Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces

被引：4
|
作者：
Xie, Zhongbing [1 ]
Cai, Gang [1 ]
Dong, Qiao-Li [2 ]
机构：
[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
[2] Civil Aviat Univ China, Tianjin Key Lab Adv Signal Proc & Coll Sci, Tianjin 300300, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2023年 / 93卷 / 01期
关键词：
Banach space; Bregman projection; Pseudomonotone operator; Strong convergence; Variational inequality; FIXED-POINT; EXTRAGRADIENT ALGORITHM;
D O I：
10.1007/s11075-022-01414-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper aims to introduce a new projection method for solving pseudomonotone variational inequality problems in real reflexive Banach spaces. The main algorithm is based on the self-adaptive method, subgradient extragradient method and Bregman projection method. Under some appropriate assumptions imposed on the parameters, we prove a strong convergence theorem of the proposed algorithm. Finally, several numerical examples are given to show that our method has better convergence performance than the known results in the literatures.
引用
收藏
页码：269 / 294
页数：26
相关论文
共 50 条
  • [41] Strong convergence of double-projection method for variational inequality problems
    Van Hieu, Dang
    Quy, Pham Kim
    Duong, Hoang Ngoc
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (03):
  • [42] Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces
    Kimura, Yasunori
    Nakajo, Kazuhide
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [43] Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
    Reich, Simeon
    Sabach, Shoham
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (01) : 122 - 135
  • [44] Strong convergence of hybrid Bregman projection algorithm for split feasibility and fixed point problems in Banach spaces
    Chen, Jin-Zuo
    Hu, Hui-Ying
    Ceng, Lu-Chuan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 192 - 204
  • [45] Strong Convergence Theorems for Quasi-Bregman Nonexpansive Mappings in Reflexive Banach Spaces
    Alghamdi, Mohammed Ali
    Shahzad, Naseer
    Zegeye, Habtu
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [46] Two Bregman Projection Methods for Solving Variational Inequality Problems in Hilbert Spaces with Applications to Signal Processing
    Jolaoso, Lateef Olakunle
    Aphane, Maggie
    Khan, Safeer Hussain
    SYMMETRY-BASEL, 2020, 12 (12): : 1 - 20
  • [47] Strong convergence of Bregman projection algorithms for solving split feasibility problems
    Liu, Liya
    Li, Songxiao
    Tan, Bing
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2025, 140
  • [48] A Bregman subgradient extragradient method with self-adaptive technique for solving variational inequalities in reflexive Banach spaces
    Jolaoso, L. O.
    Oyewole, O. K.
    Aremu, K. O.
    OPTIMIZATION, 2022, 71 (13) : 3835 - 3860
  • [49] A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces
    Khuangsatung, Wongvisarut
    Kangtunyakarn, Atid
    TAMKANG JOURNAL OF MATHEMATICS, 2022, 53 (01): : 23 - 36
  • [50] 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.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (03) : 327 - 338
12345