Abstract
In 2016 Aussel, Sultana and Vetrivel developed the concept of projected solution for Nash equilibria. The purpose of this work is to study the same concept of solution, but for quasi-equilibrium problems. Our results recover several existence theorems for quasi-equilibrium problems in the literature. Additionally, we show the existence of projected solutions for quasi-optimization problems, quasi-variational inequality problems, and generalized Nash equilibrium problems.
| Original language | English |
|---|---|
| Pages (from-to) | 177-197 |
| Number of pages | 21 |
| Journal | Journal of Global Optimization |
| Volume | 75 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Sep 2019 |
Bibliographical note
Publisher Copyright:© 2019, Springer Science+Business Media, LLC, part of Springer Nature.
Keywords
- Generalized Nash equilibrium
- Generalized monotonicity
- Quasi-equilibrium problem
- Quasi-optimization problem
- Quasi-variational inequality
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