Abstract
The “finite intersection property” for bifunctions is introduced and its relationship with generalized monotonicity properties is studied. Some characterizations are considered involving the Minty equilibrium problem. Also, some results concerning existence of equilibria and quasi-equilibria are established recovering several results in the literature. Furthermore, we give an existence result for generalized Nash equilibrium problems and variational inequality problems.
| Original language | English |
|---|---|
| Pages (from-to) | 941-957 |
| Number of pages | 17 |
| Journal | Journal of Global Optimization |
| Volume | 79 |
| Issue number | 4 |
| Early online date | 29 Oct 2020 |
| DOIs | |
| State | Published - Apr 2021 |
Bibliographical note
Publisher Copyright:© 2020, Springer Science+Business Media, LLC, part of Springer Nature.
Copyright 2020 Elsevier B.V., All rights reserved.
Keywords
- Finite intersection property
- Generalized monotonicity
- Generalized Nash equilibrium problem
- Quasi-equilibrium problem
- Set-valued map
- Variational inequality