On well-posed mutually nearest and mutually furthest point problems in Banach spaces

CSpace

	On well-posed mutually nearest and mutually furthest point problems in Banach spaces
	Li, C ; Ni, RX
	2004-02-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:1 页码:147-156
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.
关键词	mutually nearest point mutually furthest point well posedness dense G(delta)-subset
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000221646200014
出版者	SPRINGER-VERLAG HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/684
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.