Existence theorems of solution to variational inequality problems

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	Existence theorems of solution to variational inequality problems
	Zhang, LP ; Han, JY ; Xu, DC
	2001-02-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN	1006-9283
卷号	44 期号:2 页码:212-219
摘要	This paper introduces a new concept of exceptional family for variational inequality problems with a general convex constrained set. By using this new concept, the authors establish a general sufficient condition for the existence of a solution to the problem. This condition is weaker than many known solution conditions and it is also necessary for pseudomonotone variational inequalities. Sufficient solution conditions for a class of nonlinear complementarity problems with P-0 mappings are also obtained.
关键词	exceptional family variational inequality complementarity problem P-0-function
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000167195800008
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16118
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, LP
作者单位	1.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Zhang, LP,Han, JY,Xu, DC. Existence theorems of solution to variational inequality problems[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,2001,44(2):212-219.
APA	Zhang, LP,Han, JY,&Xu, DC.(2001).Existence theorems of solution to variational inequality problems.SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY,44(2),212-219.
MLA	Zhang, LP,et al."Existence theorems of solution to variational inequality problems".SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY 44.2(2001):212-219.