In a Hilbert space setting H, we study the fast convergence properties as t→+∞ of the
trajectories of the second-order differential equation x¨(t)+ α tx˙(t)+∇ Φ (x (t))= g (t), where∇ …

This work is intended to serve as a guide for graduate students and researchers who wish to
get acquainted with the main theoretical and practical tools for the numerical minimization of …

In this paper, we study the backward–forward algorithm as a splitting method to solve
structured monotone inclusions, and convex minimization problems in Hilbert spaces. It has …

We provide a comprehensive study of the convergence of the forward-backward algorithm
under suitable geometric conditions, such as conditioning or Łojasiewicz properties. These …

We are concerned with the study of a class of forward-backward penalty schemes for solving
variational inequalities 0∈Ax+N_C(x) where H is a real Hilbert space, A:H\rightrightarrowsH …

This paper is concerned with the study of a class of prox-penalization methods for solving
variational inequalities of the form Ax+N_C(x)\ni0, where H is a real Hilbert space …

In this paper, we introduce a novel Extra-Gradient method with anchor term governed by
general parameters. Our method is derived from an explicit discretization of a Tikhonov …

Let X, Y, Z be real Hilbert spaces, let f: X→ R∪{+∞}, g: Y→ R∪{+∞} be closed convex
functions and let A: X→ Z, B: Y→ Z be linear continuous operators. Let us consider the …

The purpose of this paper is to study the dynamical behavior of the sequence produced by a
Forward–Backward algorithm, involving two random maximal monotone operators and a …

In this paper, we propose and analyze an algorithm that couples the gradient method with a
general exterior penalization scheme for constrained or hierarchical minimization of convex …