anal Appl,1998年,224卷,149页
  • 2Zeng L C,J Math Anal Appl,1998年,226卷,245页
  • 3Reich S,J Func Anal,1997年,26卷,378页
  • 4Chang Shihsen,J Math Anal Appl,1997年,216卷,94页
  • 5Liu Q H,Nonlinear Anal TMA,1996年,26卷,11期,1835页
  • 6Schu J,J Math Anal Appl,1991年,158卷,407页
  • 7Xu H K,Nonlinear Anal TMA,1991年,16卷,12期,1127页
  • 8Xu H K,Nonlinear Anal TMA,1991年,16卷,12期,1139页

共引文献33

同被引文献23

  • 1冯先智.几乎渐近非扩张型映象不动点具随机误差的迭代逼近[J].宁夏大学学报(自然科学版),2006,27(1):1-5. 被引量:1
  • 2熊明,王绍荣,杨泽恒.Banach空间中几乎渐近非扩张型映象不动点的迭代逼近问题[J].四川大学学报(自然科学版),2007,44(3):485-489. 被引量:5
  • 3GOEBEL K, KIRK W A. A Fixed Point Theorems for Asympto- ically Nonexpansive Mappings[ J]. Proc Amer Math Soc, 1972,35 (1) :171 -174.
  • 4KIRK W A. Fixed Point Theorems for Non-Lipschitzian Mappings of Asymptotically Nonexpansive Type [ J ]. Isreal J Math, 1974,11 : 339 - 346.
  • 5屈静国.几类映射的不动点迭代序列的若干收敛性质[D].中国优秀硕士学位论文全文数据库,2008(4):12-38.
  • 6PETRYSHYN W V. A Characterization of Strictly Convexity of Banach Spaces and Other Use of Duality Mappings[ J]. J. Func. Anal, 1970,6:282 - 291.
  • 7XU HONGKUN. Inequalities in Banach Spaces with Applications [ J ]. Nonlinear Anal TMA, 1991,16 ( 12 ) : 1127 - 1138.
  • 8CHANG S S,CHO Y J,JUNG J S,et al.Iterative approximation of fixed point and solutions for strongly accretive and strongly pseudo-contractive mappings in Banach spaces[J] .J Math Anal Appl,1998,224:149- 165.
  • 9LIU Q H.Convergence theorems of the sequence of iterates for asymptotically demi-contractive and hemi-contractive mappings[J] .Nonlinear Anal TMA,1996,26(11) :1 835- 1 842.
  • 10ZENG L C.A note on approximating fixed points of nonexpansive mappings by the Ishikawa iteration process[J].J Math Anal Appl,1998,226:245 - 250.

引证文献6

二级引证文献4

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