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Exceptional families and existence theorems for variational inequality problems
Zhao, YB; Han, JY; Qi, HD
1999-05-01
Source PublicationJOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN0022-3239
Volume101Issue:2Pages:475-495
AbstractThis 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.
Keywordvariational inequalities convex programming complementarity problems exceptional families existence theorems
Language英语
WOS Research AreaOperations Research & Management Science ; Mathematics
WOS SubjectOperations Research & Management Science ; Mathematics, Applied
WOS IDWOS:000080670400011
PublisherKLUWER ACADEMIC/PLENUM PUBL
Citation statistics
Cited Times:42[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14763
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China
2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China
Recommended Citation
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.
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