S-strictly quasi-concave vector maximisation

CSpace

	S-strictly quasi-concave vector maximisation
	Dong, HB ; Gong, XH ; Wang, SY ; Coladas, L
	2003-06-01
发表期刊	BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
ISSN	0004-9727
卷号	67 期号:3 页码:429-443
摘要	In this paper, we discuss the relationship among the concepts of an S-strictly quasiconcave vector-valued function introduced by Benson and Sun, a C-strongly quasiconcave vector-valued function and a C-strictly quasiconcave vector-valued function in a topological vector space with a lattice ordering. We generalise a main result obtained by Benson and Sun about the closedness of an efficient solution set in multiple objective programming. We prove that an efficient solution set is closed and connected when the objective function is a continuous S-strictly quasiconcave vector-valued function, the objective space is a topological vector lattice and the ordering cone has a nonempty interior.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000183957700008
出版者	AUSTRALIAN MATHEMATICS PUBL ASSOC INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18446
专题	中国科学院数学与系统科学研究院
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Nanchang Univ, Dept Math, Nanchang 330047, Peoples R China 3.Univ Santiago, Dept Stat & Operat Res, Santiago De Compostela 15782, Spain 4.Hunan Univ, Sch Business Adm, Changsha 410082, Hunan, Peoples R China
推荐引用方式 GB/T 7714	Dong, HB,Gong, XH,Wang, SY,et al. S-strictly quasi-concave vector maximisation[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY,2003,67(3):429-443.
APA	Dong, HB,Gong, XH,Wang, SY,&Coladas, L.(2003).S-strictly quasi-concave vector maximisation.BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY,67(3),429-443.
MLA	Dong, HB,et al."S-strictly quasi-concave vector maximisation".BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 67.3(2003):429-443.