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 | |
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. |
条目包含的文件 | 条目无相关文件。 |
个性服务 |
推荐该条目 |
保存到收藏夹 |
查看访问统计 |
导出为Endnote文件 |
谷歌学术 |
谷歌学术中相似的文章 |
[Chen, GY]的文章 |
[Huang, XX]的文章 |
百度学术 |
百度学术中相似的文章 |
[Chen, GY]的文章 |
[Huang, XX]的文章 |
必应学术 |
必应学术中相似的文章 |
[Chen, GY]的文章 |
[Huang, XX]的文章 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论