Extended projection methods for monotone variational inequalities
文献类型：期刊论文
| 作者 | Zhao, YB |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 1999 |
| 卷号 | 100期号:1页码:219-231 |
| 关键词 | monotone variational inequalities projection methods global convergence two-mapping variational inequality problems |
| ISSN号 | 0022-3239 |
| 英文摘要 | In this paper, we prove that each monotone variational inequality is equivalent to a two-mapping variational inequality problem. On the basis of this fact, a new class of iterative methods for the solution of nonlinear monotone variational inequality problems is presented. The global convergence of the proposed methods is established under the monotonicity assumption. The conditions concerning the implementability of the algorithms are also discussed. The proposed methods have a close relationship to the Douglas-Rachford operator splitting method for monotone variational inequalities. |
| 语种 | 英语 |
| WOS记录号 | WOS:000079237200012 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14522]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, YB |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, YB. Extended projection methods for monotone variational inequalities[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,1999,100(1):219-231. |
| APA | Zhao, YB.(1999).Extended projection methods for monotone variational inequalities.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,100(1),219-231. |
| MLA | Zhao, YB."Extended projection methods for monotone variational inequalities".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 100.1(1999):219-231. |
入库方式： OAI收割
来源：数学与系统科学研究院
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