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

22 Jul 2020  ·  Pérez-Aros Pedro, Vilches Emilio ·

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

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Optimization and Control