Quasi-equilibrium problems generalize equilibrium problems, as introduced in the framework of Blum and Oettli. This study focuses on quasi-equilibrium problems in which the constraint map is not a self-map. We present various reformulations that establish existence results for projected solutions in Banach spaces. Furthermore, we apply these findings to quasi-variational inequalities and quasi-optimization problems.
Bianchi, M., Cotrina, J., García, Y., Pini, R., Different approaches to the existence of projected solutions in Banach spaces, <<OPTIMIZATION>>, 2025; (N/A): N/A-N/A. [doi:10.1080/02331934.2025.2553195] [https://hdl.handle.net/10807/321956]
Different approaches to the existence of projected solutions in Banach spaces
Bianchi, Monica;
2025
Abstract
Quasi-equilibrium problems generalize equilibrium problems, as introduced in the framework of Blum and Oettli. This study focuses on quasi-equilibrium problems in which the constraint map is not a self-map. We present various reformulations that establish existence results for projected solutions in Banach spaces. Furthermore, we apply these findings to quasi-variational inequalities and quasi-optimization problems.
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