An inertial Mann algorithm for nonexpansive mappings

被引：0
|
作者：
Seakweng Vong
Dongdong Liu
机构：
[1] University of Macau,Department of Mathematics
[2] Avenida da Universidade,School of Applied Mathematics
[3] Guangdong University of Technology,undefined
来源：
Journal of Fixed Point Theory and Applications | 2018年 / 20卷
关键词：
47H09; 47J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider finding fixed point of nonexpansive mappings by Mann algorithms combined with inertial extrapolation and some accelerating techniques. Previous attempts for such approach require assumptions on the generated sequence to guarantee convergence. Such assumptions are not easy to check in practice. Inspired by some recent works, we refine the algorithm to get rid of the previous assumptions imposed on the sequence with improved efficiency.
引用
收藏
相关论文
共 50 条
  • [1] An inertial Mann algorithm for nonexpansive mappings
    Vong, Seakweng
    Liu, Dongdong
    [J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
  • [2] An inertial Mann algorithm for nonexpansive mappings on Hadamard manifolds
    Khammahawong, Konrawut
    Chaipunya, Parin
    Kumam, Poom
    [J]. AIMS MATHEMATICS, 2023, 8 (01): : 2093 - 2116
  • [3] Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
    Dong, Q. L.
    Yuan, H. B.
    Cho, Y. J.
    Rassias, Th. M.
    [J]. OPTIMIZATION LETTERS, 2018, 12 (01) : 87 - 102
  • [4] Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
    Q. L. Dong
    H. B. Yuan
    Y. J. Cho
    Th. M. Rassias
    [J]. Optimization Letters, 2018, 12 : 87 - 102
  • [5] A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds
    Yao, Teng-Teng
    Jin, Xiao-Qing
    Zhao, Zhi
    [J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2023, 16 (04) : 954 - 967
  • [6] A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds
    Yao, Teng-Teng
    Jin, Xiao-Qing
    Zhao, Zhi
    [J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2023,
  • [7] An inertial mann-like algorithm for fixed points of nonexpansive mappings in hilbert spaces
    Tan B.
    Cho S.Y.
    [J]. Cho, Sun Young (sycho@gntech.ac.kr), 1600, Biemdas Academic Publishers (02): : 335 - 351
  • [8] Robustness of Mann's algorithm for nonexpansive mappings
    Kim, Tae-Hwa
    Xu, Hong-Kun
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (02) : 1105 - 1115
  • [9] Strong Convergence of Modified Inertial Mann Algorithms for Nonexpansive Mappings
    Tan, Bing
    Zhou, Zheng
    Li, Songxiao
    [J]. MATHEMATICS, 2020, 8 (04)
  • [10] Mann's algorithm for nonexpansive mappings in CAT(κ) spaces
    He, J. S.
    Fang, D. H.
    Lopez, G.
    Li, C.
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) : 445 - 452
12345