Suchergebnisse - reflected forward-backward splitting algorithm

  1. 1

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

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Taylor & Francis 18.11.2025
    Veröffentlicht 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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  2. 2

    Convergence of an inertial reflectedforwardbackward splitting algorithm for solving monotone inclusion problems with application to image recovery von Izuchukwu, Chinedu, Reich, Simeon, Shehu, Yekini

    ISSN: 0377-0427
    Veröffentlicht: Elsevier B.V 01.05.2025
    Veröffentlicht in Journal of computational and applied mathematics (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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  3. 3

    Convergence analysis of the stochastic reflected forwardbackward splitting algorithm von Nguyen, Van Dung, Vũ, Bắng Công

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
    Veröffentlicht 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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  4. 4

    Perturbed reflected forward backward splitting algorithm for monotone inclusion von Tan, Bing, Shehu, Yekini, Li, Tiexiang, Qin, Xiaolong

    ISSN: 1007-5704
    Veröffentlicht: 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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  5. 5

    Three-operator reflected forward-backward splitting algorithm with double inertial effects von Dong, Qiao-Li, Su, Min, Shehu, Yekini

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

    ISSN: 0251-4184, 2315-4144
    Veröffentlicht: Singapore Springer Nature Singapore 01.06.2024
    Veröffentlicht 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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  7. 7

    Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces von Guan, Weibo, Song, Wen

    ISSN: 2473-6988, 2473-6988
    Veröffentlicht: AIMS Press 01.01.2023
    Veröffentlicht 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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  8. 8

    Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints von Boţ, Radu Ioan, Nguyen, Dang-Khoa, Zong, Chunxiang

    ISSN: 0885-7474, 1573-7691
    Veröffentlicht: New York Springer US 01.12.2025
    Veröffentlicht 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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  9. 9

    ForwardReflectedBackward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results von Yao, Yonghong, Adamu, Abubakar, Shehu, Yekini

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.06.2024
    Veröffentlicht in Journal of optimization theory and applications (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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  10. 10

    Convergence analysis of the stochastic reflected forward-backward splitting algorithm von Nguyen Van Dung, Bang Cong Vu

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

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 26.09.2020
    Veröffentlicht 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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  12. 12

    Two Relaxed Inertial ForwardReflectedBackward Splitting Algorithms With Momentum Terms von Zhang, Binbin, Guan, Ximeng, Yin, Chenhao

    ISSN: 2314-4629, 2314-4785
    Veröffentlicht: John Wiley & Sons, Inc 01.01.2025
    Veröffentlicht in Journal of Mathematics (01.01.2025)
    “… –Tam’s splitting algorithm and its inertial version …”
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  13. 13

    Two-step inertial forwardreflected–anchored–backward splitting algorithm for solving monotone inclusion problems von Izuchukwu, Chinedu, Aphane, Maggie, Aremu, Kazeem Olalekan

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.12.2023
    Veröffentlicht 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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  14. 14

    Backward-Forward-Reflected-Backward Splitting for Three Operator Monotone Inclusions von Rieger, Janosch, Tam, Matthew K.

    ISSN: 0096-3003
    Veröffentlicht: Elsevier Inc 15.09.2020
    Veröffentlicht 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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  15. 15

    A modification of the forwardbackward splitting method for monotone inclusions: A modification of the forwardbackward splitting method von Nguyen, Van Dung

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2025
    Veröffentlicht in 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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    A modification of the forwardbackward splitting method for monotone inclusions von Nguyen, Van Dung

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: 01.04.2025
    Veröffentlicht in Optimization letters (01.04.2025)
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  17. 17

    Application of a reflected forward backward splitting method with momentum to a fractional-order lung cancer model von Izuchukwu, Chinedu, Amilo, David, Sadri, Khadijeh, Yao, Hao-Ren, Yao, Jen-Chih

    ISSN: 1007-5704
    Veröffentlicht: 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 von Izuchukwu, Chinedu, Shehu, Yekini, Dong, Qiao-Li

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 01.07.2023
    Veröffentlicht 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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