Exceptional families and existence theorems for variational inequality problems

CSpace

	Exceptional families and existence theorems for variational inequality problems
	Zhao, YB ; Han, JY ; Qi, HD
	1999-05-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	101 期号:2 页码:475-495
摘要	This paper introduces the concept of exceptional family for nonlinear variational inequality problems. Among other things, we show that the nonexistence of an exceptional family is a sufficient condition for the existence of a solution to variational inequalities. This sufficient condition is weaker than many known solution conditions and it is also necessary for pseudomonotone variational inequalities. From the results in this paper, we believe that the concept of exceptional families of variational inequalities provides a new powerful tool for the study of the existence theory for variational inequalities.
关键词	variational inequalities convex programming complementarity problems exceptional families 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:000080670400011
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/14763
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 Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhao, YB,Han, JY,Qi, HD. Exceptional families and existence theorems for variational inequality problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,1999,101(2):475-495.
APA	Zhao, YB,Han, JY,&Qi, HD.(1999).Exceptional families and existence theorems for variational inequality problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,101(2),475-495.
MLA	Zhao, YB,et al."Exceptional families and existence theorems for variational inequality problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 101.2(1999):475-495.