Výsledky vyhledávání - Reflected–forward–backward algorithm

  1. 1

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

    ISSN: 1007-5704
    Vydáno: 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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    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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    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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    Inertial Stochastic Reflected Forward Backward Method with Applications to Traffic Network Problems Autor Izuchukwu, Chinedu, Alakoya, Timilehin Opeyemi, Moutari, Salissou, Zeng, Shengda

    ISSN: 0022-3239, 1573-2878
    Vydáno: 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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    Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints Autor Bot, Radu Ioan, Nguyen, Dang-Khoa, Zong, Chunxiang

    ISSN: 2331-8422
    Vydáno: Ithaca Cornell University Library, arXiv.org 16.12.2024
    Vydáno v 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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    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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    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 New Splitting Methods for Three-Operator Monotone Inclusions in Hilbert Spaces Autor Nguyen, Van Dung, Vinh, Nguyen The

    ISSN: 1877-0533, 1877-0541
    Vydáno: Dordrecht Springer Netherlands 01.09.2024
    Vydáno v 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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    A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators Autor Cevher, Volkan, Vũ, Bằng Công

    ISSN: 1877-0533, 1877-0541
    Vydáno: Dordrecht Springer Netherlands 01.03.2021
    Vydáno v 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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    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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    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)
    “…The main purpose of this paper is to propose and study a two-step inertial anchored version of the forwardreflected…”
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    Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity Autor Cao, Yu, Wang, Yuanheng, ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih

    ISSN: 0022-3239, 1573-2878
    Vydáno: New York Springer US 01.10.2024
    “…In this paper, we propose a new splitting algorithm to find the zero of a monotone inclusion problem that features the sum of three maximal monotone operators and a Lipschitz continuous monotone…”
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