Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps

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	Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps
	Li, ZF; Chen, GY
	1997-11-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	215 期号:2 页码:297-316
摘要	This paper establishes an alternative theorem for generalized inequality-equality systems of set-valued maps. Based on this, several (Lagrange) multiplier type as well as saddle point type necessary and sufficient conditions are obtained for the existence of weak minimizers in Vector optimization of set-valued maps. Lagrange type duality theorems are also derived. (C) 1997 Academic Press.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:A1997YK66500001
出版者	ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28965
专题	中国科学院数学与系统科学研究院
通讯作者	Li, ZF
作者单位	CHINESE ACAD SCI,INST SYST SCI,BEIJING 100080,PEOPLES R CHINA
推荐引用方式 GB/T 7714	Li, ZF,Chen, GY. Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,1997,215(2):297-316.
APA	Li, ZF,&Chen, GY.(1997).Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,215(2),297-316.
MLA	Li, ZF,et al."Lagrangian multipliers, saddle points, and duality in vector optimization of set-valued maps".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 215.2(1997):297-316.