Extended projection methods for monotone variational inequalities

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	Extended projection methods for monotone variational inequalities
	Zhao, YB
	1999
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	100 期号:1 页码:219-231
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.
关键词	monotone variational inequalities projection methods global convergence two-mapping variational inequality problems
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000079237200012
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14523
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.