A Second-Order Time-Varying Projection Neurodynamic Model for Solving Inverse Mixed Variational Inequalities and Applications

In this paper, we propose a novel projection-based second-order time-varying neurodynamic system (TVNDS) to solve inverse mixed variational inequalities (IMVIs) involving two time-dependent parameters. The proposed model guarantees the existence, uniqueness, and global stability of solutions for strongly monotone and Lipschitz continuous operators. Furthermore, a discrete-time realization of the system is developed, leading to an inertial projection algorithm that achieves linear convergence under suitable parameter conditions. The stability analysis is carried out using a Lyapunov function, and at last numerical experiments demonstrate the accuracy, convergence rate, and robustness of the proposed approach in solving IMVIs and related optimization problems. MSC Classification (2020): 47J20 , 65P40 90C30 , 37C75.