On well-posed mutually nearest and mutually furthest point problems in Banach spaces
文献类型：期刊论文
| 作者 | Li, C; Ni, RX |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2004-02-01 |
| 卷号 | 20期号:1页码:147-156 |
| 关键词 | mutually nearest point mutually furthest point well posedness dense G(delta)-subset |
| ISSN号 | 1439-8516 |
| 英文摘要 | Let G be a non-empty closed (resp. bounded closed) boundedly relatively weakly compact subset in a strictly convex Kadec Banach space X. Let K(X) denote the space of all non-empty compact Convex Subsets of X endowed with the Hausdorff distance. Moreover, let K-G(X) denote the closure of the set {A is an element of K(X) : A boolean AND G = empty set}. We prove that the set of all A is an element of K-G(X) (resp. A is an element of K(X)), such that the minimization (resp. maximization) problem min(A, G) (resp. max(A, G)) is well posed, contains a dense G(delta)-subset of K-G(X) (resp. K(X)), thus extending the recent results due to Blasi, Myjak and Papini and Li. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221646200014 |
| 出版者 | SPRINGER-VERLAG HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/683]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, C |
| 作者单位 | 1.Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, C,Ni, RX. On well-posed mutually nearest and mutually furthest point problems in Banach spaces[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(1):147-156. |
| APA | Li, C,&Ni, RX.(2004).On well-posed mutually nearest and mutually furthest point problems in Banach spaces.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(1),147-156. |
| MLA | Li, C,et al."On well-posed mutually nearest and mutually furthest point problems in Banach spaces".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.1(2004):147-156. |
入库方式： OAI收割
来源：数学与系统科学研究院
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