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Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions

Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions

Abstract In the framework of a real Hilbert space, we address the problem of finding the zeros of the sum of a maximally monotone operator A and a cocoercive operator B . We study the asymptotic behaviour of the trajectories generated by a second order equation with vanishing damping, attached …