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Relaxed Inertial Tseng’s Type Method for Solving the Inclusion Problem with Application to Image Restoration

https://doi.org/10.3390/math8050818
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Tseng methods with inertial for solving inclusion problems and application to image deblurring and image recovery problems
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Convex Analysis and Monotone Operator Theory in Hilbert Spaces
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Convex Analysis and Monotone Operator Theory in Hilbert Spaces
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Combined Relaxation Methods for Variational Inequalities
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On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators
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A multiprojection algorithm using Bregman projections in a product space
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An inertial-like proximal algorithm for equilibrium problems
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Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions
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Tseng type methods for solving inclusion problems and its applications
inferredcites →https://doi.org/10.1007/s10107-019-01412-0openalex-snapshot
Convergence of a relaxed inertial proximal algorithm for maximally monotone operators
inferredcites →https://doi.org/10.1007/s10589-019-00165-yopenalex-snapshot
Relative-error inertial-relaxed inexact versions of Douglas-Rachford and ADMM splitting algorithms
inferredcites →https://doi.org/10.1007/s10851-014-0523-2openalex-snapshot
An Inertial Forward-Backward Algorithm for Monotone Inclusions
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A new Hybrid Projection Algorithm for Solving the Split Generalized Equilibrium Problems and the System of Variational Inequality Problems
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Inertial projection and contraction algorithms for variational inequalities
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On Inexact Relative-Error Hybrid Proximal Extragradient, Forward-Backward and Tseng’s Modified Forward-Backward Methods with Inertial Effects
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A new hybrid extragradient algorithm for solving the equilibrium and variational inequality problems
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Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators
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Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions
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Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
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Some methods of speeding up the convergence of iteration methods
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Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
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New properties of forward–backward splitting and a practical proximal-descent algorithm
inferredcites →https://doi.org/10.1016/j.amc.2014.09.118openalex-snapshot
Solutions of system of equilibrium and variational inequality problems on fixed points of infinite family of nonexpansive mappings
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Inertial Douglas–Rachford splitting for monotone inclusion problems
inferredcites →https://doi.org/10.1016/j.cam.2018.03.019openalex-snapshot
Inertial extragradient algorithms for strongly pseudomonotone variational inequalities
inferredcites →https://doi.org/10.1016/j.jmaa.2005.08.076openalex-snapshot
Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in real Banach space
inferredcites →https://doi.org/10.1016/j.jmaa.2016.06.025openalex-snapshot
Backward–forward algorithms for structured monotone inclusions in Hilbert spaces
inferredcites →https://doi.org/10.1016/s0377-0427(02)00906-8openalex-snapshot
Convergence of a splitting inertial proximal method for monotone operators
inferredcites →https://doi.org/10.1023/a:1011253113155openalex-snapshot
An Inertial Proximal Method for Maximal Monotone Operators via Discretization of a Nonlinear Oscillator with Damping
inferredcites →https://doi.org/10.1080/00207160.2019.1649661openalex-snapshot
Inertial viscosity forward–backward splitting algorithm for monotone inclusions and its application to image restoration problems
inferredcites →https://doi.org/10.1080/02331934.2019.1646742openalex-snapshot
Generalized Halpern-type forward–backward splitting methods for convex minimization problems with application to image restoration problems
inferredcites →https://doi.org/10.1080/02331934.2019.1696337openalex-snapshot
Convergence rate of a relaxed inertial proximal algorithm for convex minimization
inferredcites →https://doi.org/10.1080/03155986.1991.11732174openalex-snapshot
Application Of Khobotov’s Algorithm To Variational Inequalities And Network Equilibrium Problems
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A generic online acceleration scheme for optimization algorithms via relaxation and inertia
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A unified approach for inversion problems in intensity-modulated radiation therapy
inferredcites →https://doi.org/10.1088/0266-5611/18/2/310openalex-snapshot
Iterative oblique projection onto convex sets and the split feasibility problem
inferredcites →https://doi.org/10.1088/0266-5611/20/1/006openalex-snapshot
A unified treatment of some iterative algorithms in signal processing and image reconstruction
inferredcites →https://doi.org/10.1088/0266-5611/21/6/017openalex-snapshot
The multiple-sets split feasibility problem and its applications for inverse problems
inferredcites →https://doi.org/10.1090/s0002-9904-1964-11178-2openalex-snapshot
Convex programming in Hilbert space
inferredcites →https://doi.org/10.1090/s0002-9904-1967-11761-0openalex-snapshot
Weak convergence of the sequence of successive approximations for nonexpansive mappings
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A general methodology for designing globally convergent optimization neural networks
