A nonlinear scalarization function and generalized quasi-vector equilibrium problems
文献类型：期刊论文
| 作者 | Chen, GY; Yang, XQ; Yu, H |
| 刊名 | JOURNAL OF GLOBAL OPTIMIZATION
 |
| 出版日期 | 2005-08-01 |
| 卷号 | 32期号:4页码:451-466 |
| 关键词 | existence generalized quasi-vector equilibrium scalarization method |
| ISSN号 | 0925-5001 |
| DOI | 10.1007/s10898-003-2683-2 |
| 英文摘要 | Scalarization method is an important tool in the study of vector optimization as corresponding solutions of vector optimization problems can be found by solving scalar optimization problems. In this paper we introduce a nonlinear scalarization function for a variable domination structure. Several important properties, such as subadditiveness and continuity, of this nonlinear scalarization function are established. This nonlinear scalarization function is applied to study the existence of solutions for generalized quasi-vector equilibrium problems. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000233043400004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1288]  |
| 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.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China 3.Tsing Hua Univ, Sch Econ & Management, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, GY,Yang, XQ,Yu, H. A nonlinear scalarization function and generalized quasi-vector equilibrium problems[J]. JOURNAL OF GLOBAL OPTIMIZATION,2005,32(4):451-466. |
| APA | Chen, GY,Yang, XQ,&Yu, H.(2005).A nonlinear scalarization function and generalized quasi-vector equilibrium problems.JOURNAL OF GLOBAL OPTIMIZATION,32(4),451-466. |
| MLA | Chen, GY,et al."A nonlinear scalarization function and generalized quasi-vector equilibrium problems".JOURNAL OF GLOBAL OPTIMIZATION 32.4(2005):451-466. |
入库方式： OAI收割
来源：数学与系统科学研究院
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