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Existence theorems of solution to variational inequality problems
Zhang, LP; Han, JY; Xu, DC
2001-02-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN1006-9283
Volume44Issue:2Pages:212-219
AbstractThis 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.
Keywordexceptional family variational inequality complementarity problem P-0-function
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000167195800008
PublisherSCIENCE PRESS
Citation statistics
Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16118
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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