Nonconvex vector optimization of set-valued mappings

doi:10.1016/S0022-247X(02)00410-9

	Nonconvex vector optimization of set-valued mappings
	Li, SJ ; Yang, XQ ; Chen, GY
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2003-07-15
卷号	283 期号:2 页码:337-350
关键词	nonconvex optimatity set-valued mapping minimal solution Gerstewitz's nonconvex separation functional
ISSN号	0022-247X
DOI	10.1016/S0022-247X(02)00410-9
英文摘要	In this paper, we discuss properties, such as monotonicity and continuity, of the Gerstewitz's nonconvex separation functional. With the aid of this functional, necessary and sufficient optimality conditions for nonconvex optimization problems of set-valued mappings are obtained in topological vector spaces. (C) 2003 Elsevier Inc. All rights reserved.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000184434600001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18851]
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, XQ
作者单位	1.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China 2.Chongqing Univ, Coll Sci, Dept Math & Appl Math, Chongqing 400045, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, SJ,Yang, XQ,Chen, GY. Nonconvex vector optimization of set-valued mappings[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,283(2):337-350.
APA	Li, SJ,Yang, XQ,&Chen, GY.(2003).Nonconvex vector optimization of set-valued mappings.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,283(2),337-350.
MLA	Li, SJ,et al."Nonconvex vector optimization of set-valued mappings".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 283.2(2003):337-350.