Regularization Proximal Method for Monotone Variational Inclusions

被引：4
|
作者：
Van Hieu, Dang [1 ]
Anh, Pham Ky [2 ]
Ha, Nguyen Hai [3 ]
机构：
[1] Thang Long Univ, TIMAS, Hanoi, Vietnam
[2] Vietnam Natl Univ, Dept Math, Hanoi, Vietnam
[3] Univ Transport & Commun, Fac Basic Sci, Hanoi, Vietnam
来源：
NETWORKS & SPATIAL ECONOMICS | 2021年 / 21卷 / 04期
关键词：
Variational inclusion; Iterative method; Regularization; Monotonicity; BACKWARD SPLITTING METHOD; CONTRACTION METHODS; PROJECTION; ALGORITHM; EXTRAGRADIENT; INEQUALITIES; OPERATORS;
D O I：
10.1007/s11067-021-09552-7
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The paper concerns with a new iterative method for solving a monotone variational inclusion problem in a Hilbert space. The method is of the proximal contraction type incorporated with the regularization technique. Under the prediction stepsize conditions, we establish the strong convergence of the iterative sequences generated by the method to a particular solution of the problem satisfying a variational inequality problem. Finally, we give some numerical examples to illustrate the behavior of the new method in comparison with existing ones.
引用
收藏
页码：905 / 932
页数：28
相关论文
共 50 条
  • [1] Regularization Proximal Method for Monotone Variational Inclusions
    Dang Van Hieu
    Pham Ky Anh
    Nguyen Hai Ha
    Networks and Spatial Economics, 2021, 21 : 905 - 932
  • [2] A proximal algorithm for solving split monotone variational inclusions
    School of Mathematical Sciences, Tianjin Polytechnic University, Tianjin
    300387, China
    不详
    不详
    750021, China
    1600, Politechnica University of Bucharest, Splaiul Independentei 313 - Sector 6, Bucharest, 77206, Romania (82): : 43 - 52
  • [3] A PROXIMAL ALGORITHM FOR SOLVING SPLIT MONOTONE VARIATIONAL INCLUSIONS
    Zhao, Xiaopeng
    Yao, Jen-Chih
    Yao, Yonghong
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (03): : 43 - 52
  • [4] AN ACCELERATED REGULARIZATION METHOD FOR VARIATIONAL INCLUSIONS
    Ha, Nguyen Hai
    Hieu, DANG VAN
    Muu, Le Dung
    Journal of Applied and Numerical Optimization, 2024, 6 (01): : 97 - 113
  • [5] A NEURAL NETWORK METHOD FOR MONOTONE VARIATIONAL INCLUSIONS
    Dey, Soumitra
    Vetrivel, V.
    Xu, Hong-Kun
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (11) : 2387 - 2395
  • [6] A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions
    Dey, Soumitra
    NUMERICAL ALGORITHMS, 2023, 93 (01) : 1 - 25
  • [7] A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions
    Soumitra Dey
    Numerical Algorithms, 2023, 93 : 1 - 25
  • [8] An iterative method for split hierarchical monotone variational inclusions
    Ansari, Qamrul Hasan
    Rehan, Aisha
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [9] An iterative method for split hierarchical monotone variational inclusions
    Qamrul Hasan Ansari
    Aisha Rehan
    Fixed Point Theory and Applications, 2015
  • [10] Split Monotone Variational Inclusions
    A. Moudafi
    Journal of Optimization Theory and Applications, 2011, 150 : 275 - 283
12345