Weak Convergence Theorems for a Countable Family of Strict Pseudocontractions in Banach Spaces

被引：0
|
作者：
Prasit Cholamjiak
Suthep Suantai
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] CHE,Centre of Excellence in Mathematics
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Banach Space; Convex Subset; Real Hilbert Space; Real Banach Space; Convex Banach Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We investigate the convergence of Mann-type iterative scheme for a countable family of strict pseudocontractions in a uniformly convex Banach space with the Fréchet differentiable norm. Our results improve and extend the results obtained by Marino-Xu, Zhou, Osilike-Udomene, Zhang-Guo and the corresponding results. We also point out that the condition given by Chidume-Shahzad (2010) is not satisfied in a real Hilbert space. We show that their results still are true under a new condition.
引用
收藏
相关论文
共 50 条
  • [41] Strong Convergence Theorems by Hybrid Methods for Strict Pseudocontractions and Equilibrium Problems
    Duan, Peichao
    Zhao, Jing
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [42] STRICT CONVERGENCE IN BANACH-SPACES
    BARBEY, K
    ARCHIV DER MATHEMATIK, 1976, 27 (01) : 58 - 66
  • [43] Strong Convergence Theorems by Hybrid Methods for Strict Pseudocontractions and Equilibrium Problems
    Peichao Duan
    Jing Zhao
    Fixed Point Theory and Applications, 2010
  • [44] Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces
    Saewan, Siwaporn
    Cho, Yeol Je
    Kumam, Poom
    OPTIMIZATION LETTERS, 2014, 8 (02) : 501 - 518
  • [45] Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces
    Takahashi, Wataru
    Yao, Jen-Chih
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2012, 11 (02) : 333 - 353
  • [46] Weak and strong convergence theorems of implicit iteration process on Banach spaces
    Lin, Lai-Jiu
    Chuang, Chih-Sheng
    Yu, Zenn-Tsun
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [47] ON WEAK AND STRONG CONVERGENCE THEOREMS FOR TWO NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Jhade, Pankaj Kumar
    Saluja, A. S.
    MATEMATICKI VESNIK, 2014, 66 (01): : 1 - 8
  • [48] Weak and Strong Convergence Theorems for Zeroes of Accretive Operators in Banach Spaces
    Song, Yanlai
    Ceng, Luchuan
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [49] Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces
    Siwaporn Saewan
    Yeol Je Cho
    Poom Kumam
    Optimization Letters, 2014, 8 : 501 - 518
  • [50] Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces
    Wataru Takahashi
    Jen-Chih Yao
    Journal of Fixed Point Theory and Applications, 2012, 11 : 333 - 353
12345