An inertial forward–backward splitting method for solving inclusion problems in Hilbert spaces

被引：0

作者：

Watcharaporn Cholamjiak

Prasit Cholamjiak

Suthep Suantai

机构：

[1] University of Phayao,School of Science

[2] Chiang Mai University,Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science

来源：

Journal of Fixed Point Theory and Applications | 2018年 / 20卷

关键词：

Inertial method; inclusion problem; maximal monotone operator; forward–backward algorithm; Hilbert space; 47H04; 47H10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this work, our interest is in investigating the monotone inclusion problems in the framework of real Hilbert spaces. For solving this problem, we propose an inertial forward–backward splitting algorithm involving an extrapolation factor. We then prove its strong convergence under some mild conditions. Finally, we provide some applications including the numerical experiments for supporting our main theorem.

引用

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