Levenberg-Marquardt Dynamics Associated to Variational Inequalities
Levenberg-Marquardt Dynamics Associated to Variational Inequalities
In connection with the optimization problem $$\underset{x\in\text{argmin}\Psi}{\inf}\{\Phi(x)+\Theta(x)\},$$ where Φ is a proper, convex and lower semicontinuous function and Θ and Ψ are convex and smooth functions defined on a real Hilbert space, we investigate the asymptotic behavior of the trajectories of the nonautonomous Levenberg-Marquardt dynamical system $$\left \{ \begin {array}{ll} …