Resolvent Moreau identities without monotonicity: theory and applications to Gabay duality, Douglas--Rachford and ADMM
Fuente:
arXiv
Saved in:
| Main Authors: | Calcan, Andrew, Collard, Jordan, De Marchi, Alberto, Lindstrom, Scott B. |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Understanding the Douglas-Rachford splitting method through the lenses of Moreau-type envelopes
by: Atenas, Felipe
Published: (2023)
by: Atenas, Felipe
Published: (2023)
Quadratic Convergence of a Projection Method for a Plane Curve Feasibility Problem
by: Collard, Jordan, et al.
Published: (2025)
by: Collard, Jordan, et al.
Published: (2025)
Robust optimality and duality for composite uncertain multiobjective optimization in Asplund spaces with its applications
by: Saadati, Maryam, et al.
Published: (2022)
by: Saadati, Maryam, et al.
Published: (2022)
Cyclic Relaxed Douglas-Rachford Splitting for Inconsistent Nonconvex Feasibility
by: Dinh, Thi Lan, et al.
Published: (2025)
by: Dinh, Thi Lan, et al.
Published: (2025)
On the Douglas-Rachford and Peaceman-Rachford algorithms in the presence of uniform monotonicity and the absence of minimizers
by: Burachik, Regina S., et al.
Published: (2022)
by: Burachik, Regina S., et al.
Published: (2022)
The Influence of an Adjoint Mismatch on the Primal-Dual Douglas-Rachford Method
by: Naldi, Emanuele, et al.
Published: (2025)
by: Naldi, Emanuele, et al.
Published: (2025)
Convergence of the Preconditioned Proximal Point Method and Douglas-Rachford Splitting in the Absence of Monotonicity
by: Evens, Brecht, et al.
Published: (2023)
by: Evens, Brecht, et al.
Published: (2023)
Augmented Lagrangian methods for fully convex composite optimization
by: De Marchi, Alberto, et al.
Published: (2025)
by: De Marchi, Alberto, et al.
Published: (2025)
Nonsmooth convex-concave saddle point problems with cardinality penalties
by: Bian, Wei, et al.
Published: (2024)
by: Bian, Wei, et al.
Published: (2024)
A new problem qualification based on approximate KKT conditions for Lipschitzian optimization with application to bilevel programming
by: Käming, Isabella, et al.
Published: (2024)
by: Käming, Isabella, et al.
Published: (2024)
Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints
by: Wachsmuth, Gerd
Published: (2022)
by: Wachsmuth, Gerd
Published: (2022)
On existence of solutions to non-convex minimization problems
by: Rele, Rohan, et al.
Published: (2024)
by: Rele, Rohan, et al.
Published: (2024)
On circumcentered direct methods for monotone variational inequality problems
by: Behling, Roger, et al.
Published: (2025)
by: Behling, Roger, et al.
Published: (2025)
Bregman Proximal Linearized ADMM for Minimizing Separable Sums Coupled by a Difference of Functions
by: Pham, Tan Nhat, et al.
Published: (2024)
by: Pham, Tan Nhat, et al.
Published: (2024)
Douglas--Rachford algorithm for control-constrained minimum-energy control problems
by: Burachik, Regina S., et al.
Published: (2022)
by: Burachik, Regina S., et al.
Published: (2022)
An inertial proximal splitting algorithm for hierarchical bilevel equilibria in Hilbert spaces
by: Balhag, Aicha, et al.
Published: (2025)
by: Balhag, Aicha, et al.
Published: (2025)
Moreau envelope and proximal-point methods under the lens of high-order regularization
by: Kabgani, Alireza, et al.
Published: (2025)
by: Kabgani, Alireza, et al.
Published: (2025)
A Unified Analysis on the Subgradient Upper Bounds for the Subgradient Methods Minimizing Composite Nonconvex, Nonsmooth and Non-Lipschitz Functions
by: Zhu, Daoli, et al.
Published: (2023)
by: Zhu, Daoli, et al.
Published: (2023)
Trust-Region Method for Optimization of Set-Valued Maps Given by Finitely Many Functions
by: Ghosh, Suprova, et al.
Published: (2025)
by: Ghosh, Suprova, et al.
Published: (2025)
Optimization Problems with Nearly Convex Objective Functions and Nearly Convex Constraint Sets
by: Thieu, Nguyen Nang, et al.
Published: (2026)
by: Thieu, Nguyen Nang, et al.
Published: (2026)
Variational analysis of determinantal varieties
by: Yang, Yan, et al.
Published: (2025)
by: Yang, Yan, et al.
Published: (2025)
Alternating Gradient-Type Algorithm for Bilevel Optimization with Inexact Lower-Level Solutions via Moreau Envelope-based Reformulation
by: Bai, Xiaoning, et al.
