Abstract
In this paper, we introduce the system of generalized vector equilibrium problems which includes as special cases the system of generalized implicit vector variational inequality problems, the system of generalized vector variational and variational-like inequality problems and the system of vector equilibrium problems. By using a maximal element theorem, we establish existence results for a solution of these systems. As an application, we derive existence results for a solution of a more general Nash equilibrium problem for vector-valued functions.
| Original language | English |
|---|---|
| Article number | A002 |
| Pages (from-to) | 3-16 |
| Number of pages | 14 |
| Journal | Journal of Global Optimization |
| Volume | 22 |
| Issue number | 1-4 |
| DOIs | |
| State | Published - 2002 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2002 Kluwer Academic Publishers.
Keywords
- Maximal element theorem
- Nash equilibrium problem
- Vector equilibrium problem
- Vector optimization problem
- Vector variational inequality
ASJC Scopus subject areas
- Business, Management and Accounting (miscellaneous)
- Computer Science Applications
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics