Search Results - Reflected–forward–backward algorithm*
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Convergence of an inertial reflected–forward–backward splitting algorithm for solving monotone inclusion problems with application to image recovery
ISSN: 0377-0427Published: Elsevier B.V 01.05.2025Published in Journal of computational and applied mathematics (01.05.2025)“…We first propose a reflected–forward–backward splitting algorithm with two inertial effects for solving monotone inclusions and then establish that the sequence of iterates it generates converges weakly in a real Hilbert space to a zero…”
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Outer reflected forward-backward splitting algorithm with inertial extrapolation step
ISSN: 0233-1934, 1029-4945Published: Taylor & Francis 18.11.2025Published in Optimization (18.11.2025)“…This paper studies an outer reflected forward-backward splitting algorithm with an inertial step to find a zero of the sum of three monotone operators composing the maximal monotone operator…”
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Convergence analysis of the stochastic reflected forward–backward splitting algorithm
ISSN: 1862-4472, 1862-4480Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022Published in Optimization letters (01.12.2022)“…We propose and analyze the convergence of a novel stochastic algorithm for solving monotone inclusions that are the sum of a maximal monotone operator and a monotone, Lipschitzian operator…”
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Distributed generalized Nash equilibrium seeking: A backward-reflected-forward-backward-based algorithm
ISSN: 0016-0032Published: 01.01.2024Published in Journal of the Franklin Institute (01.01.2024)Get full text
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Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator
ISSN: 1007-5704Published: Elsevier B.V 01.02.2026Published in Communications in nonlinear science & numerical simulation (01.02.2026)“…In this work, using a discretisation of continuous-time dynamical systems, we design a novel splitting algorithm without the lifting technique for finding the sum of three maximal monotone operators…”
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Perturbed reflected forward backward splitting algorithm for monotone inclusion
ISSN: 1007-5704Published: Elsevier B.V 01.03.2025Published in Communications in nonlinear science & numerical simulation (01.03.2025)“…In this paper, we investigate a new reflected forward–backward splitting algorithm with self-adaptive step sizes to solve monotone inclusion problems…”
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Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.12.2025Published in Journal of scientific computing (01.12.2025)“…In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone operator and a monotone and Lipschitz continuous operator in a real Hilbert space…”
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Three-operator reflected forward-backward splitting algorithm with double inertial effects
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 03.03.2024Published in Optimization methods & software (03.03.2024)“…In this paper, we propose a reflected forward-backward splitting algorithm with two different inertial extrapolations to find a zero of the sum of three monotone operators consisting of the maximal…”
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Inertial Stochastic Reflected Forward Backward Method with Applications to Traffic Network Problems
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.11.2025Published in Journal of optimization theory and applications (01.11.2025)“…This paper introduces a new inertial stochastic reflected-forward-backward splitting method aimed at addressing monotone inclusion problems, specifically involving a maximal monotone set-valued…”
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Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 16.12.2024Published in arXiv.org (16.12.2024)“…In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone operator and a monotone and Lipschitz continuous operator in a real Hilbert space…”
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A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators
ISSN: 1877-0533, 1877-0541Published: Dordrecht Springer Netherlands 01.03.2021Published in Set-valued and variational analysis (01.03.2021)“…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. The weak…”
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Convergence analysis of the stochastic reflected forward-backward splitting algorithm
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 17.02.2021Published in arXiv.org (17.02.2021)“…We propose and analyze the convergence of a novel stochastic algorithm for solving monotone inclusions that are the sum of a maximal monotone operator and a monotone, Lipschitzian operator…”
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Two New Splitting Methods for Three-Operator Monotone Inclusions in Hilbert Spaces
ISSN: 1877-0533, 1877-0541Published: Dordrecht Springer Netherlands 01.09.2024Published in Set-valued and variational analysis (01.09.2024)“… These methods are based on the combination of Douglas-Rachford method and other methods, forward-backward-forward method and reflected-forward-backward method…”
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Application of a reflected forward backward splitting method with momentum to a fractional-order lung cancer model
ISSN: 1007-5704Published: Elsevier B.V 01.12.2025Published in Communications in nonlinear science & numerical simulation (01.12.2025)“…We introduce in this paper, a reflected-forward–backward splitting method that integrates momentum terms to improve the resolution of monotone inclusion…”
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An outer reflected forward-backward splitting algorithm for solving monotone inclusions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.09.2020Published in arXiv.org (26.09.2020)“… reflected forward-backward splitting algorithm. Under mild conditions on the iterative parameters, we prove the convergence of the proposed algorithm…”
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A modification of the forward–backward splitting method for monotone inclusions
ISSN: 1862-4472, 1862-4480Published: 01.04.2025Published in Optimization letters (01.04.2025)Get full text
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Backward-Forward-Reflected-Backward Splitting for Three Operator Monotone Inclusions
ISSN: 0096-3003Published: Elsevier Inc 15.09.2020Published in Applied mathematics and computation (15.09.2020)“…•We develop two splitting algorithms for finding a zero of the sum of three monotone operators, one of which is assumed to be Lipschitz continuous…”
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Stochastic Generalized Nash Equilibrium Seeking: Reflected Gradient Methods
ISSN: 2168-2216, 2168-2232Published: IEEE 01.11.2025Published in IEEE transactions on systems, man, and cybernetics. Systems (01.11.2025)“… In a full-decision information setting, we develop a novel distributed stochastic reflected forward-backward (FB…”
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Four-operator splitting algorithms for solving monotone inclusions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 17.04.2022Published in arXiv.org (17.04.2022)“… These three splitting algorithms are based on the forward-reflected-Douglas-Rachford splitting algorithm, backward-forward-reflected-backward splitting algorithm, and backward-reflected-forward…”
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Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.06.2024Published in Journal of optimization theory and applications (01.06.2024)“…This paper studies the forward–reflected–backward splitting algorithm with momentum terms for monotone inclusion problem of the sum of a maximal monotone and Lipschitz continuous monotone operators in Hilbert spaces. The forward–reflected…”
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