Search Results - reflected forward-backward splitting algorithm
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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 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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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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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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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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A Primal-dual Backward Reflected Forward Splitting Algorithm for Structured Monotone Inclusions
ISSN: 0251-4184, 2315-4144Published: Singapore Springer Nature Singapore 01.06.2024Published in Acta mathematica vietnamica (01.06.2024)“…We propose a primal-dual backward reflected forward splitting method for solving structured primal-dual monotone inclusions in real Hilbert spaces…”
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Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces
ISSN: 2473-6988, 2473-6988Published: AIMS Press 01.01.2023Published in AIMS mathematics (01.01.2023)“… In this paper, we introduce a non-traditional forward-backward splitting method for solving such minimization problem…”
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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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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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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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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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Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms
ISSN: 2314-4629, 2314-4785Published: John Wiley & Sons, Inc 01.01.2025Published 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, 1807-0302Published: Cham Springer International Publishing 01.12.2023Published in Computational & applied mathematics (01.12.2023)“…–backward splitting algorithm of Malitsky and Tam in a real Hilbert space. Our proposed algorithm converges strongly to a zero of the sum of a set-valued maximal monotone operator and a single-valued monotone Lipschitz continuous operator…”
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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)“…•The inspiration for the proposed algorithms arises from interpretations of the reflected splitting algorithms as discretisations of the continuous-time proximal point algorithm…”
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A modification of the forward–backward splitting method for monotone inclusions: A modification of the forward–backward splitting method
ISSN: 1862-4472, 1862-4480Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2025Published in Optimization letters (01.04.2025)“… By specializing in two operator inclusion, we recover the forward–backward and the generalization of the reflected-forward…”
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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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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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Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm
ISSN: 0233-1934, 1029-4945Published: 26.06.2025Published in Optimization (26.06.2025)Get full text
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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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Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities
ISSN: 0377-0427, 1879-1778Published: Elsevier B.V 01.07.2023Published in Journal of computational and applied mathematics (01.07.2023)“…This paper presents a modification of a recently studied Malitsky–Tam forward-reflected-backward splitting method with two-step inertial extrapolation to solve nonconvex mixed variational inequalities…”
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