Solvability of variational inequality problems

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	Solvability of variational inequality problems
	Han, J ; Huang, ZH ; Fang, SC
	2004-09-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	122 期号:3 页码:501-520
摘要	This paper presents the new concept of exceptional family of elements for the variational inequality problem with a continuous function over a general unbounded closed convex set. We establish a characterization theorem that can be used to derive several new existence and compactness conditions on the solution set. Our findings generalize well-known results for various types of variational inequality problems. For a pseudomonotone variational inequality problem, our new existence conditions are both sufficient and necessary.
关键词	variational inequalities complementarity problems exceptional family of elements existence theorems
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:000224061600004
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/19406
专题	中国科学院数学与系统科学研究院
通讯作者	Han, J
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China 2.Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China 3.N Carolina State Univ, Raleigh, NC 27695 USA
推荐引用方式 GB/T 7714	Han, J,Huang, ZH,Fang, SC. Solvability of variational inequality problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2004,122(3):501-520.
APA	Han, J,Huang, ZH,&Fang, SC.(2004).Solvability of variational inequality problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,122(3),501-520.
MLA	Han, J,et al."Solvability of variational inequality problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 122.3(2004):501-520.