Characterizations of the Benson proper efficiency for nonconvex vector optimization

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	Characterizations of the Benson proper efficiency for nonconvex vector optimization
	Chen, GY ; Rong, WD
	1998-08-01
发表期刊	JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
ISSN	0022-3239
卷号	98 期号:2 页码:365-384
摘要	Under generalized cone-subconvexlikeness for vector-valued mappings in locally-convex Hausdorff topological vector spaces, a Gordan-form alternative theorem is derived. Some characterizations of the Benson proper effciency under this generalized convexity are established in terms of scalarization, Lagrangian multipliers, saddle-point criterion, and duality.
关键词	generalized cone-subconvexlikeness vector optimization proper efficiency scalarization Lagrangian multipliers saddle-point criterion duality
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:000075051300005
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/13434
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, GY
作者单位	1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Inner Mongolia Univ, Dept Math, Hohhot, Inner Mongolia, Peoples R China
推荐引用方式 GB/T 7714	Chen, GY,Rong, WD. Characterizations of the Benson proper efficiency for nonconvex vector optimization[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,1998,98(2):365-384.
APA	Chen, GY,&Rong, WD.(1998).Characterizations of the Benson proper efficiency for nonconvex vector optimization.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,98(2),365-384.
MLA	Chen, GY,et al."Characterizations of the Benson proper efficiency for nonconvex vector optimization".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 98.2(1998):365-384.