An inertial forward–backward splitting method for solving inclusion problems in Hilbert spaces

被引：0
|
作者：
Watcharaporn Cholamjiak
Prasit Cholamjiak
Suthep Suantai
机构：
[1] University of Phayao,School of Science
[2] Chiang Mai University,Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science
来源：
Journal of Fixed Point Theory and Applications | 2018年 / 20卷
关键词：
Inertial method; inclusion problem; maximal monotone operator; forward–backward algorithm; Hilbert space; 47H04; 47H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, our interest is in investigating the monotone inclusion problems in the framework of real Hilbert spaces. For solving this problem, we propose an inertial forward–backward splitting algorithm involving an extrapolation factor. We then prove its strong convergence under some mild conditions. Finally, we provide some applications including the numerical experiments for supporting our main theorem.
引用
收藏
相关论文
共 50 条
  • [21] Two-step inertial forward-reflected-anchored-backward splitting algorithm for solving monotone inclusion problems
    Izuchukwu, Chinedu
    Aphane, Maggie
    Aremu, Kazeem Olalekan
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (08):
  • [22] Shrinking projection methods involving inertial forward–backward splitting methods for inclusion problems
    Suhel Ahmad Khan
    Suthep Suantai
    Watcharaporn Cholamjiak
    [J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 645 - 656
  • [23] A NEW INERTIAL FORWARD-BACKWARD SPLITTING ALGORITHM FOR SOLVING MONOTONE INCLUSION PROBLEM AND APPLICATIONS
    Puttharak, Phopgao
    Peeyada, Pronpat
    Cholamjiak, Prasit
    Cholamjiak, Watcharaporn
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (07) : 1659 - 1671
  • [24] An inertially constructed forward–backward splitting algorithm in Hilbert spaces
    Yasir Arfat
    Poom Kumam
    Muhammad Aqeel Ahmad Khan
    Parinya Sa Ngiamsunthorn
    Attapol Kaewkhao
    [J]. Advances in Difference Equations, 2021
  • [25] An inertial Mann forward-backward splitting algorithm of variational inclusion problems and its applications
    Peeyada, Pronpat
    Suparatulatorn, Raweerote
    Cholamjiak, Watcharaporn
    [J]. CHAOS SOLITONS & FRACTALS, 2022, 158
  • [26] Shrinking projection methods involving inertial forward-backward splitting methods for inclusion problems
    Khan, Suhel Ahmad
    Suantai, Suthep
    Cholamjiak, Watcharaporn
    [J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (02) : 645 - 656
  • [27] Strong convergence of the forward-backward splitting method with multiple parameters in Hilbert spaces
    Wang, Yamin
    Wang, Fenghui
    [J]. OPTIMIZATION, 2018, 67 (04) : 493 - 505
  • [28] Inertial forward-backward splitting method in Banach spaces with application to compressed sensing
    Prasit Cholamjiak
    Yekini Shehu
    [J]. Applications of Mathematics, 2019, 64 : 409 - 435
  • [29] Inertial forward-backward splitting method in Banach spaces with application to compressed sensing
    Cholamjiak, Prasit
    Shehu, Yekini
    [J]. APPLICATIONS OF MATHEMATICS, 2019, 64 (04) : 409 - 435
  • [30] TWO-STEP INERTIAL HALPERN-TYPE FORWARD-BACKWARD SPLITTING ALGORITHM FOR MONOTONE INCLUSIONS PROBLEMS IN HILBERT SPACES
    Rao, Y.
    Wang, T.
    Lv, P.
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (02) : 419 - 428
12345