KMS Of Academy of mathematics and systems sciences, CAS
| Solvability of variational inequality problems | |
| Han, J; Huang, ZH; Fang, SC | |
| 2004-09-01 | |
| Source Publication | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
 |
| ISSN | 0022-3239 |
| Volume | 122Issue:3Pages:501-520 |
| Abstract | 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. |
| Keyword | variational inequalities complementarity problems exceptional family of elements existence theorems |
| Language | 英语 |
| WOS Research Area | Operations Research & Management Science ; Mathematics |
| WOS Subject | Operations Research & Management Science ; Mathematics, Applied |
| WOS ID | WOS:000224061600004 |
| Publisher | KLUWER ACADEMIC/PLENUM PUBL |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/19406 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Han, J |
| Affiliation | 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 |
| Recommended Citation 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. |
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