Near-subconvexlikeness in vector optimization with set-valued functions

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	Near-subconvexlikeness in vector optimization with set-valued functions
	Yang, XM ; Li, D ; Wang, SY
	2001-08-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	110 期号:2 页码:413-427
摘要	A new class of generalized convex set-valued functions, termed nearly-subconvexlike functions, is introduced. This class is a generalization of cone-subconvexlike maps, nearly-convexlike set-valued functions, and preinvex set-valued functions. Properties for the nearly-subconvexlike functions are derived and a theorem of the alternative is proved. A Lagrangian multiplier theorem is established and two scalarization theorems are obtained for vector optimization.
关键词	set-valued functions vector optimization nearly-subconvexlike functions theorems of the alternative scalarization Lagrangian multiplier theorem
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:000170581700009
出版者	KLUWER ACADEMIC/PLENUM PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16070
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, XM
作者单位	1.Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China 2.Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Yang, XM,Li, D,Wang, SY. Near-subconvexlikeness in vector optimization with set-valued functions[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2001,110(2):413-427.
APA	Yang, XM,Li, D,&Wang, SY.(2001).Near-subconvexlikeness in vector optimization with set-valued functions.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,110(2),413-427.
MLA	Yang, XM,et al."Near-subconvexlikeness in vector optimization with set-valued functions".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 110.2(2001):413-427.