5 papers
Nonlinear Forward-Backward Algorithm for Solving Non-monotone+Lipschitz Inclusions with Applications to Adjoint Mismatch Problems
Jean-Christophe Pesquet, Fernando Roldán
This article presents a novel algorithmic framework for solving a broad class of nonlinear inclusion problems involving non-monotone and Lipschitz continuous operators. Our primary…
Forward-Reflected-Backward algorithm with Linesearch
Fernando Muñoz García, Fernando Roldán
In this article, we aim to solve a monotone inclusion problem involving the sum of a maximally monotone operator and a continuous operator. While several algorithms exist to solve…
Solution of Mismatched Monotone+Lipschitz Inclusion Problems
Emilie Chouzenoux, Jean-Christophe Pesquet, Fernando Roldán
In this article, we study the convergence of algorithms for solving monotone inclusions in the presence of adjoint mismatch. The adjoint mismatch arises when the adjoint of a linea…
Forward Primal-Dual Half-Forward Algorithm for Splitting Four Operators
Fernando Roldán
In this article, we propose a splitting algorithm to find zeros of the sum of four maximally monotone operators in real Hilbert spaces. In particular, we consider a Lipschitzian op…
Forward-Reflected-Backward and Shadow-Douglas--Rachford with partial inverse for Solving Monotone Inclusions
Fernando Roldán
In this article, we study two methods for solving monotone inclusions in real Hilbert spaces involving the sum of a maximally monotone operator, a monotone-Lipschitzian operator, a…