Parallel Normal S-Iteration Methods with Applications to Optimization Problems
DOI10.1080/01630563.2021.1950761OpenAlexW3206117194MaRDI QIDQ5069194
Publication date: 8 April 2022
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2021.1950761
resolventconvex optimizationvariational inequalitynonexpansive mappingmaximal monotone operatorproximal gradient method\(S\)-iteration method
Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (1)
Uses Software
Cites Work
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- Forward-backward splitting methods for accretive operators in Banach spaces
- Comments on ``The proximal point algorithm revisited
- The prox-Tikhonov-like forward-backward method and applications
- The asymptotic behavior of the composition of two resolvents
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Convergence analysis of parallel \(S\)-iteration process for system of generalized variational inequalities
- Two-step projection methods for a system of variational inequality problems in Banach spaces
- Applications of accelerated computational methods for quasi-nonexpansive operators to optimization problems
- Projective splitting methods for sums of maximal monotone operators with applications
- A new iteration technique for nonlinear operators as concerns convex programming and feasibility problems
- An iterative method and its application to stable inversion
- Backward-forward algorithms for structured monotone inclusions in Hilbert spaces
- A Picard-Mann hybrid iterative process
- Atomic Decomposition by Basis Pursuit
- Preconditioning of a Generalized Forward-Backward Splitting and Application to Optimization on Graphs
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
- Monotone Operators and the Proximal Point Algorithm
- Iterative methods for system of variational inclusions involving accretive operators and applications
- Projected Nesterov's Proximal-Gradient Algorithm for Sparse Signal Recovery
- Forward-Backward-Half Forward Algorithm for Solving Monotone Inclusions
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Perturbed iterative methods for a general family of operators: convergence theory and applications
- Some Iterative Methods for Fixed Point Problems
- The Variable Metric Forward-Backward Splitting Algorithm Under Mild Differentiability Assumptions
- Signal Recovery by Proximal Forward-Backward Splitting
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- New Demiclosedness Principles for (Firmly) Nonexpansive Operators
- Convex analysis and monotone operator theory in Hilbert spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Parallel Normal S-Iteration Methods with Applications to Optimization Problems