Self-adaptive inertial subgradient extragradient algorithm for solving pseudomonotone variational inequalities

被引：34
|
作者：
Yang, Jun [1 ,2 ]
机构：
[1] Xianyang Normal Univ, Sch Math & Informat Sci, Xianyang, Peoples R China
[2] Xidian Univ, Sch Math & Stat, Xian, Peoples R China
来源：
APPLICABLE ANALYSIS | 2021年 / 100卷 / 05期
关键词：
Variational inequalities; projection; subgradient extragradient method; pseudomonotone mapping; convex set;
D O I：
10.1080/00036811.2019.1634257
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce an inertial algorithm for solving classical variational inequalities with Lipschitz continuous and pseudomonotone mapping in real Hilbert space. The algorithm is inspired by subgradient extragradient method and the inertial method with a new step size. The convergence of algorithm is established without the knowledge of the Lipschitz constant of the mapping. Finally, some numerical experiments are presented to show the efficiency and advantage of the proposed algorithm.
引用
收藏
页码：1067 / 1078
页数：12
相关论文
共 50 条
  • [41] Strong convergence of inertial subgradient extragradient algorithm for solving pseudomonotone equilibrium problems
    Duong Viet Thong
    Prasit Cholamjiak
    Michael T. Rassias
    Yeol Je Cho
    Optimization Letters, 2022, 16 : 545 - 573
  • [42] Self-adaptive inertial extragradient algorithms for solving variational inequality problems
    Bing Tan
    Jingjing Fan
    Songxiao Li
    Computational and Applied Mathematics, 2021, 40
  • [43] Modified self-adaptive projection method for solving pseudomonotone variational inequalities
    Yu, Zeng
    Shao, Hu
    Wang, Guodong
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (20) : 8052 - 8060
  • [44] CONVERGENCE ANALYSIS OF AN INERTIAL TSENG'S EXTRAGRADIENT ALGORITHM FOR SOLVING PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND APPLICATIONS
    Liu, Liya
    Cho, Sun Young
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2021, 5 (04): : 627 - 644
  • [45] A Self-Adaptive Extragradient Algorithm for Solvin Quasimonotone Variational Inequalities
    Zhu, Li-Jun
    Yin, Tzu-Chien
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [46] Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems
    Uzor, Victor Amarachi
    Alakoya, Timilehin Opeyemi
    Mewomo, Oluwatosin Temitope
    OPEN MATHEMATICS, 2022, 20 (01): : 234 - 257
  • [47] Convergence of a subgradient extragradient algorithm for solving monotone variational inequalities
    Yang, Jun
    Liu, Hongwei
    Li, Guaiwei
    NUMERICAL ALGORITHMS, 2020, 84 (01) : 389 - 405
  • [48] Convergence of a subgradient extragradient algorithm for solving monotone variational inequalities
    Jun Yang
    Hongwei Liu
    Guaiwei Li
    Numerical Algorithms, 2020, 84 : 389 - 405
  • [49] An explicit subgradient extragradient algorithm with self-adaptive stepsize for pseudomonotone equilibrium problems in Banach spaces
    Jolaoso, Lateef Olakunle
    Aphane, Maggie
    NUMERICAL ALGORITHMS, 2022, 89 (02) : 583 - 610
  • [50] IMPROVED SUBGRADIENT EXTRAGRADIENT METHODS WITH SELF-ADAPTIVE STEPSIZES FOR VARIATIONAL INEQUALITIES IN HILBERT SPACES
    Jolaoso, L. O.
    Qin, X.
    Shehu, Y.
    Yao, J-C
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (08) : 1591 - 1614
12345