Monotonicity of fixed point and normal mappings associated with variational inequality and its application
文献类型：期刊论文
| 作者 | Zhao, YB; Li, D |
| 刊名 | SIAM JOURNAL ON OPTIMIZATION
 |
| 出版日期 | 2001-04-24 |
| 卷号 | 11期号:4页码:962-973 |
| 关键词 | variational inequalities cocoercive maps (strongly) monotone maps fixed point and normal maps iterative algorithm |
| ISSN号 | 1052-6234 |
| 英文摘要 | We prove sufficient conditions for the monotonicity and the strong monotonicity of fixed point and normal maps associated with variational inequality problems over a general closed convex set. Sufficient conditions for the strong monotonicity of their perturbed versions are also shown. These results include some well known in the literature as particular instances. Inspired by these results, we propose a modi ed Solodov and Svaiter iterative algorithm for the variational inequality problem whose fixed point map or normal map is monotone. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000169069900006 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16321]  |
| 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 | 1.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 2.Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, YB,Li, D. Monotonicity of fixed point and normal mappings associated with variational inequality and its application[J]. SIAM JOURNAL ON OPTIMIZATION,2001,11(4):962-973. |
| APA | Zhao, YB,&Li, D.(2001).Monotonicity of fixed point and normal mappings associated with variational inequality and its application.SIAM JOURNAL ON OPTIMIZATION,11(4),962-973. |
| MLA | Zhao, YB,et al."Monotonicity of fixed point and normal mappings associated with variational inequality and its application".SIAM JOURNAL ON OPTIMIZATION 11.4(2001):962-973. |
入库方式： OAI收割
来源：数学与系统科学研究院
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