Published: (2024)
by: Bai, Xiaoning, et al.
Published: (2024)
Forward-Reflected-Backward and Shadow-Douglas--Rachford with partial inverse for Solving Monotone Inclusions
by: Roldán, Fernando
Published: (2023)
by: Roldán, Fernando
Published: (2023)
An interior proximal gradient method for nonconvex optimization
by: De Marchi, Alberto, et al.
Published: (2022)
by: De Marchi, Alberto, et al.
Published: (2022)
A penalty barrier framework for nonconvex constrained optimization
by: De Marchi, Alberto, et al.
Published: (2024)
by: De Marchi, Alberto, et al.
Published: (2024)
Local properties and augmented Lagrangians in fully nonconvex composite optimization
by: De Marchi, Alberto, et al.
Published: (2023)
by: De Marchi, Alberto, et al.
Published: (2023)
ItsOPT: An inexact two-level smoothing framework for nonconvex optimization via high-order Moreau envelope
by: Kabgani, Alireza, et al.
Published: (2024)
by: Kabgani, Alireza, et al.
Published: (2024)
Douglas-Rachford splitting and ADMM for nonconvex optimization: Accelerated and Newton-type linesearch algorithms
by: Themelis, Andreas, et al.
Published: (2020)
by: Themelis, Andreas, et al.
Published: (2020)
Fejér* monotonicity in optimization algorithms
by: Behling, Roger, et al.
Published: (2024)
by: Behling, Roger, et al.
Published: (2024)
The Golden Ratio Proximal ADMM with Norm Independent Step-Sizes for Separable Convex Optimization
by: Soe, Santanu, et al.
Published: (2025)
by: Soe, Santanu, et al.
Published: (2025)
Projected gradient descent accumulates at Bouligand stationary points
by: Olikier, Guillaume, et al.
Published: (2024)
by: Olikier, Guillaume, et al.
Published: (2024)
Mathematical programs with complementarity constraints and application to hyperparameter tuning for nonlinear support vector machines
by: Ward, Samuel, et al.
Published: (2025)
by: Ward, Samuel, et al.
Published: (2025)
Eckstein-Ferris-Pennanen-Robinson duality revisited: paramonotonicity, total Fenchel-Rockafellar duality, and the Chambolle-Pock operator
by: Bauschke, Heinz H., et al.
Published: (2024)
by: Bauschke, Heinz H., et al.
Published: (2024)
Fast convex optimization via closed-loop time scaling of gradient dynamics
by: Attouch, Hedy, et al.
Published: (2023)
by: Attouch, Hedy, et al.
Published: (2023)
Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization
by: Maulen-Soto, Rodrigo, et al.
Published: (2024)
by: Maulen-Soto, Rodrigo, et al.
Published: (2024)
Nonlinear Strict Cone Separation Theorems in Real Normed Spaces
by: Günther, Christian, et al.
Published: (2023)
by: Günther, Christian, et al.
Published: (2023)
Asymptotic behaviour of coupled random dynamical systems with multiscale aspects
by: Luke, D. Russell, et al.
Published: (2026)
by: Luke, D. Russell, et al.
Published: (2026)
Generalized Steepest Descent Methods on Riemannian Manifolds and Hilbert Spaces: Convergence Analysis and Stochastic Extensions
by: A., Rashid, et al.
Published: (2025)
by: A., Rashid, et al.
Published: (2025)
On second-order optimality conditions for $C^{1,1}$ optimization problems via Lagrangian functions
by: An, Duong Thi Viet, et al.
Published: (2024)
by: An, Duong Thi Viet, et al.
Published: (2024)
On second-order Karush--Kuhn--Tucker optimality conditions for $C^{1,1}$ vector optimization problems
by: Van Tuyen, Nguyen
Published: (2025)
by: Van Tuyen, Nguyen
Published: (2025)
Similar Items
-
Understanding the Douglas-Rachford splitting method through the lenses of Moreau-type envelopes
by: Atenas, Felipe
Published: (2023) -
Quadratic Convergence of a Projection Method for a Plane Curve Feasibility Problem
by: Collard, Jordan, et al.
Published: (2025) -
Robust optimality and duality for composite uncertain multiobjective optimization in Asplund spaces with its applications
by: Saadati, Maryam, et al.
Published: (2022) -
Cyclic Relaxed Douglas-Rachford Splitting for Inconsistent Nonconvex Feasibility
by: Dinh, Thi Lan, et al.
Published: (2025) -
On the Douglas-Rachford and Peaceman-Rachford algorithms in the presence of uniform monotonicity and the absence of minimizers
by: Burachik, Regina S., et al.
Published: (2022)