Inertial algorithms for a system of equilibrium problems and fixed point problems

被引：0
|
作者：
Prashanta Majee
Chandal Nahak
机构：
[1] Indian Institute of Technology Kharagpur,Department of Mathematics
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2019年 / 68卷
关键词：
Nonexpansive mapping; Averaged mapping; Equilibrium problem; Fixed point problem; Inertial method; 47H10; 90C33; 47J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce two new algorithms (one parallel and another sequential) with inertial effect for approximating a common solution of a system of equilibrium problems and fixed point problems. Under suitable conditions, we establish weak convergence results for the proposed algorithms. Finally, we give a numerical example to demonstrate the convergence and performance of the proposed algorithms.
引用
收藏
页码：11 / 27
页数：16
相关论文
共 50 条
  • [1] Inertial algorithms for a system of equilibrium problems and fixed point problems
    Majee, Prashanta
    Nahak, Chandal
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2019, 68 (01) : 11 - 27
  • [2] Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems
    Adisak Hanjing
    Suthep Suantai
    Numerical Algorithms, 2020, 85 : 1051 - 1073
  • [3] Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems
    Hanjing, Adisak
    Suantai, Suthep
    NUMERICAL ALGORITHMS, 2020, 85 (03) : 1051 - 1073
  • [4] INERTIAL ALGORITHMS OF COMMON SOLUTIONS FOR VARIATIONAL INEQUALITY, FIXED POINT AND EQUILIBRIUM PROBLEMS
    Li, Haiying
    Wu, Yulian
    Wang, Fenghui
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (05) : 859 - 877
  • [5] Hybrid Inertial Accelerated Algorithms for Solving Split Equilibrium and Fixed Point Problems
    Song, Yanlai
    MATHEMATICS, 2021, 9 (21)
  • [6] ALGORITHMS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS APPROACH TO MINIMIZATION PROBLEMS
    Yao, Yonghong
    Liou, Y. C.
    Wong, M. M.
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (05): : 2073 - 2089
  • [7] Inertial iterative method for solving equilibrium problems and fixed point problems
    Li, Min
    Xie, Zhongbing
    Cholamjiak, Prasit
    Kankam, Kunrada
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (01):
  • [8] Inertial iterative method for solving equilibrium problems and fixed point problems
    Min Li
    Zhongbing Xie
    Prasit Cholamjiak
    Kunrada Kankam
    Computational and Applied Mathematics, 2024, 43
  • [9] ITERATIVE ALGORITHMS FOR NONMONOTONE EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS
    Yao, Zhangsong
    Shahzad, Naseer
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (10) : 2473 - 2485
  • [10] Superimposed algorithms for the split equilibrium problems and fixed point problems
    Zhu, Li-Jun
    Yao, Zhangsong
    Liou, Yeong-Cheng
    Yao, Yonghong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
12345