STRONG CONVERGENCE OF A GENERAL ITERATIVE PROCESS IN HILBERT SPACES

被引:0
|
作者
Yang, Yantao [1 ]
机构
[1] Yanan Univ, Coll Math & Comp Sci, Yanan, Peoples R China
关键词
Common fixed point; generalized equilibrium problem; variational in-equality; monotone operator; FIXED-POINT PROBLEMS; VARIATIONAL-INEQUALITIES; NONEXPANSIVE-MAPPINGS; EQUILIBRIUM PROBLEM; WEAK-CONVERGENCE; ALGORITHM; MONOTONE; APPROXIMATION; OPERATORS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate a general iterative process with a strongly positive linear bounded self-adjoint operator for solving a inclusion problem of two maximal monotone operators, a common fixed point problem of an infinite family of nonexpansive mappings, and a generalized equilibrium problem in a Hilbert space.
引用
收藏
页码:1945 / 1957
页数:13
相关论文
共 50 条
  • [1] Strong convergence of a general iterative algorithm in Hilbert spaces
    Songtao Lv
    [J]. Journal of Inequalities and Applications, 2013
  • [2] Strong convergence of a general iterative algorithm in Hilbert spaces
    Lv, Songtao
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [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 THEOREMS OF MODIFIED MANN ITERATIVE PROCESS FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES
    Haifang Liu
    Rudong Chen
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2011, 5 (01): : 141 - 153
  • [7] Strong convergence for an implicit iteration process in Hilbert spaces
    Kim, Gang Eun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 239 : 434 - 437
  • [8] Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces
    Cho, Yeol Je
    Qin, Xiaolong
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 228 (01) : 458 - 465
  • [9] Strong Convergence of Two Iterative Algorithms for Nonexpansive Mappings in Hilbert Spaces
    Yao, Yonghong
    Liou, Yeong Cheng
    Marino, Giuseppe
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [10] Strong convergence of a general iterative method for variational inequality problems and fixed point problems in Hilbert spaces
    Qin, Xiaolong
    Shang, Meijuan
    Zhou, Haiyun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 242 - 253