An inertial Mann algorithm for nonexpansive mappings on Hadamard manifolds

被引：5

作者：

Khammahawong, Konrawut ^{[1
]}

Chaipunya, Parin ^{[2
]}

Kumam, Poom ^{[3
,4
]}

机构：

[1] Rajamangala Univ Technol Thanyaburi, Fac Sci & Technol, Appl Math Sci & Engn Res Unit AMSERU, Dept Math & Comp Sci,Program Appl Stat, Pathum Thani 12110, Thailand

[2] King Mongkuts Univ Technol Thonburi, Fixed Point Theory & Applicat Res Grp, Ctr Excellence Theoret & Computat Sci TaCS CoE, NCAO Res Ctr,Fac Sci, Bangkok 10140, Thailand

[3] King Mongkuts Univ Technol Thonburi, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Bangkok 10140, Thailand

[4] King Mongkuts Univ Technol Thonburi, Fac Sci, KMUTT Fixed Point Res Lab, Fixed Point Lab,Sci Lab Bldg,Dept Math, Bangkok 10140, Thailand

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 01期

关键词：

fixed point problem; Hadamard manifold; inertial Mann method; nonexpansive mapping; MAXIMAL MONOTONE-OPERATORS; PROXIMAL POINT ALGORITHM; EQUILIBRIUM PROBLEMS; INCLUSION PROBLEMS; ITERATIVE ALGORITHMS; RIEMANNIAN-MANIFOLDS; VECTOR-FIELDS; FIXED-POINTS; SINGULARITIES; CONVERGENCE;

D O I：

10.3934/math.2023108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An inertial Mann algorithm will be presented in this article with the purpose of approximating a fixed point of a nonexpansive mapping on a Hadamard manifold. Any sequence that is generated by using the proposed approach, under suitable assumptions, converges to fixed points of nonexpansive mappings. The proposed method is also dedicated to solving inclusion and equilibrium problems. Lastly, we give a number of computational experiments that show how well the inertial Mann algorithm works and how it compares to other methods.

引用

页码：2093 / 2116

页数：24

共 50 条

[1] 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
[2] 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,
[3] An inertial Mann algorithm for nonexpansive mappings
Seakweng Vong
Dongdong Liu
[J]. Journal of Fixed Point Theory and Applications, 2018, 20
[4] An inertial Mann algorithm for nonexpansive mappings
Vong, Seakweng
Liu, Dongdong
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
[5] 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
[6] 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
[7] A modified Riemannian Halpern algorithm for nonexpansive mappings on Hadamard manifolds
Yao, Teng-Teng
Li, Ying-Hui
Zhang, Yong-Shuai
Zhao, Zhi
[J]. OPTIMIZATION, 2022, 71 (13) : 3797 - 3817
[8] ITERATIVE ALGORITHMS FOR NONEXPANSIVE MAPPINGS ON HADAMARD MANIFOLDS
Li, Chong
Lopez, Genaro
Martin-Marquez, Victoria
[J]. TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (02): : 541 - 559
[9] Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds
Lopez, Genaro
Martin-Marquez, Victoria
[J]. FIXED-POINT ALGORITHMS FOR INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 49 : 273 - 299
[10] 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

← 1 2 3 4 5 →