STRONG CONVERGENCE OF AN ITERATE FOR SOLVING THE SPLIT EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS

被引:0
|
作者
Yao, Zhangsong [1 ]
Zhu, Zhichuan [2 ]
机构
[1] Nanjing Xiaozhuang Univ, Sch Informat Engn, Nanjing 211171, Peoples R China
[2] Liaoning Univ, Sch Econ, Shenyang 110136, Liaoning, Peoples R China
关键词
Split equilibrium problem; split fixed point problem; pseudomonotone; monotone; pseudocontractive; VARIATIONAL INEQUALITY; EXTRAGRADIENT ALGORITHM; NONEXPANSIVE-MAPPINGS; PROJECTION METHODS; SYSTEMS; THEOREM;
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 investigate the split equilibrium problems and fixed point problems. Especially, the equilibrium bifunctions are pseudomonotone and monotone, respectively, and the fixed point operators are all pseudocontractive. We propose an iterative algorithm for solving such problem and prove its strong convergence under some mild assumptions.
引用
收藏
页码:1627 / 1638
页数:12
相关论文
共 50 条
  • [1] WEAK CONVERGENCE OF A NEW ITERATE FOR SOLVING SPLIT FIXED POINT PROBLEMS
    Zhao, Yufei
    Yao, Yonghong
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2023, 85 (02): : 43 - 50
  • [2] WEAK CONVERGENCE OF A NEW ITERATE FOR SOLVING SPLIT FIXED POINT PROBLEMS
    Zhao, Yufei
    Yao, Yonghong
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2023, 85 (02): : 43 - 50
  • [3] Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems
    Zhu, Li-Jun
    Kuo, Hsun-Chih
    Wen, Ching-Feng
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [4] Strong Convergence Algorithm for Split Equilibrium Problems and Hierarchical Fixed Point Problems
    Bnouhachem, Abdellah
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [5] This Strong and weak convergence theorems for split equilibrium problems and fixed point problems in Banach spaces
    Guo, Baohua
    Ping, Ping
    Zhao, Haiqing
    Cho, Yeol Je
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 2886 - 2901
  • [6] Strong Convergence Theorem on Split Equilibrium and Fixed Point Problems in Hilbert Spaces
    Wang, Shenghua
    Gong, Xiaoying
    Kang, Shinmin
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (03) : 1309 - 1326
  • [7] Strong Convergence Theorem on Split Equilibrium and Fixed Point Problems in Hilbert Spaces
    Shenghua Wang
    Xiaoying Gong
    Shinmin Kang
    [J]. Bulletin of the Malaysian Mathematical Sciences Society, 2018, 41 : 1309 - 1326
  • [8] Weak and strong convergence of inertial algorithms for solving split common fixed point problems
    Hong-Yi Chen
    [J]. Journal of Inequalities and Applications, 2021
  • [9] Weak and strong convergence of inertial algorithms for solving split common fixed point problems
    Chen, Hong-Yi
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [10] A strong convergence theorem for solving the split feasibility and fixed point problems in Banach spaces
    Truong Minh Tuyen
    Nguyen Song Ha
    [J]. Journal of Fixed Point Theory and Applications, 2018, 20