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| Content Provider | Springer Nature Link |
|---|---|
| Author | Liu, Zhi He, Yiran |
| Copyright Year | 2009 |
| Abstract | This paper introduces a new concept of exceptional family of elements for a finite-dimensional generalized variational inequality problem. Based on the topological degree theory of set-valued mappings, an alternative theorem is obtained which says that the generalized variational inequality has either a solution or an exceptional family of elements. As an application, we present a sufficient condition to ensure the existence of a solution to the variational inequality. The set-valued mapping is assumed to be upper semicontinuous with nonempty compact convex values. |
| Starting Page | 465 |
| Ending Page | 471 |
| Page Count | 7 |
| File Format | |
| ISSN | 09255001 |
| Journal | Journal of Global Optimization |
| Volume Number | 48 |
| Issue Number | 3 |
| e-ISSN | 15732916 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2009-12-10 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Generalized variational inequality Topological degree Exceptional family of elements Coercivity condition Optimization Real Functions Computer Science Operations Research/Decision Theory |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Applied Mathematics Management Science and Operations Research Business, Management and Accounting Computer Science Applications |
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