2 citations · 3 across the 5 of their papers we have counts for
7 papers
A Projection-Free Algorithm for Variational Inequalities in Hilbert Spaces with Strong Convergence
Reinier Diaz Millan
We study variational inequalities governed by a point-to-set maximal monotone operator in a real Hilbert space and constrained by a convex inequality \(C=\{x\in\Hi:c(x)\le0\}\), wh…
A comparison of rational and neural network based approximations
Vinesha Peiris, Reinier Diaz Millan, Nadezda Sukhorukova +1
Rational and neural network based approximations are efficient tools in modern approximation. These approaches are able to produce accurate approximations to nonsmooth and non-Lips…
Variational properties of the abstract subdifferential operator
Reinier Diàz Millàn, Nadezda Sukhorukova, Julien Ugon
Abstract convexity generalises classical convexity by considering the suprema of functions taken from an arbitrarily defined set of functions. These are called the abstract linear…
Approximate Douglas-Rachford algorithm for two-sets convex feasibility problems
R. Díaz Millán, O. P. Ferreira, J. Ugon
In this paper, we propose a new algorithm combining the Douglas-Rachford (DR) algorithm and the Frank-Wolfe algorithm, also known as the conditional gradient (CondG) method, for so…
Comparing Averaged Relaxed Cutters and Projection Methods: Theory and Examples
R. Díaz Millán, Scott B. Lindstrom, Vera Roshchina
We focus on the convergence analysis of averaged relaxations of cutters, specifically for variants that---depending upon how parameters are chosen---resemble \emph{alternating proj…
Two algorithms for solving systems of inclusion problems
R. Díaz Millán
The goal of this paper is to present two algorithms for solving systems of inclusion problems, with all component of the systems being a sum of two maximal monotone operators. The…
A Relaxed-Projection Splitting Algorithm for Variational Inequalities in Hilbert Spaces
J. Y. Bello Cruz, R. Diaz Millan
We introduce a relaxed-projection splitting algorithm for solving variational inequalities in Hilbert spaces for the sum of nonsmooth maximal monotone operators, where the feasible…