inferredcites →https://doi.org/10.1109/tip.2003.819861openalex-snapshot
Image quality assessment: from error visibility to structural similarity
inferredcites →https://doi.org/10.1137/0314056openalex-snapshot
Monotone Operators and the Proximal Point Algorithm
inferredcites →https://doi.org/10.1137/050626090openalex-snapshot
Signal Recovery by Proximal Forward-Backward Splitting
inferredcites →https://doi.org/10.1137/0716071openalex-snapshot
Splitting Algorithms for the Sum of Two Nonlinear Operators
inferredcites →https://doi.org/10.1137/1.9780898719451openalex-snapshot
An Introduction to Variational Inequalities and Their Applications
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On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
inferredcites →https://doi.org/10.1137/s0363012998338806openalex-snapshot
A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
inferredcites →https://doi.org/10.1186/s13660-019-2233-1openalex-snapshot
Weak convergence of explicit extragradient algorithms for solving equilibirum problems
inferredcites →https://doi.org/10.1201/9781315228969-4openalex-snapshot
Variational and Quasi-Variational Inequalities
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Numerical Analysis of Variational Inequalities.
inferredcites →https://doi.org/10.3390/math7121175openalex-snapshot
Tseng Type Methods for Inclusion and Fixed Point Problems with Applications
inferredcites →https://doi.org/10.3390/math8030378openalex-snapshot
A Fast Image Restoration Algorithm Based on a Fixed Point and Optimization Method
inferredcites →https://doi.org/10.3390/math8040609openalex-snapshot
Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A unified scheme for solving split inclusions with applications
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Accelerated derivative‐free method for nonlinear monotone equations with an application
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Forward-Reflected-Backward Method with Extrapolation and Linesearch for Monotone Inclusion Problems
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A Modified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems
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A Relaxed Forward-Backward-Forward Algorithm with Alternated Inertial Step: Weak and Linear Convergence
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Hybrid LS-CD-type CGP algorithm with inertial relaxation for constrained nonlinear equations and sparse signal recovery
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Inertial Halpern-type Tseng’s method for approximating a solution to monotone inclusion problems with fixed point constraint
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A stochastic recursive gradient algorithm with inertial extrapolation for non-convex problems and machine learning
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A class of relaxed-inertial derivative-free projection method beyond monotonicity with application
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A New Numerically Fast Relaxed Forward–Backward–Forward Algorithm with Applications to Compressed Sensing and Image Processing
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An inertial Halpern-type algorithm involving monotone operators on real Banach spaces with application to image recovery problems
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A relaxed splitting method for solving variational inclusion and fixed point problems
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Relaxed-inertial derivative-free algorithm for systems of nonlinear pseudo-monotone equations
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Relaxed viscosity-type iterative methods with application to compressed sensing
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Hybrid Iterative Scheme for Variational Inequality Problem Involving Pseudo-monotone Operator with Application in Signal Recovery
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Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator
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An inertial conjugate gradient projection method for large-scale nonlinear equations and its application in the image restoration problems
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A three-term Polak-Ribière-Polyak derivative-free method and its application to image restoration
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Forward-backward-forward algorithm with golden ratio momentum
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Regularized Tseng methods with double inertial steps for inclusion problems
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Generalized relaxed inertial method with regularization for solving split feasibility problems in real Hilbert spaces
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Shrinking Projection Methods for Accelerating Relaxed Inertial Tseng-Type Algorithm with Applications
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A method with inertial extrapolation step for convex constrained monotone equations
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An improved fast iterative shrinkage thresholding algorithm with an error for image deblurring problem
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A Stochastic Recursive Gradient Algorithm with Inertial Extrapolation for Non-convex Problems and machine learning
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An Inertial Forward–Backward Splitting Method for Solving Modified Variational Inclusion Problems and Its Application
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Fixed Points of Enriched Mappings with General Real Constants
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A Modified Tseng’s Method for Solving the Modified Variational Inclusion Problems and Its Applications
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An inertial iterative scheme for solving variational inclusion with application to Nash-Cournot equilibrium and image restoration problems
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