Strong convergence of a general iterative algorithm in Hilbert spaces

被引:0
|
作者
Songtao Lv
机构
[1] Shangqiu Normal University,School of Mathematics and Information Science
关键词
nonexpansive mapping; viscosity approximation method; equilibrium problem; fixed point;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, the problem of approximating a common element in the common fixed point set of an infinite family of nonexpansive mappings, in the solution set of a variational inequality involving an inverse-strongly monotone mapping and in the solution set of an equilibrium problem is investigated based on a general iterative algorithm. Strong convergence of the iterative algorithm is obtained in the framework of Hilbert spaces. The results obtained in this paper improve the corresponding results announced by many authors.
引用
收藏
相关论文
共 50 条
  • [1] Strong convergence of a general iterative algorithm in Hilbert spaces
    Lv, Songtao
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [2] STRONG CONVERGENCE OF A GENERAL ITERATIVE PROCESS IN HILBERT SPACES
    Yang, Yantao
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (11) : 1945 - 1957
  • [3] STRONG CONVERGENCE OF A VISCOSITY ITERATIVE ALGORITHM IN HILBERT SPACES
    Zhang, Mingliang
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2014,
  • [4] Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces
    Yan-Lai Song
    Hui-Ying Hu
    Ya-Qin Wang
    Lu-Chuan Zeng
    Chang-Song Hu
    [J]. Fixed Point Theory and Applications, 2012
  • [5] Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces
    Song, Yan-Lai
    Hu, Hui-Ying
    Wang, Ya-Qin
    Zeng, Lu-Chuan
    Hu, Chang-Song
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [6] Strong Convergence of a Modified Iterative Algorithm for Mixed-Equilibrium Problems in Hilbert Spaces
    Xueliang Gao
    Yunrui Guo
    [J]. Journal of Inequalities and Applications, 2008
  • [7] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR λ-STRICTLY PSEUDO-CONTRACTIVE MAPPINGS IN HILBERT SPACES
    Li, Mengqin
    Yao, Yonghong
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2010, 18 (01): : 219 - 228
  • [8] Strong convergence of a modified iterative algorithm for mixed-equilibrium problems in Hilbert spaces
    Gao, Xueliang
    Guo, Yunrui
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
  • [9] Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces
    Liu, Lishan
    Liu, Chun
    Wang, Fang
    Wu, Yonghong
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (10): : 5695 - 5711
  • [10] STRONG CONVERGENCE OF THE ALTERNATING RESOLVENT ALGORITHM IN HILBERT SPACES
    Yao, Bingchen
    Wang, Yamin
    [J]. JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2024, 2024