Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

被引：5

作者：

Arfat, Yasir ^{[1
]}

Iyiola, Olaniyi S. ^{[2
]}

Khan, Muhammad Aqeel Ahmad ^{[3
]}

Kumam, Poom ^{[1
,4
,5
,6
]}

Kumam, Wiyada ^{[7
]}

Sitthithakerngkiet, Kanokwan ^{[8
]}

机构：

[1] King Mongkuts Univ Technol Thonburi KMUTT, KMUTT Fixed Point Res Lab, KMUTT Fixed Point Theory & Applicat Res Grp, Fac Sci,Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[2] Clarkson Univ, Dept Math, Potsdam, NY USA

[3] COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore 54000, Pakistan

[4] King Mongkuts Univ Technol Thonburi KMUTT, Dept Math, Fachul Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

[5] King Mongkuts Univ Technol Thonburi KMUTT, Dept Math, Fachul Sci, KMUTT Fixed Point Res Lab, Room SCL 802 Fixed Point Lab,Sci Lab Bldg, Bangkok 10140, Thailand

[6] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

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

[8] King Mongkuts Univ Technol North Bangkok KMUTNB, Fac Sci Appl, Dept Math, Intelligent & Nonlinear Dynam Innovat Res Ctr, 1518 Wongsawang, Bangkok 10800, Thailand

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Shrinking approximants; Strong convergence; Fixed point problem; Demimetric operator; Generalized null point problem; PSEUDOMONOTONE VARIATIONAL-INEQUALITIES; PROJECTION METHOD; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHMS; DEMIMETRIC MAPPINGS; FAMILY; OPERATORS; THEOREMS;

D O I：

10.1186/s13660-022-02803-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces. We show that the approximants can be easily adapted to various extensively analyzed theoretical problems in this framework. Finally, we furnish a numerical experiment to analyze the viability of the approximants in comparison with the results presented in (Reich and Tuyen in Rev. R. Acad. Cienc. Exactas Fis. Nat., Ser. A Mat. 114:180, 2020).

引用

页数：21

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