Suchergebnisse - reflected forward-backward splitting algorithm
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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 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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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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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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A Primal-dual Backward Reflected Forward Splitting Algorithm for Structured Monotone Inclusions
ISSN: 0251-4184, 2315-4144Veröffentlicht: Singapore Springer Nature Singapore 01.06.2024Veröffentlicht 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, 2473-6988Veröffentlicht: AIMS Press 01.01.2023Veröffentlicht 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, 1573-7691Veröffentlicht: 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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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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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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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)“… –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: 0096-3003Veröffentlicht: Elsevier Inc 15.09.2020Veröffentlicht 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, 1862-4480Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2025Veröffentlicht 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, 1862-4480Veröffentlicht: 01.04.2025Veröffentlicht in Optimization letters (01.04.2025)Volltext
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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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Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm
ISSN: 0233-1934, 1029-4945Veröffentlicht: 26.06.2025Veröffentlicht in Optimization (26.06.2025)Volltext
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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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Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities
ISSN: 0377-0427, 1879-1778Veröffentlicht: Elsevier B.V 01.07.2023Veröffentlicht 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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