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In this paper, we propose a Tikhonov-like regularization for dynamicalsystems associated with non-expansive operators defined in closed and convexsets of a Hilbert space. We prove the well-posedness and the strong convergenceof the proposed dynamical systems to a fixed point of the non-expansiveoperator. We apply the obtained result to dynamical system associated with theproblem of finding the zeros of the sum of a cocoercive operator with thesubdifferential of a convex function.

Tikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets