3 papers
math.OC2023★ 1 cited
A continuity result for the adjusted normal cone operator
Marco Castellani, Massimiliano Giuli
The concept of adjusted sublevel set for a quasiconvex function was introduced in \cite{AuHa05} and the local existence of a norm-to-weak upper semicontinuous base-valued subma…
math.OC2017
A Ky Fan minimax inequality for quasiequilibria on finite dimensional spaces
Marco Castellani, Massimiliano Giuli, Massimo Pappalardo
Several results concerning existence of solutions of a quasiequilibrium problem defined on a finite dimensional space are established. The proof of the first result is based on a M…
math.OC2015
Approximate solutions of quasiequilibrium problems in Banach spaces
Marco Castellani, Massimiliano Giuli
In this note we show that a recent existence result on quasiequilibrium problems, which seems to improve deeply some well-known results, is not correct. We exhibit a counterexample…