3 citations · 4 across the 3 of their papers we have counts for
8 papers
Quantitative translations for viscosity approximation methods in hyperbolic spaces
Ulrich Kohlenbach, Pedro Pinto
In the setting of hyperbolic spaces, we show that the convergence of Browder-type sequences and Halpern iterations respectively entail the convergence of their viscosity version wi…
Effective metastability for a method of alternating resolvents
Bruno Dinis, Pedro Pinto
A generalized method of alternating resolvents was introduced by Boikanyo and Moro{\c s}anu as a way to approximate common zeros of two maximal monotone operators. In this paper we…
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…
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…
A rate of metastability for the Halpern type Proximal Point Algorithm
Pedro Pinto
Using proof-theoretical techniques, we analyze a proof by H.-K. Xu regarding a result of strong convergence for the Halpern type proximal point algorithm. We obtain a rate of metas…
Quantitative results on the multi-parameters Proximal Point Algorithm
Bruno Dinis, Pedro Pinto
We give a quantitative analysis of a theorem due to Fenghui Wang and Huanhuan Cui concerning the convergence of a multi-parametric version of the proximal point algorithm. Wang and…