An adaptive splitting algorithm for the sum of two generalized monotone operators and one cocoercive operator

DOI10.1186/s13663-021-00701-8OpenAlexW3203870662MaRDI QIDQ2138448

Minh N. Dao, Hung M. Phan

Publication date: 12 May 2022

Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-021-00701-8

zbMATH Keywords

forward-backward algorithmfixed point iterationsthree-operator splittingadaptive Douglas-Rachford algorithmconically averaged operator

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical optimization and variational techniques (65K10) Monotone operators and generalizations (47H05)

Related Items (3)

A direct proof of convergence of Davis-Yin splitting algorithm allowing larger stepsizes ⋮ Distributed forward-backward methods for ring networks ⋮ An adaptive alternating direction method of multipliers

Uses Software

• UNLocBoX

Cites Work

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• A Generalized Forward-Backward Splitting
• Proximal Splitting Methods in Signal Processing
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Adaptive Douglas--Rachford Splitting Algorithm for the Sum of Two Operators
• Forward-Douglas–Rachford splitting and forward-partial inverse method for solving monotone inclusions
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• New Demiclosedness Principles for (Firmly) Nonexpansive Operators
• Convex analysis and monotone operator theory in Hilbert spaces

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