3 papers
math.OC2026
Forward-Reflected-Backward algorithm with Linesearch
Fernando Muñoz GarcÃa, 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…
math.OC2024
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…
math.OC2024
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…