Strong convergence of a forward-backward splitting method with a new step size for solving monotone inclusions
From MaRDI portal
Publication:2322489
DOI10.1007/s40314-019-0855-zzbMath1438.47106OpenAlexW2943265018WikidataQ128022698 ScholiaQ128022698MaRDI QIDQ2322489
Duong Viet Thong, Prasit Cholamjiak
Publication date: 4 September 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-019-0855-z
strong convergenceviscosity methodzero pointreal Hilbert spaceforward-backward splitting methodmonotone inclusion problemsTseng's splitting method
Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)
Related Items
Regularization proximal method for monotone variational inclusions, Modified Tseng's splitting algorithms for the sum of two monotone operators in Banach spaces, A new method for solving split variational inequality problems without co-coerciveness, Mann-type algorithms for solving the monotone inclusion problem and the fixed point problem in reflexive Banach spaces, An inertial method for solutions of split equality inclusion problems, A modified contraction method for solving certain class of split monotone variational inclusion problems with application, A modified inertial viscosity algorithm for an infinite family of nonexpansive mappings and its application to image restoration, Split monotone variational inclusion with errors for image-feature extraction with multiple-image blends problem, Relaxed viscosity-type iterative methods with application to compressed sensing, A strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings, Strong convergence of forward-reflected-backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control, Two-step inertial forward-reflected-anchored-backward splitting algorithm for solving monotone inclusion problems, Some new convergence and stability results for Jungck generalized pseudo-contractive and Lipschitzian type operators using hybrid iterative techniques in the Hilbert space, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Shrinking projection methods for accelerating relaxed inertial Tseng-type algorithm with applications, Solving the split feasibility problem and the fixed point problem of left Bregman firmly nonexpansive mappings via the dynamical step sizes in Banach spaces, Monotone inclusion problem and fixed point problem of a generalized demimetric mapping in CAT(0) spaces, New strong convergence method for the sum of two maximal monotone operators, Strong convergence of an inertial projection and contraction method with self adaptive stepsize for pseudomonotone variational inequalities and fixed point problems, Inertial viscosity-type iterative method for solving inclusion problems with applications, Weak and strong convergence results for solving inclusion problems and its applications, STRONG CONVERGENCE OF A GENERAL VISCOSITY EXPLICIT RULE FOR THE SUM OF TWO MONOTONE OPERATORS IN HILBERT SPACES, Generalized Hybrid Viscosity-Type Forward-Backward Splitting Method with Application to Convex Minimization and Image Restoration Problems, Strong convergence of inertial forward–backward methods for solving monotone inclusions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems
- New properties of forward-backward splitting and a practical proximal-descent algorithm
- The asymptotic behavior of the composition of two resolvents
- An inertial forward-backward algorithm for monotone inclusions
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- Extension problems for accretive sets in Banach spaces
- New extragradient methods for solving variational inequality problems and fixed point problems
- Modified Tseng's extragradient algorithms for variational inequality problems
- Tseng type methods for solving inclusion problems and its applications
- Weak and strong convergence theorems for variational inequality problems
- A strong convergence result involving an inertial forward-backward algorithm for monotone inclusions
- Extragradient methods for solving non-Lipschitzian pseudo-monotone variational inequalities
- Two strong convergence subgradient extragradient methods for solving variational inequalities in Hilbert spaces
- An inertial forward-backward splitting method for solving inclusion problems in Hilbert spaces
- Convergence of a splitting inertial proximal method for monotone operators
- Viscosity approximation methods for fixed-points problems
- Shrinking projection methods involving inertial forward-backward splitting methods for inclusion problems
- Backward-forward algorithms for structured monotone inclusions in Hilbert spaces
- Algorithms for zeros of two accretive operators for solving convex minimization problems and its application to image restoration problems
- Augmented Lagrangian method for TV-\(l_1\)-\(l_2\) based colour image restoration
- A family of projective splitting methods for the sum of two maximal monotone operators
- On the maximal monotonicity of subdifferential mappings
- On the convergence of the forward–backward splitting method with linesearches
- A Generalized Forward-Backward Splitting
- Iterative Algorithms for Nonlinear Operators
- Proximal algorithm for solving monotone variational inclusion
- General Projective Splitting Methods for Sums of Maximal Monotone Operators
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Monotone Operators and the Proximal Point Algorithm
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Signal Recovery by Proximal Forward-Backward Splitting
- Convex analysis and monotone operator theory in Hilbert spaces