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Second-order dynamical systems with penalty terms associated to monotone inclusions

Second-order dynamical systems with penalty terms associated to monotone inclusions

In this paper, we investigate in a Hilbert space setting a second-order dynamical system of the form [Formula: see text] where [Formula: see text]image[Formula: see text] is a maximal monotone operator, [Formula: see text] is the resolvent operator of [Formula: see text] and [Formula: see text] are cocoercive operators, and …