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A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm,...
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Malitsky-Tam forward-reflected-backward splitting method for nonconvex minimization problems
We extend the Malitsky-Tam forward-reflected-backward (FRB) splitting method for inclusion problems of monotone operators to nonconvex minimization...
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A modification of the forward–backward splitting method for monotone inclusions
In this work, we propose a new splitting method for monotone inclusion problems with three operators in real Hilbert spaces, in which one is maximal...
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On the weak and strong convergence of modified forward-backward-half-forward splitting methods
This paper investigates two modified forward-backward-half-forward splitting methods for solving three-operator monotone inclusion problems. The...
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Stochastic projective splitting
We present a new, stochastic variant of the projective splitting (PS) family of algorithms for inclusion problems involving the sum of any finite...
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A Projective Splitting Method for Monotone Inclusions: Iteration-Complexity and Application to Composite Optimization
We propose an inexact projective splitting method to solve the problem of finding a zero of a sum of maximal monotone operators. We perform...
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Forward-partial inverse-half-forward splitting algorithm for solving monotone inclusions
In this paper we provide a splitting algorithm for solving coupled monotone inclusions in a real Hilbert space involving the sum of a normal cone to...
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Four-Operator Splitting via a Forward–Backward–Half-Forward Algorithm with Line Search
In this article, we provide a splitting method for solving monotone inclusions in a real Hilbert space involving four operators: a maximally...
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Two-step inertial forward–reflected–anchored–backward splitting algorithm for solving monotone inclusion problems
The main purpose of this paper is to propose and study a two-step inertial anchored version of the forward–reflected–backward splitting algorithm of...
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Strong convergence theorems for inertial Tseng’s extragradient method for solving variational inequality problems and fixed point problems
The aim of this paper is to introduce a new inertial Tseng’s extragradient algorithm for solving variational inequality problems with pseudo-monotone...
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An Inertial Semi-forward-reflected-backward Splitting and Its Application
Inertial methods play a vital role in accelerating the convergence speed of optimization algorithms. This work is concerned with an inertial...
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A Mirror Inertial Forward–Reflected–Backward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness
This work investigates a Bregman and inertial extension of the forward–reflected–backward algorithm (Malitsky and Tam in SIAM J Optim 30:1451–1472,...
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Single-forward-step projective splitting: exploiting cocoercivity
This work describes a new variant of projective splitting for solving maximal monotone inclusions and complicated convex optimization problems. In...
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A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators
In this paper, we propose a novel splitting method for finding a zero point of the sum of two monotone operators where one of them is Lipschizian....
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An Accelerated Tensorial Double Proximal Gradient Method for Total Variation Regularization Problem
We consider the constrained tensorial total variation minimization problem for regularizing ill-posed multidimensional problems arising in many...
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Extragradient-type methods with \(\mathcal {O}\left( 1/k\right) \) last-iterate convergence rates for co-hypomonotone inclusions
We develop two “Nesterov’s accelerated” variants of the well-known extragradient method to approximate a solution of a co-hypomonotone inclusion...
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A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces
We introduce a Tseng extragradient method for solving monotone inclusion problem in Banach space. A strong convergence result of an Halpern inertial...
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Weak convergence of an extended splitting method for monotone inclusions
In this article, we consider the problem of finding zeros of monotone inclusions of three operators in real Hilbert spaces, where the first...
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A Bregman inertial forward-reflected-backward method for nonconvex minimization
We propose a Bregman inertial forward-reflected-backward (BiFRB) method for nonconvex composite problems. Assuming the generalized concave...
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Strong Convergence of an Inertial Extragradient Method with an Adaptive Nondecreasing Step Size for Solving Variational Inequalities
In this work, we investigate a classical pseudomonotone and Lipschitz continuous variational inequality in the setting of Hilbert space, and present...