An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

被引：1
|
作者：
Yin, Tzu-Chien [1 ]
Wu, Yan-Kuen [2 ]
Wen, Ching-Feng [3 ,4 ]
机构：
[1] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 40402, Taiwan
[2] Zhejiang Yuexiu Univ Foreign Languages, Sch Int Business, Shaoxing Key Lab Intelligent Monitoring & Prevent, Shaoxing City, Zhejiang, Peoples R China
[3] Kaohsiung Med Univ, Ctr Fundamental Sci, Res Ctr Nonlinear Anal & Optimizat, Kaohsiung 80708, Taiwan
[4] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan
来源：
JOURNAL OF MATHEMATICS | 2022年 / 2022卷
关键词：
PROJECTION METHOD; EXTRAGRADIENT METHOD; STRONG-CONVERGENCE; WEAK-CONVERGENCE; GRADIENT METHODS; OPERATORS; MAPPINGS; SYSTEMS;
D O I：
10.1155/2022/8644675
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator. Convergence theorems are shown under some mild conditions. Several corollaries are also obtained.
引用
收藏
页数：9
相关论文
共 50 条
  • [31] Iterative methods for hierarchical common fixed point problems and variational inequalities
    Sahu, D. R.
    Kang, Shin Min
    Sagar, Vidya
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [32] Extragradient Methods for Solving Equilibrium Problems, Variational Inequalities, and Fixed Point Problems
    Jouymandi, Zeynab
    Moradlou, Fridoun
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (11) : 1391 - 1409
  • [33] AN ITERATIVE ALGORITHM FOR THE SPLIT VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS
    Yao, Yonghong
    Qin, Xiaowei
    Shahzad, Naseer
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (04) : 933 - 942
  • [34] A Forward-Backward-Forward Algorithm for Solving Quasimonotone Variational Inequalities
    Yin, Tzu-Chien
    Hussain, Nawab
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [35] Iterative schemes for quasimonotone mixed variational inequalities
    Noor, MA
    OPTIMIZATION, 2001, 50 (1-2) : 29 - 44
  • [36] ON A NEW ALGORITHM FOR SOLVING VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS
    Wang, Fenghui
    Hongtruong Pham
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2019, 3 (02): : 225 - 233
  • [37] Viscosity extragradient algorithms with double inertial extrapolation steps for quasimonotone variational inequalities and fixed point problems
    Li, Panpan
    Xu, Hong-Kun
    Ke, Shanghong
    OPTIMIZATION, 2024,
  • [38] A proximal iterative algorithm for system of generalized nonlinear variational-like inequalities and fixed point problems
    Balooee, Javad
    Chang, Shih-sen
    Yao, Jen-Chih
    APPLICABLE ANALYSIS, 2023, 102 (13) : 3661 - 3688
  • [39] General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems
    Wang, Xiao-Jie
    Ceng, Lu-Chuan
    Hu, Hui-Ying
    Li, Shi-Xiu
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [40] General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems
    Xiao-Jie Wang
    Lu-Chuan Ceng
    Hui-Ying Hu
    Shi-Xiu Li
    Fixed Point Theory and Applications, 2014
12345