Stability results for Ekeland's epsilon variational principle for vector valued functions
文献类型：期刊论文
| 作者 | Chen, GY; Huang, XX |
| 刊名 | MATHEMATICAL METHODS OF OPERATIONS RESEARCH
 |
| 出版日期 | 1998 |
| 卷号 | 48期号:1页码:97-103 |
| 关键词 | Ekeland's epsilon-variational principle convergence of a sequence of sets stability of variational principle for vector valued functions |
| ISSN号 | 1432-2994 |
| 英文摘要 | 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. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000076451700007 |
| 出版者 | PHYSICA VERLAG GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13481]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
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。