Search Results - "Forward–reflected–backward splitting algorithm"

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

    ISSN: 2473-6988, 2473-6988
    Published: AIMS Press 01.01.2023
    Published in AIMS mathematics (01.01.2023)
    “…Consider the problem of minimizing the sum of two convex functions, one being smooth and the other non-smooth in Banach space. In this paper, we introduce a…”
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    Journal Article
  3. 3

    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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    Journal Article
  4. 4

    New accelerated splitting algorithm for monotone inclusion problems by Jolaoso, Lateef O., Shehu, Yekini, Xu, Hong-Kun

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 17.02.2025
    Published in Optimization (17.02.2025)
    “…Forward-reflected-backward splitting algorithm with inertial extrapolation of two inertial effects to find a zero of the sum of a maximal monotone and a Lipschitz continuous monotone operator is studied in this paper…”
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    Journal Article
  5. 5

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

    ISSN: 2314-4629, 2314-4785
    Published: John Wiley & Sons, Inc 01.01.2025
    Published in Journal of Mathematics (01.01.2025)
    “…In this paper, to solve the monotone inclusion problem consisting of the sum of two monotone operators in Hilbert spaces, we propose and study two…”
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    Journal Article
  6. 6

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

    ISSN: 2238-3603, 1807-0302
    Published: Cham Springer International Publishing 01.12.2023
    Published 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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    Journal Article
  7. 7

    An Inertial Semi-forward-reflected-backward Splitting and Its Application by Zong, Chun Xiang, Tang, Yu Chao, Zhang, Guo Feng

    ISSN: 1439-8516, 1439-7617
    Published: Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.02.2022
    Published in Acta mathematica Sinica. English series (01.02.2022)
    “… This work is concerned with an inertial semi-forward-reflected-backward splitting algorithm of approaching the solution of sum of a maximally monotone operator, a cocoercive operator and a monotone…”
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  8. 8

    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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    Paper