Near-subconvexlikeness in vector optimization with set-valued functions
文献类型：期刊论文
| 作者 | Yang, XM; Li, D; Wang, SY |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2001-08-01 |
| 卷号 | 110期号:2页码:413-427 |
| 关键词 | set-valued functions vector optimization nearly-subconvexlike functions theorems of the alternative scalarization Lagrangian multiplier theorem |
| ISSN号 | 0022-3239 |
| 英文摘要 | A new class of generalized convex set-valued functions, termed nearly-subconvexlike functions, is introduced. This class is a generalization of cone-subconvexlike maps, nearly-convexlike set-valued functions, and preinvex set-valued functions. Properties for the nearly-subconvexlike functions are derived and a theorem of the alternative is proved. A Lagrangian multiplier theorem is established and two scalarization theorems are obtained for vector optimization. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000170581700009 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16069]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, XM |
| 作者单位 | 1.Chongqing Normal Univ, Dept Math, Chongqing, Peoples R China 2.Chinese Univ Hong Kong, Dept Syst Engn & Engn Management, Shatin, Hong Kong, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, XM,Li, D,Wang, SY. Near-subconvexlikeness in vector optimization with set-valued functions[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2001,110(2):413-427. |
| APA | Yang, XM,Li, D,&Wang, SY.(2001).Near-subconvexlikeness in vector optimization with set-valued functions.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,110(2),413-427. |
| MLA | Yang, XM,et al."Near-subconvexlikeness in vector optimization with set-valued functions".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 110.2(2001):413-427. |
入库方式： OAI收割
来源：数学与系统科学研究院
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