Generalized differential properties of the Auslender gap function for variational inequalities

doi:10.1007/s10957-004-1183-y

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	Generalized differential properties of the Auslender gap function for variational inequalities
	Li, SJ ; Hou, SH ; Chen, GY
	2005-03-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	124 期号:3 页码:739-749
摘要	In this note, the Auslender gap function, which is used to formulate a variational inequality into an equivalent minimization problem, is shown to be differentiable in the generalized sense and has a lower contingent derivative under suitable conditions. This enables us to establish necessary and sufficient conditions for the existence of a solution to problems of variational inequalities.
关键词	variational inequalities gap functions lower contingent derivatives
DOI	10.1007/s10957-004-1183-y
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:000227160700011
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1501
专题	中国科学院数学与系统科学研究院
通讯作者	Li, SJ
作者单位	1.Chongqing Univ, Coll Sci, Dept Informat & Comp Sci, Chongqing 630044, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Hou, SH,Chen, GY. Generalized differential properties of the Auslender gap function for variational inequalities[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2005,124(3):739-749.
APA	Li, SJ,Hou, SH,&Chen, GY.(2005).Generalized differential properties of the Auslender gap function for variational inequalities.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,124(3),739-749.
MLA	Li, SJ,et al."Generalized differential properties of the Auslender gap function for variational inequalities".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 124.3(2005):739-749.