A Weak Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces

被引:0
|
作者
Xiaolong Qin
SunYoung Cho
ShinMin Kang
机构
[1] North China University of Water Resources and Electric Power,School of Mathematics and Information Sciences
[2] Gyeongsang National University,Department of Mathematics
[3] Gyeongsang National University,Department of Mathematics and RINS
关键词
Hilbert Space; Banach Space; Convex Subset; Nonexpansive Mapping; Real Hilbert Space;
D O I
暂无
中图分类号
学科分类号
摘要
The modified Ishikawa iterative process is investigated for the class of total asymptotically pseudocontractive mappings. A weak convergence theorem of fixed points is established in the framework of Hilbert spaces.
引用
收藏
相关论文
共 50 条
  • [31] Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
    Xiaolong Qin
    SunYoung Cho
    JongKyu Kim
    [J]. Fixed Point Theory and Applications, 2010
  • [32] Strong and Weak Convergence Theorems for the Split Feasibility Problem of (β,k)-Enriched Strict Pseudocontractive Mappings with an Application in Hilbert Spaces
    Razzaque, Asima
    Saleem, Naeem
    Agwu, Imo Kalu
    Ishtiaq, Umar
    Aphane, Maggie
    [J]. SYMMETRY-BASEL, 2024, 16 (05):
  • [33] Strong Convergence of Hybrid Algorithm for Asymptotically Nonexpansive Mappings in Hilbert Spaces
    Su, Juguo
    Tang, Yuchao
    Liu, Liwei
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [34] CONVERGENCE THEOREM FOR FINITE FAMILY OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    Ofoedu, E. U.
    Nnubia, Agatha Chizoba
    [J]. INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2015, 9 (02): : 96 - 113
  • [35] Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces
    Kurokawa, Yu
    Takahashi, Wataru
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (06) : 1562 - 1568
  • [36] Convergence Theorems for Total Asymptotically Nonexpansive Mappings in Hyperbolic Spaces
    Zhao, Liang-cai
    Chang, Shih-sen
    Wang, Xiong Rui
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [37] Convergence theorems for total asymptotically nonexpansive mappings in CAT(κ) spaces
    Chang, Shih-sen
    Zhao, Liangcai
    Liu, Min
    Tang, Jinfang
    [J]. FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2023, 2023 (01):
  • [38] Strong convergence theorems for uniformly L-Lipschitzian asymptotically pseudocontractive mappings in Banach spaces
    Zhiqun Xue
    Guiwen Lv
    [J]. Journal of Inequalities and Applications, 2013
  • [39] Strong convergence theorems for uniformly L-Lipschitzian asymptotically pseudocontractive mappings in Banach spaces
    Xue, Zhiqun
    Lv, Guiwen
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013, : 1 - 11
  • [40] Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces
    Pan, Xiujuan
    Kang, Shin Min
    Kwun, Young Chel
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,