Fixed-Time Stable Proximal Dynamical System for Solving MVIPs

In this paper, a novel modified proximal dynamical system is proposed to compute the solution of mixed variational inequality problem (MVIP) within fixed time, where time convergence finite and uniformly bounded for all initial conditions. Under assumptions strong monotonicity Lipschitz continuity, it shown that exists, uniquely determined, converges unique associated MVIP time. Furthermore, fixed-time stability projected continues hold, even if assumption relaxed pseudomonotonicity. Finally, obtained using forward-Euler discretization an arbitrarily small neighborhood number steps, independent