Abstract
In this paper, we introduce a system of vector equilibrium problems and prove the existence of a solution. As an application, we derive some existence results for the system of vector variational inequalities. We also establish some existence results for the system of vector optimization problems, which includes the Nash equilibrium problem as a special case.
| Original language | English |
|---|---|
| Pages (from-to) | 547-557 |
| Number of pages | 11 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 107 |
| Issue number | 3 |
| DOIs | |
| State | Published - Dec 2000 |
| Externally published | Yes |
Keywords
- Fixed points
- Nash equilibrium problem
- System of vector equilibrium problems
- System of vector optimization problems
- System of vector variational inequalities
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics