A self-adaptive forward-backward-forward algorithm for solving split variational inequalities

被引：1
|
作者：
Yin, Tzu-Chien [1 ]
Hussain, Nawab [2 ]
Asiri, Asim [2 ]
机构：
[1] China Med Univ, Res Ctr Interneural Comp, China Med Univ Hosp, Taichung 40402, Taiwan
[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2023年 / 39卷 / 02期
关键词：
Split variational inequality; quasimonotone operator; forward-backward-forward algorithm; self-adaptive rule; PROXIMAL POINT ALGORITHM; ITERATIVE ALGORITHMS; WEAK-CONVERGENCE; PROJECTION METHODS;
D O I：
10.37193/CJM.2023.02.15
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider an iterative approximation problem of split variational inequalities in Hilbert spaces. In order to solve this split problem, we construct an iterative algorithm which combines a forward-backward-forward method and a self-adaptive rule to update the step-sizes. We prove that the constructed algorithm converges strongly to a solution of the split variational inequalities under some mild assumptions.
引用
收藏
页码：553 / 567
页数：15
相关论文
共 50 条
  • [21] A SELF-ADAPTIVE HYBRID STEEPEST DESCENT ALGORITHM FOR SOLVING A CLASS OF VARIATIONAL INEQUALITIES
    He, Songnian
    Liu, Lili
    Qin, Xiaolong
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018, 2018 (01):
  • [22] A Relaxed Forward-Backward-Forward Algorithm with Alternated Inertial Step: Weak and Linear Convergence
    Yekini Shehu
    Lulu Liu
    Qiao-Li Dong
    Jen-Chih Yao
    Networks and Spatial Economics, 2022, 22 : 959 - 990
  • [23] Self-adaptive Forward–Backward Contraction-type Methods for Generalized Split Feasibility Problems
    Chinedu Izuchukwu
    Lateef Olakunle Jolaoso
    Monday Ogudu Nnakwe
    Godwin Chidi Ugwunnadi
    Abdul Rahim Khan
    Mediterranean Journal of Mathematics, 2022, 19
  • [24] A CURRENT FORWARD-BACKWARD-FORWARD METHOD FOR INCLUSION PROBLEMS
    Kankam, Kunrada
    Cholamjiak, Prasit
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [25] A Self-Adaptive Step Size Algorithm for Solving Variational Inequalities with the Split Feasibility Problem with Multiple Output Sets Constraints
    Tran Luu Cuong
    Tran Viet Anh
    Le Huynh My Van
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2022, 43 (09) : 1009 - 1026
  • [26] A Relaxed Forward-Backward-Forward Algorithm with Alternated Inertial Step: Weak and Linear Convergence
    Shehu, Yekini
    Liu, Lulu
    Dong, Qiao-Li
    Yao, Jen-Chih
    NETWORKS & SPATIAL ECONOMICS, 2022, 22 (04): : 959 - 990
  • [27] A Forward-Backward-Forward Differential Equation and its Asymptotic Properties
    Banert, Sebastian
    Bot, Radu Ioan
    JOURNAL OF CONVEX ANALYSIS, 2018, 25 (02) : 371 - 388
  • [28] A self-adaptive method for solving general mixed variational inequalities
    Bnouhachem, A
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 309 (01) : 136 - 150
  • [29] A self-adaptive method for solving a system of nonlinear variational inequalities
    Shi, Chaofeng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2007, 2007
  • [30] Self-adaptive Forward-Backward Contraction-type Methods for Generalized Split Feasibility Problems
    Izuchukwu, Chinedu
    Jolaoso, Lateef Olakunle
    Nnakwe, Monday Ogudu
    Ugwunnadi, Godwin Chidi
    Khan, Abdul Rahim
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (05)
12345