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Existence of a solution for generalized vector variational inequalities
Chen, GY; Goh, CJ; Yang, XQ
2001
Source PublicationOPTIMIZATION
ISSN0233-1934
Volume50Issue:1-2Pages:1-15
AbstractIt is known that vector variational inequality models arise from vector optimization and vector traffic equilibria. In this paper, existence results of a solution for a generalized vector pre-variational inequality and a generalized vector pre-quasi-variational inequality are established. The main condition used is that the underlying vector-valued function is assumed to be cone-quasi-convex. The main techniques employed are a nonlinear scalarization and fixed point theorems.
Keywordvector variational inequality quasi-vector variational inequality cone-quasi-convexity nonlinear scalarization
Language英语
WOS Research AreaOperations Research & Management Science ; Mathematics
WOS SubjectOperations Research & Management Science ; Mathematics, Applied
WOS IDWOS:000171494600001
PublisherGORDON BREACH PUBLISHING, TAYLOR & FRANCIS GROUP
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/16494
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYang, XQ
Affiliation1.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
3.Univ Auckland, Dept Math, Auckland 1, New Zealand
Recommended Citation
GB/T 7714
Chen, GY,Goh, CJ,Yang, XQ. Existence of a solution for generalized vector variational inequalities[J]. OPTIMIZATION,2001,50(1-2):1-15.
APA Chen, GY,Goh, CJ,&Yang, XQ.(2001).Existence of a solution for generalized vector variational inequalities.OPTIMIZATION,50(1-2),1-15.
MLA Chen, GY,et al."Existence of a solution for generalized vector variational inequalities".OPTIMIZATION 50.1-2(2001):1-15.
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