activity
20182021
most citedQuantitative results on the multi-parameters Proximal Point Algorithm

3 citations · 5 across the 3 of their papers we have counts for

collaborators

6 papers

math.FA20211 cited

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…

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.LO20201 cited

Parametrised Functional Interpretations

Bruno Dinis, Paulo Oliva

This paper presents a general framework for unifying functional interpretations. It is based on families of parameters allowing for different degrees of freedom on the design of th…

math.FA20193 cited

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…

math.LO2019

Metastability of the proximal point algorithm with multi-parameters

Bruno Dinis, Pedro Pinto

In this article we use techniques of proof mining to analyse a result, due to Yonghong Yao and Muhammad Aslam Noor, concerning the strong convergence of a generalized proximal poin…

math.LO2018

Fundamental group in o-minimal structures with definable Skolem functions

Bruno Dinis, Mário J. Edmundo, Marcello Mamino

In this paper we work in an arbitrary o-minimal structure with definable Skolem functions and we prove that definably connected, locally definable manifolds are uniformly definably…