Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings
文献类型：期刊论文
| 作者 | Rashid, M. H.1,2; Yuan, Ya-xiang2 |
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2022-01-02 |
| 卷号 | 101期号:1页码:14-34 |
| 关键词 | Generalized equation set-valued mappings metrically regular mappings restricted Newton-type method semi-local convergence |
| ISSN号 | 0003-6811 |
| DOI | 10.1080/00036811.2017.1392018 |
| 英文摘要 | Let X and Y be Banach spaces. Let f : X -> Y be a Frechet differentiable function and F: X paired right arrows 2(Y) be a set-valued mapping with closed graph. In this paper, a restricted Newton-type method has been introduced for solving the generalized equations of the form 0 is an element of f(x) + F(x). Under some suitable conditions, we will establish the convergence criteria of the restricted Newton-type method, which ensures the existence and the convergence of any sequence generated by this method. More precisely, when the Frechet derivative of f is continuous and Lipschitz continuous as well as f + F is metrically regular, we analyze the semilocal and local convergence of the restricted Newton-type method. In addition, an example is given to show the reason for considering the metrically regular property instead of Lipschitz-like property of set-valued mapping in this paper. |
| 资助项目 | CAS-President International Fellowship Initiative(PIFI), Chinese Academy of Sciences, China ; National Natural Science Foundation of China[11331012] ; National Natural Science Foundation of China[11321061] ; National Natural Science Foundation of China[11461161005] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000764570600002 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60142]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Rashid, M. H. |
| 作者单位 | 1.Univ Rajshahi, Fac Sci, Dept Math, Rajshahi, Bangladesh 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Rashid, M. H.,Yuan, Ya-xiang. Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings[J]. APPLICABLE ANALYSIS,2022,101(1):14-34. |
| APA | Rashid, M. H.,&Yuan, Ya-xiang.(2022).Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings.APPLICABLE ANALYSIS,101(1),14-34. |
| MLA | Rashid, M. H.,et al."Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings".APPLICABLE ANALYSIS 101.1(2022):14-34. |
入库方式： OAI收割
来源：数学与系统科学研究院
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