Exceptional family of elements for a variational inequality problem and its applications
文献类型：期刊论文
| 作者 | Zhao, YB; Han, J |
| 刊名 | JOURNAL OF GLOBAL OPTIMIZATION
 |
| 出版日期 | 1999-05-01 |
| 卷号 | 14期号:3页码:313-330 |
| 关键词 | complementarity problem exceptional family of elements generalized monotonicity nonlinear variational inequality P-*-mapping |
| ISSN号 | 0925-5001 |
| 英文摘要 | This paper introduces a new concept of exceptional family of elements (abbreviated, exceptional family) for a finite-dimensional nonlinear variational inequality problem. By using this new concept, we establish a general sufficient condition for the existence of a solution to the problem. Such a condition is used to develop several new existence theorems. Among other things, a sufficient and necessary condition for the solvability of pseudo-monotone variational inequality problem is proved. The notion of coercivity of a function and related classical existence theorems for variational inequality are also generalized. Finally, a solution condition for a class of nonlinear complementarity problems with so-called P-*-mappings is also obtained. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000081509100006 |
| 出版者 | KLUWER ACADEMIC PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14855]  |
| 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 | Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, YB,Han, J. Exceptional family of elements for a variational inequality problem and its applications[J]. JOURNAL OF GLOBAL OPTIMIZATION,1999,14(3):313-330. |
| APA | Zhao, YB,&Han, J.(1999).Exceptional family of elements for a variational inequality problem and its applications.JOURNAL OF GLOBAL OPTIMIZATION,14(3),313-330. |
| MLA | Zhao, YB,et al."Exceptional family of elements for a variational inequality problem and its applications".JOURNAL OF GLOBAL OPTIMIZATION 14.3(1999):313-330. |
入库方式： OAI收割
来源：数学与系统科学研究院
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