Generalization of an existence theorem for variational inequalities
文献类型：期刊论文
| 作者 | Huang, ZH |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 118期号:3页码:567-585 |
| 关键词 | variational inequalities complementarity problems exceptional family of elements existence theorem |
| ISSN号 | 0022-3239 |
| 英文摘要 | By using the concept of exceptional family of elements, Zhao proposed a new existence theorem for variational inequalities over a general nonempty closed convex set (Ref. 1, Theorem 2.3), which is a generalization of the well-known More's existence theorem for nonlinear complementarity problems. The proof of Theorem 2.3 in Ref. 1 depends strongly on the condition 0epsilonK. Since this condition is rather strict for a general variational inequality, Zhao proposed an open question at the end of Ref. 1: Can the condition 0epsilonK in Theorem 2.3 be removed? In this paper, we answer this open question. Furthermore, we present the new notion of exceptional family of elements and establish a theorem of the alternative, by which we develop two new existence theorems for variational inequalities. Our results generalize the Zhao existence result. |
| 语种 | 英语 |
| WOS记录号 | WOS:000186732200005 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19016]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, ZH |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Huang, ZH. Generalization of an existence theorem for variational inequalities[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2003,118(3):567-585. |
| APA | Huang, ZH.(2003).Generalization of an existence theorem for variational inequalities.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,118(3),567-585. |
| MLA | Huang, ZH."Generalization of an existence theorem for variational inequalities".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 118.3(2003):567-585. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。