| A Relaxed Inertial Method for Solving Monotone Inclusion Problems with Applications | |
Zong, Chunxiang1; Tang, Yuchao2; Zhang, GF(张国凤)1 | |
| 2024-04 | |
| Source Publication | SYMMETRY-BASEL Impact Factor & Quartile Of Published Year The Latest Impact Factor & Quartile |
| EISSN | 2073-8994 |
| Volume | 16Issue:4 |
| page numbers | 20 |
| Abstract | We study a relaxed inertial forward-backward-half-forward splitting approach with variable step size to solve a monotone inclusion problem involving a maximal monotone operator, a cocoercive operator, and a monotone Lipschitz operator. The convergence of the sequence of iterations generated by the discretisations of a continuous-time dynamical system is established under suitable conditions. Given the challenges associated with computing the resolvent of the composite operator, the proposed method is employed to tackle the composite monotone inclusion problem. Additionally, a convergence analysis is conducted under certain conditions. To demonstrate the effectiveness of the algorithm, numerical experiments are performed on the image deblurring problem. |
| Keyword | forward-backward-half-forward splitting method relaxed parameters inertial skill primal-dual idea |
| Publisher | MDPI |
| DOI | 10.3390/sym16040466 |
| Indexed By | SCIE |
| Language | 英语 |
| WOS Research Area | Science & Technology - Other Topics |
| WOS Subject | Multidisciplinary Sciences |
| WOS ID | WOS:001221394900001 |
| Original Document Type | Article |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | https://ir.lzu.edu.cn/handle/262010/592411 |
| Collection | 兰州大学 数学与统计学院 |
| Affiliation | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China; 2.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China |
| First Author Affilication | School of Mathematics and Statistics |
| First Signature Affilication | School of Mathematics and Statistics |
| Recommended Citation GB/T 7714 | Zong, Chunxiang,Tang, Yuchao,Zhang, Guofeng. A Relaxed Inertial Method for Solving Monotone Inclusion Problems with Applications[J]. SYMMETRY-BASEL,2024,16(4). |
| APA | Zong, Chunxiang,Tang, Yuchao,&Zhang, Guofeng.(2024).A Relaxed Inertial Method for Solving Monotone Inclusion Problems with Applications.SYMMETRY-BASEL,16(4). |
| MLA | Zong, Chunxiang,et al."A Relaxed Inertial Method for Solving Monotone Inclusion Problems with Applications".SYMMETRY-BASEL 16.4(2024). |
| Files in This Item: | |||||
| File Name/Size | DocType | Version | Access | License | |
| Zong-2024-A Relaxed （1381KB） | 期刊论文 | 出版稿 | 限制开放 | CC BY-NC-SA | Application Full Text |
