On vector quasi-equilibrium problems with set-valued maps
文献类型：期刊论文
| 作者 | Hou, SH; Yu, H; Chen, GY |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2003-12-01 |
| 卷号 | 119期号:3页码:485-498 |
| 关键词 | vector quasi-equilibrium problems set-valued maps lower sections C-diagonal quasiconvexity continuous selection fixed points |
| ISSN号 | 0022-3239 |
| 英文摘要 | In this paper, we introduce a new class of vector quasi-equilibrium problems with set-valued maps. Almost all the vector equilibrium models of the Blum-Oettli type in the literature are special cases of our new class of equilibrium problems under consideration. Moreover, a number of C-diagonal quasiconvexity properties are proposed for set-valued maps, which are natural generalizations of the gamma-diagonal quasiconvexity for real functions. Together with an application of continuous selection and fixed-point theorems, these conditions enable us to prove unified existence results of solutions for such vector equilibrium problems. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000186984900003 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18454]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hou, SH |
| 作者单位 | 1.Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hou, SH,Yu, H,Chen, GY. On vector quasi-equilibrium problems with set-valued maps[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2003,119(3):485-498. |
| APA | Hou, SH,Yu, H,&Chen, GY.(2003).On vector quasi-equilibrium problems with set-valued maps.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,119(3),485-498. |
| MLA | Hou, SH,et al."On vector quasi-equilibrium problems with set-valued maps".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 119.3(2003):485-498. |
入库方式： OAI收割
来源：数学与系统科学研究院
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