Benson proper efficiency in the vector optimization of set-valued maps

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	Benson proper efficiency in the vector optimization of set-valued maps
	Li, ZF
	1998-09-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	98 期号:3 页码:623-649
摘要	This paper extends the concept of cone subconvexlikeness of single-valued maps to set-valued maps and presents several equivalent characterizations and an alternative theorem for cone-subconvexlike set-valued maps. The concept and results are then applied to study the Benson proper efficiency for a vector optimization problem with set-valued maps in topological vector spaces. Two scalarization theorems and two Lagrange multiplier theorems are established. After introducing the new concept of proper saddle point for an appropriate set-valued Lagrange map, we use it to characterize the Benson proper efficiency. Lagrange duality theorems are also obtained.
关键词	set-valued maps vector optimization Benson proper efficiency cone subconvexlikeness proper saddle points
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:000075715600006
出版者	PLENUM PUBL CORP
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13623
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	1.Univ Inner Mongolia, Dept Math, Hohhot, Inner Mongolia, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, ZF. Benson proper efficiency in the vector optimization of set-valued maps[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,1998,98(3):623-649.
APA	Li, ZF.(1998).Benson proper efficiency in the vector optimization of set-valued maps.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,98(3),623-649.
MLA	Li, ZF."Benson proper efficiency in the vector optimization of set-valued maps".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 98.3(1998):623-649.