In a normed space setting, this paper studies the conditions under which the projected solutions to a quasi equilibrium problem with non-self constraint map exist. Our approach is based on an iterative algorithm which gives rise to a sequence such that, under the assumption of asymptotic regularity, its limit points are projected solutions. Finally, as a particular case, we discuss the existence of projected solutions to a quasi variational inequality problem.
Bianchi, M., Miglierina, E., Ramazannejad, M., On projected solutions for quasi equilibrium problems with non-self constraint map, <<OPTIMIZATION>>, 2025; 2025 (N/A): N/A-N/A. [doi:10.1080/02331934.2025.2478511] [https://hdl.handle.net/10807/310216]
On projected solutions for quasi equilibrium problems with non-self constraint map
Bianchi, Monica;Miglierina, Enrico;Ramazannejad, Maede
2025
Abstract
In a normed space setting, this paper studies the conditions under which the projected solutions to a quasi equilibrium problem with non-self constraint map exist. Our approach is based on an iterative algorithm which gives rise to a sequence such that, under the assumption of asymptotic regularity, its limit points are projected solutions. Finally, as a particular case, we discuss the existence of projected solutions to a quasi variational inequality problem.
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