Existence of a solution for generalized vector variational inequalities

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	Existence of a solution for generalized vector variational inequalities
	Chen, GY ; Goh, CJ ; Yang, XQ
	2001
发表期刊	OPTIMIZATION
ISSN	0233-1934
卷号	50 期号:1-2 页码:1-15
摘要	It 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.
关键词	vector variational inequality quasi-vector variational inequality cone-quasi-convexity nonlinear scalarization
语种	英语
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000171494600001
出版者	GORDON BREACH PUBLISHING, TAYLOR & FRANCIS GROUP
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16494
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, XQ
作者单位	1.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
推荐引用方式 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.