Benson proper efficiency in the vector optimization of set-valued maps
文献类型：期刊论文
| 作者 | Li, ZF |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 1998-09-01 |
| 卷号 | 98期号:3页码:623-649 |
| 关键词 | set-valued maps vector optimization Benson proper efficiency cone subconvexlikeness proper saddle points |
| ISSN号 | 0022-3239 |
| 英文摘要 | 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. |
| 语种 | 英语 |
| WOS记录号 | WOS:000075715600006 |
| 出版者 | PLENUM PUBL CORP |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13622]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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