Approximation results for split equilibrium problems and fixed point problems of nonexpansive semigroup in Hilbert spaces

被引：14

作者：

Arfat, Yasir ^{[1
]}

Kumam, Poom ^{[1
,2
,3
]}

Ngiamsunthorn, Parinya Sa ^{[4
]}

Khan, Muhammad Aqeel Ahmad ^{[5
]}

Sarwar, Hammad ^{[5
]}

Fukhar-ud-Din, Hafiz ^{[6
]}

机构：

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

[2] King Mongkuts Univ Technol Thonburi KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, Sci Lab Bldg,126 Pracha Uthit Rd, Bangkok 10140, Thailand

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

[4] King Mongkuts Univ Technol Thonburi KMUTT, Dept Math, Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

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

[6] Islamia Univ Bahawalpur, Dept Math, Baghdad Campus, Bahawalpur 63100, Pakistan

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期

关键词：

Extragradient method; Split equilibrium problem; Fixed point problem; Nonexpansive semigroup; Weak and strong convergence; 47H05; 47H09; 47J05; 49H05; STRONG-CONVERGENCE THEOREM; VARIATIONAL-INEQUALITIES; MAPPINGS; PROJECTION; SETS;

D O I：

10.1186/s13662-020-02956-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a modified extragradient method for computing a common solution to the split equilibrium problem and fixed point problem of a nonexpansive semigroup in real Hilbert spaces. The weak and strong convergence characteristics of the proposed algorithm are investigated by employing suitable control conditions in such a setting of spaces. As a consequence, we provide a simplified analysis of various existing results concerning the extragradient method in the current literature. We also provide a numerical example to strengthen the theoretical results and the applicability of the proposed algorithm.

引用

页数：21

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