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Solvability of variational inequality problems
Han, J; Huang, ZH; Fang, SC
2004-09-01
Source PublicationJOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN0022-3239
Volume122Issue:3Pages:501-520
AbstractThis 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.
Keywordvariational inequalities complementarity problems exceptional family of elements existence theorems
Language英语
WOS Research AreaOperations Research & Management Science ; Mathematics
WOS SubjectOperations Research & Management Science ; Mathematics, Applied
WOS IDWOS:000224061600004
PublisherKLUWER ACADEMIC/PLENUM PUBL
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/19406
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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