Solvability of variational inequality problems
文献类型:期刊论文
作者 | Han, J; Huang, ZH; Fang, SC |
刊名 | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
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出版日期 | 2004-09-01 |
卷号 | 122期号:3页码:501-520 |
关键词 | variational inequalities complementarity problems exceptional family of elements existence theorems |
ISSN号 | 0022-3239 |
英文摘要 | This paper presents the new concept of exceptional family of elements for the variational inequality problem with a continuous function over a general unbounded closed convex set. We establish a characterization theorem that can be used to derive several new existence and compactness conditions on the solution set. Our findings generalize well-known results for various types of variational inequality problems. For a pseudomonotone variational inequality problem, our new existence conditions are both sufficient and necessary. |
WOS研究方向 | Operations Research & Management Science ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000224061600004 |
出版者 | KLUWER ACADEMIC/PLENUM PUBL |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19405] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Han, J |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing, Peoples R China 2.Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China 3.N Carolina State Univ, Raleigh, NC 27695 USA |
推荐引用方式 GB/T 7714 | Han, J,Huang, ZH,Fang, SC. Solvability of variational inequality problems[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,2004,122(3):501-520. |
APA | Han, J,Huang, ZH,&Fang, SC.(2004).Solvability of variational inequality problems.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS,122(3),501-520. |
MLA | Han, J,et al."Solvability of variational inequality problems".JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 122.3(2004):501-520. |
入库方式: OAI收割
来源:数学与系统科学研究院
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