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math.DS2017
Second order dynamical systems with penalty terms associated to monotone inclusions
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd Csaba László
In this paper we investigate in a Hilbert space setting a second order dynamical system of the form $$\ddot{x}(t)+\g(t)\dot{x}(t)+x(t)-J_{λ(t) A}\big(x(t)-λ(t) D(x(t))-λ(t)β(t)B(x(…
math.DS2014
A dynamical system associated with the fixed points set of a nonexpansive operator
Radu Ioan Bot, Ernö Robert Csetnek
We study the existence and uniqueness of (locally) absolutely continuous trajectories of a dynamical system governed by a nonexpansive operator. The weak convergence of the orbits…