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math.FA2020
On the convergence of algorithms with Tikhonov regularization terms
Bruno Dinis, Pedro Pinto
We consider the strongly convergent modified versions of the Krasnosel'ski\uı-Mann, the forward-backward and the Douglas-Rachford algorithms with Tikhonov regularization terms, int…
math.OC2020
Quantitative results on a Halpern-type proximal point algorithm
Laurentiu Leustean, Pedro Pinto
We apply proof mining methods to analyse a result of Boikanyo and Moroşanu on the strong convergence of a Halpern-type proximal point algorithm. As a consequence, we obtain quantit…