Exceptional families and existence theorems for variational inequality problems
文献类型：期刊论文
| 作者 | Zhao, YB; Han, JY; Qi, HD |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 1999-05-01 |
| 卷号 | 101期号:2页码:475-495 |
| 关键词 | variational inequalities convex programming complementarity problems exceptional families existence theorems |
| ISSN号 | 0022-3239 |
| 英文摘要 | This paper introduces the concept of exceptional family for nonlinear variational inequality problems. Among other things, we show that the nonexistence of an exceptional family is a sufficient condition for the existence of a solution to variational inequalities. This sufficient condition is weaker than many known solution conditions and it is also necessary for pseudomonotone variational inequalities. From the results in this paper, we believe that the concept of exceptional families of variational inequalities provides a new powerful tool for the study of the existence theory for variational inequalities. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000080670400011 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14762]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, YB |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing, Peoples R China 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, YB,Han, JY,Qi, HD. Exceptional families and existence theorems for variational inequality problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,1999,101(2):475-495. |
| APA | Zhao, YB,Han, JY,&Qi, HD.(1999).Exceptional families and existence theorems for variational inequality problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,101(2),475-495. |
| MLA | Zhao, YB,et al."Exceptional families and existence theorems for variational inequality problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 101.2(1999):475-495. |
入库方式： OAI收割
来源：数学与系统科学研究院
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