| Article ID: | iaor20003714 |
| Country: | Germany |
| Volume: | 50 |
| Issue: | 2 |
| Start Page Number: | 433 |
| End Page Number: | 438 |
| Publication Date: | Jan 1999 |
| Journal: | Mathematical Methods of Operations Research (Heidelberg) |
| Authors: | Daniilidis A., Hadjisavvas N. |
Various coercivity conditions appear in the literature in order to guarantee solutions for the Variational Inequality Problem. We show that these conditions are equivalent to each other and that they are not only sufficient, but also necessary for the set of solutions to be non-empty and bounded.