Search Results - "Forward–backward splitting algorithm"

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  1. 1

    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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    Journal Article
  2. 2

    Convergence of an inertial reflected–forwardbackward 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 reflected–forwardbackward 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

    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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  4. 4

    An inertial Mann forward-backward splitting algorithm of variational inclusion problems and its applications by Peeyada, Pronpat, Suparatulatorn, Raweerote, Cholamjiak, Watcharaporn

    ISSN: 0960-0779, 1873-2887
    Published: Elsevier Ltd 01.05.2022
    Published in Chaos, solitons and fractals (01.05.2022)
    “…In this paper, we introduce the inertial Mann forward-backward splitting algorithm for solving variational inclusion problem of the sum of two operators, the one is maximally monotone and the other…”
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  5. 5

    An inertially constructed forwardbackward splitting algorithm in Hilbert spaces by Arfat, Yasir, Kumam, Poom, Khan, Muhammad Aqeel Ahmad, Ngiamsunthorn, Parinya Sa, Kaewkhao, Attapol

    ISSN: 1687-1847, 1687-1839, 1687-1847
    Published: Cham Springer International Publishing 24.02.2021
    Published in Advances in difference equations (24.02.2021)
    “…–backward splitting algorithm and the hybrid shrinking projection algorithm. We provide theoretical results concerning weak and strong convergence of the proposed…”
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  6. 6

    Forwardbackward splitting algorithm for fixed point problems and zeros of the sum of monotone operators by Dadashi, Vahid, Postolache, Mihai

    ISSN: 2193-5343, 2193-5351, 2193-5351
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020
    Published in Arabian Journal of Mathematics (01.04.2020)
    “…In this paper, we construct a forwardbackward splitting algorithm for approximating a zero of the sum of an α…”
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  7. 7

    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…”
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  8. 8

    Enhanced Double Inertial ForwardBackward Splitting Algorithm for Variational Inclusion Problems: Applications in Mathematical Integrated Skill Prediction by Jun-On, Nipa, Cholamjiak, Watcharaporn

    ISSN: 2073-8994, 2073-8994
    Published: Basel MDPI AG 01.08.2024
    Published in Symmetry (Basel) (01.08.2024)
    “…This paper introduces a new algorithm that combines the forwardbackward splitting algorithms with a double inertial technique, utilizing the previous three iterations…”
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  9. 9

    Inertial viscosity forward-backward splitting algorithm for monotone inclusions and its application to image restoration problems by Kitkuan, Duangkamon, Kumam, Poom, Martínez-Moreno, Juan, Sitthithakerngkiet, Kanokwan

    ISSN: 0020-7160, 1029-0265
    Published: Abingdon Taylor & Francis 01.02.2020
    “…In this research, we are interested about the monotone inclusion problems in the scope of the real Hilbert spaces by using an inertial forward-backward splitting algorithm…”
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  10. 10

    Convergence analysis of a variable metric forwardbackward splitting algorithm with applications by Cui, Fuying, Tang, Yuchao, Zhu, Chuanxi

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Published: Cham Springer International Publishing 20.05.2019
    Published in Journal of inequalities and applications (20.05.2019)
    “…The forwardbackward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator…”
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    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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  13. 13

    Convergence Results of a New Monotone Inertial ForwardBackward Splitting Algorithm Under the Local Hölder Error Bound Condition by Wang, Ting, Liu, Hongwei

    ISSN: 0095-4616, 1432-0606
    Published: New York Springer US 01.04.2022
    Published in Applied mathematics & optimization (01.04.2022)
    “…In this paper, we introduce a new monotone inertial ForwardBackward splitting algorithm (newMIFBS…”
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  14. 14

    A modified projective forward-backward splitting algorithm for variational inclusion problems to predict Parkinson's disease by Cholamjiak, Watcharaporn, Das, Shilpa

    ISSN: 2769-0911, 2769-0911
    Published: Abingdon Taylor & Francis Ltd 31.12.2024
    “… A modified projective forward-backward splitting algorithm is constructed to solve this problem…”
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  15. 15

    Self-adaptive forwardbackward splitting algorithm for the sum of two monotone operators in Banach spaces by Bello, Abdulmalik U., Chidume, Charles E., Alka, Maryam

    ISSN: 2730-5422, 2730-5422
    Published: Cham Springer International Publishing 06.12.2022
    “…In this work, we prove the weak convergence of a one-step self-adaptive algorithm to a solution of the sum of two monotone operators in 2-uniformly convex and…”
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  16. 16

    A New Accelerated ForwardBackward Splitting Algorithm for Monotone Inclusions with Application to Data Classification by Sae-jia, Puntita, Panyahan, Eakkpop, Suantai, Suthep

    ISSN: 2227-7390, 2227-7390
    Published: Basel MDPI AG 01.09.2025
    Published in Mathematics (Basel) (01.09.2025)
    “…This paper proposes a new accelerated fixed-point algorithm based on a double-inertial extrapolation technique for solving structured variational inclusion and…”
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  17. 17

    A stochastic inertial forward-backward splitting algorithm for multivariate monotone inclusions by Rosasco, Lorenzo, Villa, Silvia, Vũ, Băng Công

    ISSN: 0233-1934, 1029-4945
    Published: Philadelphia Taylor & Francis 02.06.2016
    Published in Optimization (02.06.2016)
    “…We propose an inertial forward-backward splitting algorithm to compute a zero of a sum of two monotone operators allowing for stochastic errors in the computation of the operators…”
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  18. 18

    Impact Load Identification with Uniform Noise Based on Forward-backward Splitting Algorithm by Gao, Wei, Zhang, Bochen

    ISSN: 1742-6588, 1742-6596
    Published: Bristol IOP Publishing 01.07.2023
    Published in Journal of physics. Conference series (01.07.2023)
    “…In this paper, the forward-backward splitting method is introduced for the first time to solve the impact load identification problem under the condition of…”
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