Four-operator splitting via a forward-backward-half-forward algorithm with line search
From MaRDI portal
Publication:2082238
DOI10.1007/s10957-022-02074-3OpenAlexW4297463613MaRDI QIDQ2082238
Fernando Roldán, Luis M. Briceño-Arias
Publication date: 4 October 2022
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.06860
convex optimizationsplitting algorithmscocoercive operatorLipschitzian operatormonotone operator theory
Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical methods involving duality (49M29) Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Numerical methods for variational inequalities and related problems (65K15)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- Primal-dual splitting algorithm for solving inclusions with mixtures of composite, Lipschitzian, and parallel-sum type monotone operators
- Forward-partial inverse-forward splitting for solving monotone inclusions
- Partial inverse of a monotone operator
- A three-operator splitting scheme and its optimization applications
- A reflected forward-backward splitting method for monotone inclusions involving Lipschitzian operators
- A splitting algorithm for dual monotone inclusions involving cocoercive operators
- Weak convergence of an extended splitting method for monotone inclusions
- Single-forward-step projective splitting: exploiting cocoercivity
- Backward-forward-reflected-backward splitting for three operator monotone inclusions
- Projective splitting with forward steps only requires continuity
- Finding the forward-Douglas-Rachford-forward method
- Shadow Douglas-Rachford splitting for monotone inclusions
- A splitting algorithm for system of composite monotone inclusions
- A simplified form of block-iterative operator splitting and an asynchronous algorithm resembling the multi-block alternating direction method of multipliers
- Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions
- ADMM for monotone operators: convergence analysis and rates
- A Generalized Forward-Backward Splitting
- A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Forward-Backward-Half Forward Algorithm for Solving Monotone Inclusions
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Multivariate Monotone Inclusions in Saddle Form
- A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity
- Forward-Douglas–Rachford splitting and forward-partial inverse method for solving monotone inclusions
- The Variable Metric Forward-Backward Splitting Algorithm Under Mild Differentiability Assumptions
- A Primal-Dual Splitting Algorithm for Finding Zeros of Sums of Maximal Monotone Operators
- A Douglas--Rachford Type Primal-Dual Method for Solving Inclusions with Mixtures of Composite and Parallel-Sum Type Monotone Operators
- Variable metric forward–backward splitting with applications to monotone inclusions in duality
- Convex programming in Hilbert space
- Monotone Operator Methods for Nash Equilibria in Non-potential Games
- Convex analysis and monotone operator theory in Hilbert spaces
- Set-valued analysis