Advances in Nonlinear Variational Inequalities Volume 24 (2021),Number 2, 37 - 50

摘要

The overarching goal of this manuscript is to introduce and study a new system of inverse quasi-variational inequalities (SIQVIs) in Hilbert spaces. We obtain the existence and uniqueness of the solution to the system of SIQVIs by using the Banach fixed point theorem. Moreover, by employing the projective dynamical system method, we show that the solution of SIQVIs is globally exponentially stable under some mild conditions.