Suchergebnisse - 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: 0377-0427Veröffentlicht: Elsevier B.V 01.05.2025Veröffentlicht 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, 1029-4945Veröffentlicht: Taylor & Francis 18.11.2025Veröffentlicht 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, 1862-4480Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022Veröffentlicht 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: 0016-0032Veröffentlicht: 01.01.2024Veröffentlicht in Journal of the Franklin Institute (01.01.2024)Volltext
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Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator
ISSN: 1007-5704Veröffentlicht: Elsevier B.V 01.02.2026Veröffentlicht 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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Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints
ISSN: 0885-7474, 1573-7691Veröffentlicht: New York Springer US 01.12.2025Veröffentlicht 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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Perturbed reflected forward backward splitting algorithm for monotone inclusion
ISSN: 1007-5704Veröffentlicht: Elsevier B.V 01.03.2025Veröffentlicht 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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Three-operator reflected forward-backward splitting algorithm with double inertial effects
ISSN: 1055-6788, 1029-4937Veröffentlicht: Abingdon Taylor & Francis 03.03.2024Veröffentlicht 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, 1573-2878Veröffentlicht: New York Springer US 01.11.2025Veröffentlicht 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: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 16.12.2024Veröffentlicht 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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Convergence analysis of the stochastic reflected forward-backward splitting algorithm
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 17.02.2021Veröffentlicht 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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An outer reflected forward-backward splitting algorithm for solving monotone inclusions
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 26.09.2020Veröffentlicht 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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Application of a reflected forward backward splitting method with momentum to a fractional-order lung cancer model
ISSN: 1007-5704Veröffentlicht: Elsevier B.V 01.12.2025Veröffentlicht 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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Two New Splitting Methods for Three-Operator Monotone Inclusions in Hilbert Spaces
ISSN: 1877-0533, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.09.2024Veröffentlicht 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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A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators
ISSN: 1877-0533, 1877-0541Veröffentlicht: Dordrecht Springer Netherlands 01.03.2021Veröffentlicht 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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Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results
ISSN: 0022-3239, 1573-2878Veröffentlicht: New York Springer US 01.06.2024Veröffentlicht 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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A modification of the forward–backward splitting method for monotone inclusions
ISSN: 1862-4472, 1862-4480Veröffentlicht: 01.04.2025Veröffentlicht in Optimization letters (01.04.2025)Volltext
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Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms
ISSN: 2314-4629, 2314-4785Veröffentlicht: John Wiley & Sons, Inc 01.01.2025Veröffentlicht in Journal of Mathematics (01.01.2025)“… –Tam’s splitting algorithm and its inertial version …”
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Two-step inertial forward–reflected–anchored–backward splitting algorithm for solving monotone inclusion problems
ISSN: 2238-3603, 1807-0302Veröffentlicht: Cham Springer International Publishing 01.12.2023Veröffentlicht in Computational & applied mathematics (01.12.2023)“… The main purpose of this paper is to propose and study a two-step inertial anchored version of the forward–reflected …”
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Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity
ISSN: 0022-3239, 1573-2878Veröffentlicht: New York Springer US 01.10.2024Veröffentlicht in Journal of optimization theory and applications (01.10.2024)“… In this paper, we propose a new splitting algorithm to find the zero of a monotone inclusion problem that features the sum of three maximal monotone operators and a Lipschitz continuous monotone …”
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