Strong Convergence of Two Iterative Algorithms for Nonexpansive Mappings in Hilbert Spaces

被引:26
|
作者
Yao, Yonghong [1 ]
Liou, Yeong Cheng [2 ]
Marino, Giuseppe [3 ]
机构
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
[2] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan
[3] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy
关键词
VISCOSITY APPROXIMATION METHODS; FIXED-POINTS; BANACH-SPACES; THEOREMS; ROBUSTNESS;
D O I
10.1155/2009/279058
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We introduce two iterative algorithms for nonexpansive mappings in Hilbert spaces. We prove that the proposed algorithms strongly converge to a fixed point of a nonexpansive mapping T. Copyright (C) 2009 Yonghong Yao et al.
引用
收藏
页数:7
相关论文
共 50 条
  • [41] Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space
    Chen, Yi-An
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [42] CQ ITERATIVE ALGORITHMS FOR FIXED POINTS OF NONEXPANSIVE MAPPINGS AND SPLIT FEASIBILITY PROBLEMS IN HILBERT SPACES
    Qin, Xiaolong
    Petrusel, Adrian
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (01) : 157 - +
  • [43] Strong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces
    Huan-chun Wu
    Cao-zong Cheng
    De-ning Qu
    Journal of Inequalities and Applications, 2014
  • [44] Strong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces
    Wu, Huan-chun
    Cheng, Cao-zong
    Qu, De-ning
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [45] Strong-weak convergence of two algorithms for total asymptotically nonexpansive mappings
    Hao, Yan
    Wang, Chaoping
    Zhou, Jie
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2700 - 2709
  • [46] Strong convergence of two inertial projection algorithms in hilbert spaces
    Tan B.
    Xu S.
    Journal of Applied and Numerical Optimization, 2020, 2 (02): : 171 - 186
  • [47] The Strong Convergence of a New Iterative Algorithm for Asymptotically Nonexpansive Mappings
    Wang, Yuanheng
    Sun, Weiwei
    PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON COMPUTER AND INFORMATION APPLICATIONS (ICCIA 2012), 2012, : 376 - 379
  • [48] Strong convergence of an iterative algorithm for accretive operators and nonexpansive mappings
    Jung, Jong Soo
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2394 - 2409
  • [49] Strong convergence of the modified Ishikawa iterative method for infinitely many nonexpansive mappings in Banach spaces
    Katchang, Phayap
    Kumam, Poom
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (04) : 1473 - 1483
  • [50] Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spaces
    Zhou, HY
    Wei, L
    Cho, YJ
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 173 (01) : 196 - 212