An Extension of Subgradient Method for Variational Inequality Problems in Hilbert Space

被引:6
|
作者
Wang, Xueyong [1 ]
Li, Shengjie [1 ]
Kou, Xipeng [1 ]
机构
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
基金
中国国家自然科学基金;
关键词
NONEXPANSIVE-MAPPINGS; EXTRAGRADIENT METHOD; WEAK-CONVERGENCE; MONOTONE MAPPINGS; THEOREMS; POINTS;
D O I
10.1155/2013/531912
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An extension of subgradient method for solving variational inequality problems is presented. A new iterative process, which relates to the fixed point of a nonexpansive mapping and the current iterative point, is generated. A weak convergence theorem is obtained for three sequences generated by the iterative process under some mild conditions.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] Strong convergence of inertial subgradient extragradient method for solving variational inequality in Banach space
    Khan, A. R.
    Ugwunnadi, G. C.
    Makukula, Z. G.
    Abbas, M.
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (03) : 327 - 338
  • [32] Modified Inertial Subgradient Extragradient Method with Regularization for Variational Inequality and Null Point Problems
    Song, Yanlai
    Bazighifan, Omar
    [J]. MATHEMATICS, 2022, 10 (14)
  • [33] The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
    Yang, Jun
    Liu, Hongwei
    [J]. OPTIMIZATION LETTERS, 2020, 14 (07) : 1803 - 1816
  • [34] The subgradient extragradient method extended to pseudomonotone equilibrium problems and fixed point problems in Hilbert space
    Jun Yang
    Hongwei Liu
    [J]. Optimization Letters, 2020, 14 : 1803 - 1816
  • [35] Weak convergence theorem for variational inequality problems with monotone mapping in Hilbert space
    Tian, Ming
    Jiang, Bing-Nan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [36] Weak convergence theorem for variational inequality problems with monotone mapping in Hilbert space
    Ming Tian
    Bing-Nan Jiang
    [J]. Journal of Inequalities and Applications, 2016
  • [37] Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems
    Duong Viet Thong
    Dang Van Hieu
    [J]. OPTIMIZATION, 2018, 67 (01) : 83 - 102
  • [38] MODIFIED SUBGRADIENT EXTRAGRADIENT METHOD FOR A FAMILY OF PSEUDOMONOTONE EQUILIBRIUM PROBLEMS IN REAL A HILBERT SPACE
    Rehman, Habib Ur
    Pakkaranang, Nuttapol
    Kumam, Poom
    Cho, Yeol Je
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (09) : 2011 - 2025
  • [39] A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    [J]. OPTIMIZATION, 2020, 69 (06) : 1313 - 1334
  • [40] S-Iteration inertial subgradient extragradient method for variational inequality and fixed point problems
    Alakoya, T. O.
    Mewomo, O. T.
    [J]. OPTIMIZATION, 2024, 73 (05) : 1477 - 1517