Modified subgradient extragradient method for variational inequality problems

被引：0
|
作者：
Duong Viet Thong
Dang Van Hieu
机构：
[1] Ton Duc Thang University,Applied Analysis Research Group, Faculty of Mathematics and Statistics
[2] College of Air Force,Department of Mathematics
来源：
Numerical Algorithms | 2018年 / 79卷
关键词：
Subgradient extragradient method; Extragradient method; Inertial method; Variational inequality problem; 47H09; 47H10; 47J20; 47J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard assumptions imposed on cost operators. The proposed algorithm can be considered as an improvement of the previously known inertial extragradient method over each computational step. The performance of the proposed algorithm is also illustrated by several preliminary numerical experiments.
引用
收藏
页码：597 / 610
页数：13
相关论文
共 50 条
  • [1] Modified subgradient extragradient method for variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    NUMERICAL ALGORITHMS, 2018, 79 (02) : 597 - 610
  • [2] Accelerated Subgradient Extragradient Methods for Variational Inequality Problems
    Duong Viet Thong
    Nguyen The Vinh
    Cho, Yeol Je
    JOURNAL OF SCIENTIFIC COMPUTING, 2019, 80 (03) : 1438 - 1462
  • [3] Accelerated Subgradient Extragradient Methods for Variational Inequality Problems
    Duong Viet Thong
    Nguyen The Vinh
    Yeol Je Cho
    Journal of Scientific Computing, 2019, 80 : 1438 - 1462
  • [4] Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems
    Duong Viet Thong
    Dang Van Hieu
    OPTIMIZATION, 2018, 67 (01) : 83 - 102
  • [5] A MODIFIED PARALLEL HYBRID SUBGRADIENT EXTRAGRADIENT METHOD OF VARIATIONAL INEQUALITY PROBLEMS
    Kitisak, Ponkamon
    Cholamjiak, Watcharaporn
    Yambangwai, Damrongsak
    Jaidee, Ritthicha
    THAI JOURNAL OF MATHEMATICS, 2020, 18 (01): : 261 - 274
  • [6] A modified subgradient extragradient method for solving the variational inequality problem
    Qiao-Li Dong
    Dan Jiang
    Aviv Gibali
    Numerical Algorithms, 2018, 79 : 927 - 940
  • [7] A modified subgradient extragradient method for solving the variational inequality problem
    Dong, Qiao-Li
    Jiang, Dan
    Gibali, Aviv
    NUMERICAL ALGORITHMS, 2018, 79 (03) : 927 - 940
  • [8] On the convergence of inertial two-subgradient extragradient method for variational inequality problems
    Cao, Yu
    Guo, Ke
    OPTIMIZATION, 2020, 69 (06) : 1237 - 1253
  • [9] A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    OPTIMIZATION, 2020, 69 (06) : 1313 - 1334
  • [10] Modified Inertial Subgradient Extragradient Method with Regularization for Variational Inequality and Null Point Problems
    Song, Yanlai
    Bazighifan, Omar
    MATHEMATICS, 2022, 10 (14)
12345