Douglas-Rachford splitting algorithm for solving state-dependent maximal monotone inclusions

DOI10.1007/s11590-021-01718-zOpenAlexW3134852328MaRDI QIDQ2230801

Samir Adly, Ba Khiet Le

Publication date: 28 September 2021

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-021-01718-z

zbMATH Keywords

maximal monotone operatorsquasivariational inequalitiesDouglas-Rachford splitting algorithmstate-dependent variational inclusion

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (1)

On a new simple algorithm to compute the resolvents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A proximal method for solving quasi-variational inequalities
• On the linear convergence of the alternating direction method of multipliers
• Solving strongly monotone variational and quasi-variational inequalities
• Optimal control of a quasi-variational obstacle problem
• Monotone (nonlinear) operators in Hilbert space
• Generalized Nash games and quasi-variational inequalities
• Tight global linear convergence rate bounds for Douglas-Rachford splitting
• Quasi-variational inequalities and applications to the traffic equilibrium problem; discussion of a paradox
• The relevance of convex analysis for the study of monotonicity
• Gradient-type projection methods for quasi-variational inequalities
• On a class of Lur'e dynamical systems with state-dependent set-valued feedback
• Douglas-Rachford splitting for the sum of a Lipschitz continuous and a strongly monotone operator
• State-dependent implicit sweeping process in the framework of quasistatic evolution quasi-variational inequalities
• On the Douglas-Rachford algorithm
• Variational and quasi-variational inequalities in mechanics
• Quasi-variational inequalities, generalized Nash equilibria, and multi-leader-follower games
• A second-order iterative method for solving quasi-variational inequalities
• On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method
• Linear Convergence and Metric Selection for Douglas-Rachford Splitting and ADMM
• On Weak Convergence of the Douglas–Rachford Method
• Functional Analysis, Calculus of Variations and Optimal Control
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions
• Operator Splitting Performance Estimation: Tight Contraction Factors and Optimal Parameter Selection
• Faster Convergence Rates of Relaxed Peaceman-Rachford and ADMM Under Regularity Assumptions
• Local Linear Convergence of the Alternating Direction Method of Multipliers on Quadratic or Linear Programs
• Convex analysis and monotone operator theory in Hilbert spaces

This page was built for publication: Douglas-Rachford splitting algorithm for solving state-dependent maximal monotone inclusions