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Exceptional family of elements for a variational inequality problem and its applications
Zhao, YB; Han, J
1999-05-01
Source PublicationJOURNAL OF GLOBAL OPTIMIZATION
ISSN0925-5001
Volume14Issue:3Pages:313-330
AbstractThis paper introduces a new concept of exceptional family of elements (abbreviated, exceptional family) for a finite-dimensional nonlinear variational inequality problem. By using this new concept, we establish a general sufficient condition for the existence of a solution to the problem. Such a condition is used to develop several new existence theorems. Among other things, a sufficient and necessary condition for the solvability of pseudo-monotone variational inequality problem is proved. The notion of coercivity of a function and related classical existence theorems for variational inequality are also generalized. Finally, a solution condition for a class of nonlinear complementarity problems with so-called P-*-mappings is also obtained.
Keywordcomplementarity problem exceptional family of elements generalized monotonicity nonlinear variational inequality P-*-mapping
Language英语
WOS Research AreaOperations Research & Management Science ; Mathematics
WOS SubjectOperations Research & Management Science ; Mathematics, Applied
WOS IDWOS:000081509100006
PublisherKLUWER ACADEMIC PUBL
Citation statistics
Cited Times:40[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14856
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhao, YB,Han, J. Exceptional family of elements for a variational inequality problem and its applications[J]. JOURNAL OF GLOBAL OPTIMIZATION,1999,14(3):313-330.
APA Zhao, YB,&Han, J.(1999).Exceptional family of elements for a variational inequality problem and its applications.JOURNAL OF GLOBAL OPTIMIZATION,14(3),313-330.
MLA Zhao, YB,et al."Exceptional family of elements for a variational inequality problem and its applications".JOURNAL OF GLOBAL OPTIMIZATION 14.3(1999):313-330.
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