Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings
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Publication:5382945
DOI10.1080/02331934.2019.1573240OpenAlexW2914151704WikidataQ128469854 ScholiaQ128469854MaRDI QIDQ5382945
Duong Viet Thong, Nguyen The Vinh
Publication date: 19 June 2019
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2019.1573240
Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Parallel algorithms in computer science (68W10) Parallel numerical computation (65Y05) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- 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
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- Iterative methods for fixed point problems in Hilbert spaces
- Forward-backward splitting methods for accretive operators in Banach spaces
- Averaged mappings and the gradient-projection algorithm
- Inertial iterative process for fixed points of certain quasi-nonexpansive mappings
- An inertial forward-backward algorithm for monotone inclusions
- Regularized and inertial algorithms for common fixed points of nonlinear operators
- A family of operator splitting methods revisited
- Proximal point algorithms and four resolvents of nonlinear operators of monotone type in Banach spaces
- On the weak convergence of an ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- A multiprojection algorithm using Bregman projections in a product space
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Convergence of the gradient projection method for generalized convex minimization
- Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
- Tseng type methods for solving inclusion problems and its applications
- An inertial method for solving split common fixed point problems
- A strong convergence result involving an inertial forward-backward algorithm for monotone inclusions
- An inertial forward-backward splitting method for solving inclusion problems in Hilbert spaces
- Modified subgradient extragradient method for variational inequality problems
- Convergence of a splitting inertial proximal method for monotone operators
- On the contraction-proximal point algorithms with multi-parameters
- Viscosity approximation methods for fixed-points problems
- Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems
- Geometric properties of Banach spaces and nonlinear iterations
- On the maximal monotonicity of subdifferential mappings
- An inertial alternating direction method of multipliers
- The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than $1/k^2$
- On the convergence of the forward–backward splitting method with linesearches
- A Generalized Forward-Backward Splitting
- Iterative Algorithms for Nonlinear Operators
- A General Inertial Proximal Point Algorithm for Mixed Variational Inequality Problem
- A Hybrid Proximal-Extragradient Algorithm with Inertial Effects
- 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
- An Iterative Process for Nonlinear Monotonic Nonexpansive Operators in Hilbert Space
- THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
- Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems
- An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
- Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- ON STRONG CONVERGENCE OF HALPERN’S METHOD FOR QUASI-NONEXPANSIVE MAPPINGS IN HILBERT SPACES
- Signal Recovery by Proximal Forward-Backward Splitting
- Proximité et dualité dans un espace hilbertien
- Convex programming in Hilbert space
- Some methods of speeding up the convergence of iteration methods
- On the Set of Subsequential Limit Points of Successive Approximations
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- Fixed points of quasi-nonexpansive mappings
- Mean Value Methods in Iteration
- Convex analysis and monotone operator theory in Hilbert spaces
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping