Inertial dynamics with vanishing Tikhonov regularization for
multobjective optimization
Inertial dynamics with vanishing Tikhonov regularization for
multobjective optimization
In this paper we introduce, in a Hilbert space setting, a second order dynamical system with asymptotically vanishing damping and vanishing Tikhonov regularization that approaches a multiobjective optimization problem with convex and differentiable components of the objective function. Trajectory solutions are shown to exist in finite dimensions. We prove fast …