Stability results for Ekeland's epsilon variational principle for vector valued functions

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	Stability results for Ekeland's epsilon variational principle for vector valued functions
	Chen, GY; Huang, XX
	1998
发表期刊	MATHEMATICAL METHODS OF OPERATIONS RESEARCH
ISSN	1432-2994
卷号	48 期号:1 页码:97-103
摘要	In this paper, under the assumption that the nonconvex vector valued function f satisfies some lower semicontinuity property and bounded below, the nonconvex vector valued function sequence f(n) satisfies the same lower semicontinuity property and uniformly bounded below, and f(n) converges to f in the generalized sense of Mosco, we obtain the relation: root epsilon - ext f = {(x) over bar : f(x) - f((x) over bar) + root epsilon parallel to x - (x) over bar parallel to e is not an element of - C, when x not equal (x) over bar} subset of or equal to <(lim(n -->infinity))under bar> root epsilon - ext f(n) where root epsilon-ext f(n) = {(x) over bar : f(n)(x) - f(n)((x) over bar) + root epsilon parallel to x - (x) over bar parallel to e is not an element of- C, when x not equal (x) over bar}, C is the pointed closed convex dominating cone with nonempty interior int C, e is an element of int C. Under some conditions, we also prove the same result when f(n) converges to fin the generalized sense of Painleve'-Kuratowski.
关键词	Ekeland's epsilon-variational principle convergence of a sequence of sets stability of variational principle for vector valued functions
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:000076451700007
出版者	PHYSICA VERLAG GMBH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13482
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, GY
作者单位	Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, GY,Huang, XX. Stability results for Ekeland's epsilon variational principle for vector valued functions[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH,1998,48(1):97-103.
APA	Chen, GY,&Huang, XX.(1998).Stability results for Ekeland's epsilon variational principle for vector valued functions.MATHEMATICAL METHODS OF OPERATIONS RESEARCH,48(1),97-103.
MLA	Chen, GY,et al."Stability results for Ekeland's epsilon variational principle for vector valued functions".MATHEMATICAL METHODS OF OPERATIONS RESEARCH 48.1(1998):97-103.