An inertial self-adaptive algorithm for the generalized split common null point problem in Hilbert spaces

被引：0
作者：
Truong Minh Tuyen
Pongsakorn Sunthrayuth
Nguyen Minh Trang
机构：
[1] Thai Nguyen University of Sciences,Department of Mathematics and Informatics
[2] Rajamangala University of Technology Thanyaburi (RMUTT),Department of Mathematics and Computer Science, Faculty of Science and Technology
[3] Thai Nguyen University of Technology,Faculty of International training
来源：
Rendiconti del Circolo Matematico di Palermo Series 2 | 2022年 / 71卷
关键词：
Maximal monotone operator; Hilbert space; Strong convergence; Self adaptive method; 47H09; 47H10; 47J25; 47J05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose an inertial self-adaptive algorithm for solving the generalized split common null point problem introduced by Reich and Tuyen (Optimization 69(5): 1013–1038, 2020). The strong convergence theorem of our proposed method is established in real Hilbert spaces. As applications, we apply our main result to the generalized split feasibility problem, the generalized split equilibrium problem and the generalized split minimization problem. Finally, we provide numerical experiments to show the efficiency and advantage of the proposed method.
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页码：537 / 557
页数：20
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