KMS Of Academy of mathematics and systems sciences, CAS
Stability results for Ekeland's epsilon variational principle for vector valued functions | |
Chen, GY; Huang, XX | |
1998 | |
Source Publication | MATHEMATICAL METHODS OF OPERATIONS RESEARCH |
ISSN | 1432-2994 |
Volume | 48Issue:1Pages:97-103 |
Abstract | 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. |
Keyword | Ekeland's epsilon-variational principle convergence of a sequence of sets stability of variational principle for vector valued functions |
Language | 英语 |
WOS Research Area | Operations Research & Management Science ; Mathematics |
WOS Subject | Operations Research & Management Science ; Mathematics, Applied |
WOS ID | WOS:000076451700007 |
Publisher | PHYSICA VERLAG GMBH |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/13482 |
Collection | 中国科学院数学与系统科学研究院 |
Affiliation | Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China |
Recommended Citation 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. |
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