Výsledky vyhledávání - reflected forward-backward splitting algorithm

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    Outer reflected forward-backward splitting algorithm with inertial extrapolation step Autor Shehu, Yekini, Jolaoso, Lateef O., Okeke, C. C., Xu, Renqi

    ISSN: 0233-1934, 1029-4945
    Vydáno: Taylor & Francis 18.11.2025
    Vydáno v 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 reflectedforwardbackward splitting algorithm for solving monotone inclusion problems with application to image recovery Autor Izuchukwu, Chinedu, Reich, Simeon, Shehu, Yekini

    ISSN: 0377-0427
    Vydáno: Elsevier B.V 01.05.2025
    “…We first propose a reflectedforwardbackward 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 forwardbackward splitting algorithm Autor Nguyen, Van Dung, Vũ, Bắng Công

    ISSN: 1862-4472, 1862-4480
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
    Vydáno v 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 Autor Tan, Bing, Shehu, Yekini, Li, Tiexiang, Qin, Xiaolong

    ISSN: 1007-5704
    Vydáno: Elsevier B.V 01.03.2025
    “…In this paper, we investigate a new reflected forwardbackward 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 Autor Dong, Qiao-Li, Su, Min, Shehu, Yekini

    ISSN: 1055-6788, 1029-4937
    Vydáno: Abingdon Taylor & Francis 03.03.2024
    Vydáno v 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 Autor Bằng, Vũ Công, Papadimitriou, Dimitri, Nhâm, Vũ Xuân

    ISSN: 0251-4184, 2315-4144
    Vydáno: Singapore Springer Nature Singapore 01.06.2024
    Vydáno v 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 Autor Guan, Weibo, Song, Wen

    ISSN: 2473-6988, 2473-6988
    Vydáno: AIMS Press 01.01.2023
    Vydáno v 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 Autor Boţ, Radu Ioan, Nguyen, Dang-Khoa, Zong, Chunxiang

    ISSN: 0885-7474, 1573-7691
    Vydáno: New York Springer US 01.12.2025
    Vydáno v 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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    ForwardReflectedBackward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results Autor Yao, Yonghong, Adamu, Abubakar, Shehu, Yekini

    ISSN: 0022-3239, 1573-2878
    Vydáno: New York Springer US 01.06.2024
    “…This paper studies the forwardreflectedbackward 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 forwardreflected…”
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    Convergence analysis of the stochastic reflected forward-backward splitting algorithm Autor Nguyen Van Dung, Bang Cong Vu

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 17.02.2021
    Vydáno v 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 Autor Yu, Hui, Zong, Chunxiang, Tang, Yuchao

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 26.09.2020
    Vydáno v 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 ForwardReflectedBackward Splitting Algorithms With Momentum Terms Autor Zhang, Binbin, Guan, Ximeng, Yin, Chenhao

    ISSN: 2314-4629, 2314-4785
    Vydáno: John Wiley & Sons, Inc 01.01.2025
    Vydáno v Journal of Mathematics (01.01.2025)
    “…–Tam’s splitting algorithm and its inertial version…”
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    Two-step inertial forwardreflected–anchored–backward splitting algorithm for solving monotone inclusion problems Autor Izuchukwu, Chinedu, Aphane, Maggie, Aremu, Kazeem Olalekan

    ISSN: 2238-3603, 1807-0302
    Vydáno: Cham Springer International Publishing 01.12.2023
    Vydáno v 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 Autor Rieger, Janosch, Tam, Matthew K.

    ISSN: 0096-3003
    Vydáno: Elsevier Inc 15.09.2020
    Vydáno v 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 forwardbackward splitting method for monotone inclusions: A modification of the forwardbackward splitting method Autor Nguyen, Van Dung

    ISSN: 1862-4472, 1862-4480
    Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2025
    Vydáno v Optimization letters (01.04.2025)
    “… By specializing in two operator inclusion, we recover the forwardbackward and the generalization of the reflected-forward…”
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    Application of a reflected forward backward splitting method with momentum to a fractional-order lung cancer model Autor Izuchukwu, Chinedu, Amilo, David, Sadri, Khadijeh, Yao, Hao-Ren, Yao, Jen-Chih

    ISSN: 1007-5704
    Vydáno: Elsevier B.V 01.12.2025
    “…We introduce in this paper, a reflected-forwardbackward splitting method that integrates momentum terms to improve the resolution of monotone inclusion…”
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    Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities Autor Izuchukwu, Chinedu, Shehu, Yekini, Dong, Qiao-Li

    ISSN: 0377-0427, 1879-1778
    Vydáno: Elsevier B.V 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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