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.
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页数：21
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