A strong convergence theorem of common elements in Hilbert spaces

被引:1
|
作者
Chen, Zigao [1 ]
机构
[1] North China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Henan, Peoples R China
关键词
equilibrium problem; variational inequality; quasi-nonexpansive; inverse-strongly monotone mapping; FIXED-POINT PROBLEMS; EQUILIBRIUM PROBLEMS; APPROXIMATION; ALGORITHMS;
D O I
10.1186/1687-1812-2013-59
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this article is to investigate the convergence of an iterative process for equilibrium problems, fixed point problems and variational inequalities. Strong convergence of the purposed iterative process is obtained in the framework of Hilbert spaces. MSC: 47H05, 47H09, 47J25.
引用
收藏
页数:16
相关论文
共 50 条
  • [41] On the strong convergence of sequences of Halpern type in Hilbert spaces
    Jaipranop, Ch.
    Saejung, S.
    OPTIMIZATION, 2018, 67 (11) : 1895 - 1922
  • [42] STRONG CONVERGENCE OF THE ALTERNATING RESOLVENT ALGORITHM IN HILBERT SPACES
    Yao, Bingchen
    Wang, Yamin
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2024, 2024
  • [43] Strong convergence of a general iterative algorithm in Hilbert spaces
    Lv, Songtao
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [44] Strong Convergence in Hilbert Spaces via I"-Duality
    Marques Alves, M.
    Melo, J. G.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 158 (02) : 343 - 362
  • [45] Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
    Izuchukwu, Chinedu
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 27 - 40
  • [46] Strong convergence theorem for accretive mapping in Banach spaces
    He, Zhenhua
    MATHEMATICAL COMMUNICATIONS, 2010, 15 (02) : 393 - 400
  • [47] A strong convergence theorem for contraction semigroups in Banach spaces
    Xu, HK
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 72 (03) : 371 - 379
  • [48] Strong convergence theorems of a split common null point problem and a fixed point problem in hilbert spaces
    Truong M.T.
    Nguyen T.T.T.
    Nguyen M.T.
    Applied Set-Valued Analysis and Optimization, 2020, 2 (02): : 205 - 222
  • [49] STRONG CONVERGENCE THEOREMS FOR COMMON ATTRACTIVE POINTS OF WIDELY MORE GENERALIZED HYBRID MAPPINGS IN HILBERT SPACES
    Thongpaen, Panadda
    Suantai, Suthep
    Inthakon, Warunun
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (04) : 715 - 722
  • [50] The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces
    Xin-Fang Zhang
    Lin Wang
    Zhao Li Ma
    Li Juan Qin
    Journal of Inequalities and Applications, 2015