Monotonicity of fixed point and normal mappings associated with variational inequality and its application

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	Monotonicity of fixed point and normal mappings associated with variational inequality and its application
	Zhao, YB ; Li, D
	2001-04-24
发表期刊	SIAM JOURNAL ON OPTIMIZATION
ISSN	1052-6234
卷号	11 期号:4 页码:962-973
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.
关键词	variational inequalities cocoercive maps (strongly) monotone maps fixed point and normal maps iterative algorithm
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000169069900006
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16322
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.