Search Results - Reflected–forward–backward algorithm*

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  1. 1

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

    ISSN: 0377-0427
    Published: 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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    Journal Article
  2. 2

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

    ISSN: 0233-1934, 1029-4945
    Published: Taylor & Francis 18.11.2025
    Published 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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  3. 3

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

    ISSN: 1862-4472, 1862-4480
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
    Published 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
  5. 5

    Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator by Cao, Yu, Wang, Yuanheng, Ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih

    ISSN: 1007-5704
    Published: Elsevier B.V 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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  6. 6

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

    ISSN: 1007-5704
    Published: 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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  7. 7

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

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.12.2025
    Published 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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  8. 8

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

    ISSN: 1055-6788, 1029-4937
    Published: Abingdon Taylor & Francis 03.03.2024
    Published 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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  9. 9

    Inertial Stochastic Reflected Forward Backward Method with Applications to Traffic Network Problems by Izuchukwu, Chinedu, Alakoya, Timilehin Opeyemi, Moutari, Salissou, Zeng, Shengda

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 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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  10. 10

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

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 16.12.2024
    Published 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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    Paper
  11. 11

    A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators by Cevher, Volkan, Vũ, Bằng Công

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.03.2021
    Published 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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    Journal Article
  12. 12

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

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 17.02.2021
    Published 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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    Paper
  13. 13

    Two New Splitting Methods for Three-Operator Monotone Inclusions in Hilbert Spaces by Nguyen, Van Dung, Vinh, Nguyen The

    ISSN: 1877-0533, 1877-0541
    Published: Dordrecht Springer Netherlands 01.09.2024
    Published 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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  14. 14

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

    ISSN: 1007-5704
    Published: 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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  15. 15

    An outer reflected forward-backward splitting algorithm for solving monotone inclusions by Yu, Hui, Zong, Chunxiang, Tang, Yuchao

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 26.09.2020
    Published 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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  16. 16
  17. 17

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

    ISSN: 0096-3003
    Published: Elsevier Inc 15.09.2020
    Published in Applied mathematics and computation (15.09.2020)
    “…•We develop two splitting algorithms for finding a zero of the sum of three monotone operators, one of which is assumed to be Lipschitz continuous…”
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  18. 18

    Stochastic Generalized Nash Equilibrium Seeking: Reflected Gradient Methods by Su, Enbing, Cheng, Peng, Hu, Zhihuan, Li, Li, Zhang, Weidong

    ISSN: 2168-2216, 2168-2232
    Published: IEEE 01.11.2025
    “… In a full-decision information setting, we develop a novel distributed stochastic reflected forward-backward (FB…”
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  19. 19

    Four-operator splitting algorithms for solving monotone inclusions by Chen, Jinjian, Tang, Yuchao

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 17.04.2022
    Published in arXiv.org (17.04.2022)
    “… These three splitting algorithms are based on the forward-reflected-Douglas-Rachford splitting algorithm, backward-forward-reflected-backward splitting algorithm, and backward-reflected-forward…”
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  20. 20

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

    ISSN: 0022-3239, 1573-2878
    Published: 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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