Strong convergence and bounded perturbation resilience of a modified proximal gradient algorithm
文献类型：期刊论文
| 作者 | Guo,Yanni; Cui,Wei |
| 刊名 | Journal of Inequalities and Applications
 |
| 出版日期 | 2018-05-02 |
| 卷号 | 2018期号:1 |
| 关键词 | Strong convergence Bounded perturbation resilience Modified proximal gradient algorithm Viscosity approximation Convex minimization problem |
| ISSN号 | 1029-242X |
| DOI | 10.1186/s13660-018-1695-x |
| 英文摘要 | AbstractThe proximal gradient algorithm is an appealing approach in finding solutions of non-smooth composite optimization problems, which may only has weak convergence in the infinite-dimensional setting. In this paper, we introduce a modified proximal gradient algorithm with outer perturbations in Hilbert space and prove that the algorithm converges strongly to a solution of the composite optimization problem. We also discuss the bounded perturbation resilience of the basic algorithm of this iterative scheme and illustrate it with an application. |
| 语种 | 英语 |
| WOS记录号 | BMC:10.1186/S13660-018-1695-X |
| 出版者 | Springer International Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/416]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Guo,Yanni |
| 作者单位 | |
| 推荐引用方式 GB/T 7714 | Guo,Yanni,Cui,Wei. Strong convergence and bounded perturbation resilience of a modified proximal gradient algorithm[J]. Journal of Inequalities and Applications,2018,2018(1). |
| APA | Guo,Yanni,&Cui,Wei.(2018).Strong convergence and bounded perturbation resilience of a modified proximal gradient algorithm.Journal of Inequalities and Applications,2018(1). |
| MLA | Guo,Yanni,et al."Strong convergence and bounded perturbation resilience of a modified proximal gradient algorithm".Journal of Inequalities and Applications 2018.1(2018). |
入库方式： OAI收割
来源：数学与系统科学研究院
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