PARALLEL PROJECTION METHOD FOR SOLVING SPLIT EQUILIBRIUM PROBLEMS

被引：0
|
作者：
Gibali A. [1 ,2 ]
Suleiman Y.I. [3 ]
机构：
[1] Department of Mathematics, ORT Braude College, P.O. Box 78, Karmiel
[2] The Center for Mathematics and Scientific Computation, U. Haifa, Mt. Carmel, Haifa
[3] Department of Mathematics, Kano University of Science and Technology, Wudil
来源：
Journal of Applied and Numerical Optimization | 2022年 / 4卷 / 02期
关键词：
Bilevel problems; Parallel projections; Pseudomonotone bifunctions; Split equilibrium problems;
D O I：
10.23952/jano.4.2022.2.04
中图分类号：
学科分类号：
摘要：
In this paper, we study a class of bilevel multiple-sets split pseudomonotone equilibrium problems in real Hilbert spaces. A new parallel projection method is presented and a strong convergence theorem for solving the problem is established under mild assumptions. Our result is general and extends several existing results in the literature. © 2022 Journal of Applied and Numerical Optimization.
引用
收藏
页码：161 / 173
页数：12
相关论文
共 50 条
  • [1] PROJECTION METHODS FOR SOLVING SPLIT EQUILIBRIUM PROBLEMS
    Dang Van Hieu
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2020, 16 (05) : 2331 - 2349
  • [2] The Shrinking Projection Method for Solving Split Best Proximity Point and Equilibrium Problems
    Suantai, Suthep
    Tiammee, Jukrapong
    FILOMAT, 2021, 35 (04) : 1133 - 1140
  • [3] A Modified Inertial Shrinking Projection Method for Solving Inclusion Problems and Split Equilibrium Problems in Hilbert Spaces
    Cholamjiak, Watcharaporn
    Khan, Suhel Ahmad
    Suantai, Suthep
    COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS, 2019, 10 (02): : 191 - 213
  • [4] On descent-projection method for solving the split feasibility problems
    Bnouhachem, Abdellah
    Noor, Muhammad Aslam
    Khalfaoui, Mohamed
    Sheng Zhaohan
    JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (03) : 627 - 639
  • [5] On descent-projection method for solving the split feasibility problems
    Abdellah Bnouhachem
    Muhammad Aslam Noor
    Mohamed Khalfaoui
    Sheng Zhaohan
    Journal of Global Optimization, 2012, 54 : 627 - 639
  • [6] INEXACT SIMULTANEOUS PROJECTION METHOD FOR SOLVING BILEVEL EQUILIBRIUM PROBLEMS
    Anh, Pham Ngoc
    Van Hong, Nguyen
    Gibali, Aviv
    FIXED POINT THEORY, 2023, 24 (02): : 487 - 506
  • [7] A gradient projection method for solving split equality and split feasibility problems in Hilbert spaces
    Phan Tu Vuong
    Strodiot, Jean Jacques
    Van Hien Nguyen
    OPTIMIZATION, 2015, 64 (11) : 2321 - 2341
  • [8] A NEW INERTIAL-PROJECTION METHOD FOR SOLVING SPLIT GENERALIZED MIXED EQUILIBRIUM AND HIERARCHICAL FIXED POINT PROBLEMS
    Oyewole, Olawale Kazeem
    Mewomo, Oluwatosin Temitope
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2024, 48 (02): : 199 - 223
  • [9] REGULARIZED PROJECTION METHOD OF SOLVING SPLIT SYSTEM OF FIXED POINT SET CONSTRAINT EQUILIBRIUM PROBLEMS IN REAL HILBERT SPACE
    Gebrie, Anteneh Getachew
    Wangkeeree, Rabian
    FIXED POINT THEORY, 2021, 22 (01): : 169 - 188
  • [10] A new method for solving split equality problems via projection dynamical systems
    Tan, Zengzhen
    Hu, Rong
    Fang, Yaping
    NUMERICAL ALGORITHMS, 2021, 86 (04) : 1705 - 1719
12345