Inertial Subgradient Extragradient Algorithm for Solving Variational Inequality Problems with Pseudomonotonicity

被引：0
|
作者：
Yuwan Ding [1 ]
Hongwei Liu [1 ]
Xiaojun Ma [1 ]
机构：
[1] School of Mathematics and Statistics,Xidian University
来源：
Journal of Harbin Institute of Technology(New series) | 2023年 / 30卷 / 05期
关键词：
D O I：
暂无
中图分类号：
O178 [不等式及其他];
学科分类号：
0701 ; 070101 ;
摘要：
In order to solve variational inequality problems of pseudomonotonicity and Lipschitz continuity in Hilbert spaces, an inertial subgradient extragradient algorithm is proposed by virtue of non-monotone stepsizes. Moreover, weak convergence and R-linear convergence analyses of the algorithm are constructed under appropriate assumptions. Finally, the efficiency of the proposed algorithm is demonstrated through numerical implementations.
引用
收藏
页码：65 / 75
页数：11
相关论文
共 50 条
  • [1] An inertial subgradient extragradient algorithm with adaptive stepsizes for variational inequality problems
    Chang, Xiaokai
    Liu, Sanyang
    Deng, Zhao
    Li, Suoping
    [J]. OPTIMIZATION METHODS & SOFTWARE, 2022, 37 (04): : 1507 - 1526
  • [2] An improved inertial extragradient subgradient method for solving split variational inequality problems
    Chibueze C. Okeke
    [J]. Boletín de la Sociedad Matemática Mexicana, 2022, 28
  • [3] An improved inertial extragradient subgradient method for solving split variational inequality problems
    Okeke, Chibueze C.
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (01):
  • [4] REVISITING INERTIAL SUBGRADIENT EXTRAGRADIENT ALGORITHMS FOR SOLVING BILEVEL VARIATIONAL INEQUALITY PROBLEMS
    Tan, Bing
    Li, Songxiao
    Cho, Sun Young
    [J]. Journal of Applied and Numerical Optimization, 2022, 4 (03): : 425 - 444
  • [5] Inertial Subgradient Extragradient Methods for Solving Variational Inequality Problems and Fixed Point Problems
    Okeke, Godwin Amechi
    Abbas, Mujahid
    de la Sen, Manuel
    [J]. AXIOMS, 2020, 9 (02)
  • [6] Halpern subgradient extragradient algorithm for solving quasimonotone variational inequality problems
    Yotkaew, Pongsakorn
    Rehman, Habib Ur
    Panyanak, Bancha
    Pakkaranang, Nuttapol
    [J]. CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (01) : 249 - 262
  • [7] Inertial subgradient extragradient with projection method for solving variational inequality and fixed point problems
    Maluleka, Rose
    Ugwunnadi, Godwin Chidi
    Aphane, Maggie
    [J]. AIMS MATHEMATICS, 2023, 8 (12): : 30102 - 30119
  • [8] Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    Themistocles M. Rassias
    [J]. Optimization Letters, 2020, 14 : 115 - 144
  • [9] Inertial subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces
    Peng, Zai-Yun
    Peng, Zhi-Ying
    Cai, Gang
    Li, Gao-Xi
    [J]. APPLICABLE ANALYSIS, 2024, 103 (10) : 1769 - 1789
  • [10] Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
    Duong Viet Thong
    Dang Van Hieu
    Rassias, Themistocles M.
    [J]. OPTIMIZATION LETTERS, 2020, 14 (01) : 115 - 144
12345