Optimality conditions for set-valued optimization problems
文献类型：期刊论文
| 作者 | Chen, GY; Jahn, J |
| 刊名 | MATHEMATICAL METHODS OF OPERATIONS RESEARCH
 |
| 出版日期 | 1998 |
| 卷号 | 48期号:2页码:187-200 |
| 关键词 | set-valued optimization generalized contingent epiderivative optimality conditions subgradient |
| ISSN号 | 1432-2994 |
| 英文摘要 | The generalized contingent epiderivative of set-valued maps is introduced in this paper and its relationship to the contingent epiderivative is investigated. A unified necessary and sufficient optimality condition is derived in terms of the generalized contingent epiderivative. The existence of weak subgradients of set-valued maps is proved, and a sufficient optimality condition of set-valued optimization problems is obtained in terms of weak subgradients. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000077227700005 |
| 出版者 | PHYSICA VERLAG GMBH |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/13874]  |
| 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.Univ Erlangen Nurnberg, Inst Appl Math, D-91058 Erlangen, Germany |
| 推荐引用方式 GB/T 7714 | Chen, GY,Jahn, J. Optimality conditions for set-valued optimization problems[J]. MATHEMATICAL METHODS OF OPERATIONS RESEARCH,1998,48(2):187-200. |
| APA | Chen, GY,&Jahn, J.(1998).Optimality conditions for set-valued optimization problems.MATHEMATICAL METHODS OF OPERATIONS RESEARCH,48(2),187-200. |
| MLA | Chen, GY,et al."Optimality conditions for set-valued optimization problems".MATHEMATICAL METHODS OF OPERATIONS RESEARCH 48.2(1998):187-200. |
入库方式： OAI收割
来源：数学与系统科学研究院
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