FORCING STRONG CONVERGENCE OF A VISCOSITY ITERATION FOR NONEXPANSIVE AND COCOERCIVE OPERATORS IN A HILBERT SPACE

被引:0
作者
Li, Wenling [1 ]
Yang, Shengju [1 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Peoples R China
来源
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2022年 / 2022卷
关键词
Variational inequalities; Fixed point; Nearest point projection; Strong convergence; FIXED-POINT PROBLEMS; EQUILIBRIUM PROBLEMS; PROJECTION ALGORITHM; MAPPINGS; THEOREMS; FAMILY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A viscosity iteration is introduced and considered for nonexpansive operators and the variational inequality with cocoercive operators. A common element theorem of strong convergence is established in the setting of Hilbert space without compact restrictions.
引用
收藏
页数:10
相关论文
共 31 条
  • [1] A regularization projection algorithm for various problems with nonlinear mappings in Hilbert spaces
    Bin Dehaish, Buthinah A.
    Latif, Abdul
    Bakodah, Huda O.
    Qin, Xiaolong
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [2] Shrinking projection method for solving inclusion problem and fixed point problem in reflexive Banach spaces
    Chang, Shih-sen
    Yao, J. C.
    Wen, Ching-Feng
    Qin, Li Juan
    [J]. OPTIMIZATION, 2021, 70 (09) : 1921 - 1936
  • [3] A Monotone Bregan Projection Algorithm for Fixed Point and Equilibrium Problems in a Reflexive Banach Space
    Cho, Sun Young
    [J]. FILOMAT, 2020, 34 (05) : 1487 - 1497
  • [4] Cho SY, 2020, J NONLINEAR CONVEX A, V21, P1017
  • [5] A modified inertial shrinking projection method for solving inclusion problems and quasi-nonexpansive multivalued mappings
    Cholamjiak, Watcharaporn
    Pholasa, Nattawut
    Suantai, Suthep
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2018, 37 (05) : 5750 - 5774
  • [6] A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities
    Fan, Jingjing
    Liu, Liya
    Qin, Xiaolong
    [J]. OPTIMIZATION, 2020, 69 (09) : 2199 - 2215
  • [7] EXAMPLE CONCERNING FIXED-POINTS
    GENEL, A
    LINDENSTRAUSS, J
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 1975, 22 (01) : 81 - 92
  • [8] FIXED POINTS OF NONEXPANDING MAPS
    HALPERN, B
    [J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 73 (06) : 957 - &
  • [9] Strong convergence theorems of the CQ method for nonexpansive semigroups
    He, Huimin
    Chen, Rudong
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
  • [10] An Inertial Projection Neural Network for Solving Variational Inequalities
    He, Xing
    Huang, Tingwen
    Yu, Junzhi
    Li, Chuandong
    Li, Chaojie
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (03) : 809 - 814