AN ALTERNATED INERTIAL ALGORITHM FOR EQUILIBRIA AND NONEXPANSIVE MAPPINGS IN HILBERT SPACES

被引:0
|
作者
Xue, Hongxia [1 ]
Shang, Meijuan [2 ]
机构
[1] Zhengzhou Univ Aeronaut, Sch Math, Zhengzhou, Peoples R China
[2] Hebei Normal Univ, Dept Math, Shijiazhuang, Peoples R China
关键词
Inertial algorithm; nonexpansive mapping; resolvent; strictly pseudo- contractive mapping; zero point; PSEUDOMONOTONE VARIATIONAL-INEQUALITIES; STRONG-CONVERGENCE THEOREMS; WEAK-CONVERGENCE; FIXED-POINTS; ACCRETIVE-OPERATORS; APPROXIMATION;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The focus of this paper is on equilibrium problems as well as combination with fixed point problems of nonexpansive mappings. We introduce an alternated inertial iterative scheme establish the weak convergence of the inertial algorithm under some standard assumptions in real Hilbert spaces.
引用
收藏
页码:373 / 385
页数:13
相关论文
共 50 条
  • [31] Modified viscosity implicit rules for nonexpansive mappings in Hilbert spaces
    Cai, Gang
    Shehu, Yekini
    Iyiola, Olaniyi Samuel
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (04) : 2831 - 2846
  • [32] An Iterative Method for an Infinite Family of Nonexpansive Mappings in Hilbert Spaces
    Qin, Xiaolong
    Cho, Yeol Je
    Kang, Shin Min
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2009, 32 (02) : 161 - 171
  • [33] Alternated multi-step inertial iterative algorithm for solving the split feasibility problem in Hilbert spaces
    Wang, Meiying
    Liu, Hongwei
    Yang, Jun
    COMPUTATIONAL & APPLIED MATHEMATICS, 2025, 44 (01):
  • [34] General alternative regularization methods for nonexpansive mappings in Hilbert spaces
    Caiping Yang
    Songnian He
    Fixed Point Theory and Applications, 2014
  • [35] Hybrid iterative algorithms for nonexpansive and nonspreading mappings in Hilbert spaces
    Shenghua Wang
    Fixed Point Theory and Applications, 2013
  • [36] The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
    Ke, Yifen
    Ma, Changfeng
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [37] Hybrid iterative algorithms for nonexpansive and nonspreading mappings in Hilbert spaces
    Wang, Shenghua
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [38] General alternative regularization methods for nonexpansive mappings in Hilbert spaces
    Yang, Caiping
    He, Songnian
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [39] Hybrid Noor iteration method for nonexpansive mappings in Hilbert spaces
    Huang, Jianhua
    Shen, Jinliang
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) : 1755 - 1761
  • [40] An inertial iterative algorithm for generalized equilibrium problems and Bregman relatively nonexpansive mappings in Banach spaces
    Monairah Alansari
    Mohammad Farid
    Rehan Ali
    Journal of Inequalities and Applications, 2022