S-strictly quasi-concave vector maximisation
文献类型：期刊论文
| 作者 | Dong, HB; Gong, XH; Wang, SY; Coladas, L |
| 刊名 | BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2003-06-01 |
| 卷号 | 67期号:3页码:429-443 |
| ISSN号 | 0004-9727 |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183957700008 |
| 出版者 | AUSTRALIAN MATHEMATICS PUBL ASSOC INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18445]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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