Generalized differential properties of the Auslender gap function for variational inequalities
文献类型：期刊论文
| 作者 | Li, SJ; Hou, SH; Chen, GY |
| 刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| 出版日期 | 2005-03-01 |
| 卷号 | 124期号:3页码:739-749 |
| 关键词 | variational inequalities gap functions lower contingent derivatives |
| ISSN号 | 0022-3239 |
| DOI | 10.1007/s10957-004-1183-y |
| 英文摘要 | In this note, the Auslender gap function, which is used to formulate a variational inequality into an equivalent minimization problem, is shown to be differentiable in the generalized sense and has a lower contingent derivative under suitable conditions. This enables us to establish necessary and sufficient conditions for the existence of a solution to problems of variational inequalities. |
| WOS研究方向 | Operations Research & Management Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000227160700011 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1500]  |
| 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 630044, Peoples R China 2.Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China 3.Chinese Acad Sci, Inst Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, SJ,Hou, SH,Chen, GY. Generalized differential properties of the Auslender gap function for variational inequalities[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2005,124(3):739-749. |
| APA | Li, SJ,Hou, SH,&Chen, GY.(2005).Generalized differential properties of the Auslender gap function for variational inequalities.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,124(3),739-749. |
| MLA | Li, SJ,et al."Generalized differential properties of the Auslender gap function for variational inequalities".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 124.3(2005):739-749. |
入库方式： OAI收割
来源：数学与系统科学研究院
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