Generalized minimax inequalities for set-valued mappings
文献类型：期刊论文
| 作者 | Li, SJ; Chen, GY; Teo, KL; Yang, XQ |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2003-05-15 |
| 卷号 | 281期号:2页码:707-723 |
| 关键词 | minimax inequality set-valued mapping minimal point maximal point nonlinear scalarization function |
| ISSN号 | 0022-247X |
| DOI | 10.1016/S0022-247X(03)00197-5 |
| 英文摘要 | In this paper, we study generalized minimax inequalities in a Hausdorff topological vector space, in which the minimization and the maximization of a two-variable set-valued mapping are alternatively taken in the sense of vector optimization. We establish two types of minimax inequalities by employing a nonlinear scalarization function and its strict monotonicity property. Our results are obtained under weaker convexity assumptions than those existing in the literature. Several examples are given to illustrate our results. (C) 2003 Elsevier Science (USA). All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183591300023 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18520]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, SJ |
| 作者单位 | 1.Chongqing Univ, Coll Sci, Dept Informat & Comp Sci, Chongqing 400044, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China 3.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, SJ,Chen, GY,Teo, KL,et al. Generalized minimax inequalities for set-valued mappings[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2003,281(2):707-723. |
| APA | Li, SJ,Chen, GY,Teo, KL,&Yang, XQ.(2003).Generalized minimax inequalities for set-valued mappings.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,281(2),707-723. |
| MLA | Li, SJ,et al."Generalized minimax inequalities for set-valued mappings".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 281.2(2003):707-723. |
入库方式： OAI收割
来源：数学与系统科学研究院
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