A recent fixed point method based on two inertial terms

被引:1
作者
Inkrong, Papatsara [1 ]
Paimsang, Papinwich [1 ]
Cholamjiak, Prasit [1 ]
机构
[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand
关键词
Fixed point iteration; Nonexpansive mapping; Inertial extrapolation; Weak convergence; NONEXPANSIVE-MAPPINGS; CONVERGENCE THEOREMS; ALGORITHM; FAMILIES; WEAK;
D O I
10.1007/s41478-024-00845-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We propose a new fixed point method for a family of nonexpansive mappings. Our approach uses two inertial extrapolations and SP iteration to provide a high convergence speed of the proposed algorithm. We establish a weak convergence theorem under mild conditions. Moreover, we conduct numerical tests on signal recovery as practical applications. The experimental results demonstrate that our algorithm has a superior performance compared to other algorithms in the literature.
引用
收藏
页码:521 / 535
页数:15
相关论文
共 50 条
[31]   RELAXED DOUBLE INERTIAL TSENG'S EXTRAGRADIENT METHOD FOR SOLVING NON-LIPSCHITZ SPLIT MONOTONE VARIATIONAL INCLUSION PROBLEMS WITH FIXED POINT CONSTRAINTS [J].
Mewomo, Oluwatosin Temitope ;
Godwin, Emeka Chigaemezu ;
Alakoya, Timilehin Opeyemi .
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2024, 20 (04) :1318-1350
[32]   Inertial iterative method with self-adaptive step size for finite family of split monotone variational inclusion and fixed point problems in Banach spaces [J].
Ogwo, Grace N. ;
Alakoya, Timilehin O. ;
Mewomo, Oluwatosin T. .
DEMONSTRATIO MATHEMATICA, 2022, 55 (01) :193-216
[33]   Inertial KM-type extragradient scheme for solving a variational inequality and a hierarchical fixed point problems [J].
AlNemer, Ghada ;
Ali, Rehan ;
Kazmi, K. R. .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[34]   Recent contributions to fixed point theory of monotone mappings [J].
Bachar, M. ;
Khamsi, M. A. .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (03) :1953-1976
[35]   VISCOSITY METHOD FOR HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES [J].
Xu, Hong-Kun .
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (02) :463-478
[36]   Inertial Halpern-type Tseng's method for approximating a solution to monotone inclusion problems with fixed point constraint [J].
Ogwo, Grace Nnennaya ;
Zinsou, Bertin ;
Abass, Hammed Anuoluwapo ;
Oyewole, Olawale Kazeem .
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2025, 74 (01)
[37]   Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems [J].
Alakoya, T. O. ;
Jolaoso, L. O. ;
Mewomo, O. T. .
OPTIMIZATION, 2021, 70 (03) :545-574
[38]   Solving equilibrium and fixed-point problems in Hilbert spaces: a new strongly convergent inertial subgradient extragradient method [J].
Rehman, Habib Ur ;
Ghosh, Debdas ;
Izuchukwu, Chinedu ;
Zhao, Xiaopeng .
OPTIMIZATION, 2025,
[39]   Krasnoselski-Mann-type inertial method for solving split generalized mixed equilibrium and hierarchical fixed point problems [J].
Chuasuk, Preeyanuch ;
Kaewcharoen, Anchalee .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[40]   Inertial iterative method for solving generalized equilibrium, variational inequality, and fixed point problems of multivalued mappings in Banach space [J].
Aldosary, Saud Fahad ;
Farid, Mohammad .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2024, 2024 (01)