A PROXIMAL ALGORITHM FOR SOLVING SPLIT MONOTONE VARIATIONAL INCLUSIONS

被引：0
|
作者：
Zhao, Xiaopeng [1 ]
Yao, Jen-Chih [2 ]
Yao, Yonghong [1 ,3 ]
机构：
[1] Tianjin Polytech Univ, Sch Math Sci, Tianjin 300387, Peoples R China
[2] China Med Univ, Ctr Gen Educ, Taichung, Taiwan
[3] North Minzu Univ, Key Lab Intelligent Informat & Big Data Proc Ning, Yinchuan 750021, Ningxia, Peoples R China
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2020年 / 82卷 / 03期
基金：
中国国家自然科学基金;
关键词：
maximal monotone operator; split monotone variational inclusion; resolvent operator; averaged operator; FIXED-POINT PROBLEM; ITERATIVE ALGORITHMS; PROJECTION METHODS; STRONG-CONVERGENCE; INEQUALITY; OPERATORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the split monotone variational inclusion problem in Hilbert spaces. We suggest a proximal algorithm for finding a solution of the split monotone variational inclusion problem. Strong convergence theorem is given under some mild conditions.
引用
收藏
页码：43 / 52
页数：10
相关论文
共 50 条
  • [1] 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
  • [2] Proximal algorithm for solving monotone variational inclusion
    Zhang, Cuijie
    Wang, Yinan
    OPTIMIZATION, 2018, 67 (08) : 1197 - 1209
  • [3] A hybrid proximal point algorithm for solving the general variational inclusions with (A,η)-maximal monotone operators
    Chen, Jun-Min
    Fan, Tie-Gang
    Li, Xue-Fei
    INTERNATIONAL JOINT CONFERENCE ON COMPUTATIONAL SCIENCES AND OPTIMIZATION, VOL 2, PROCEEDINGS, 2009, : 783 - +
  • [4] Split Monotone Variational Inclusions
    A. Moudafi
    Journal of Optimization Theory and Applications, 2011, 150 : 275 - 283
  • [5] Split Monotone Variational Inclusions
    Moudafi, A.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (02) : 275 - 283
  • [6] STRONG CONVERGENCE OF AN ALGORITHM FOR SOLVING SPLIT VARIATIONAL INCLUSIONS
    Yu, Youli
    Yin, Tzu-Chien
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (08) : 1843 - 1852
  • [7] A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions
    Dey, Soumitra
    NUMERICAL ALGORITHMS, 2023, 93 (01) : 1 - 25
  • [8] A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions
    Soumitra Dey
    Numerical Algorithms, 2023, 93 : 1 - 25
  • [9] Regularization Proximal Method for Monotone Variational Inclusions
    Van Hieu, Dang
    Anh, Pham Ky
    Ha, Nguyen Hai
    NETWORKS & SPATIAL ECONOMICS, 2021, 21 (04): : 905 - 932
  • [10] Regularization Proximal Method for Monotone Variational Inclusions
    Dang Van Hieu
    Pham Ky Anh
    Nguyen Hai Ha
    Networks and Spatial Economics, 2021, 21 : 905 - 932
12345