Prof. Mohamed Ait Mansour, Professor of Mathematics at the Department of Physics, Polydisciplinary Faculty of Safi, Cadi Ayyad University, Safi, Morocco, will give a seminar titled:
Recent Stability Results of Time-Dependent Quasi-Variational Inequalities
The seminar will take place on Friday, July 3, 2026, from 10:00 to 11:00, in hybrid mode: in person in Room 4057, building U7, 4th floor,
and online via Webex (link: https://unimib.webex.com/meet/mauro.passacantando).
In this talk, we consider quasi-variational inequalities depending on time at each moment beyond the presence of further external perturbing parameters. These considerations lead to time-dependent parametric quasi-variational inequalities, which we analyse from the stability viewpoint. We first discuss interesting links of our stability concept to several mathematical tools from set-valued and variational analysis to fixed point theory. Then, we present an abstract quantitative stability result by establishing sharp estimates of solutions to time-dependent quasi-variational inequality problems under perturbation. Our key idea mixes stable fixed points of set-valued maps and strongly monotone variational inequalities. The suggested assumptions arrange an efficient combination with Lim's type stability properties on the underlying fixed points. In the second step of the talk, our main stability result is discussed in the context of two applications: parametric market equilibrium problems and elastic traffic network problems.