Search Results - Forward–reflected–backward splitting algorithm

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  1. 1

    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
  2. 2

    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)
    “…–Tam’s splitting algorithm and its inertial version…”
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  3. 3

    Two-step inertial forwardreflected–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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  4. 4
  5. 5

    Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities by Izuchukwu, Chinedu, Shehu, Yekini, Dong, Qiao-Li

    ISSN: 0377-0427, 1879-1778
    Published: Elsevier B.V 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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  6. 6

    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)
    “… In this paper, we introduce a non-traditional forward-backward splitting method for solving such minimization problem…”
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  7. 7

    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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  8. 8

    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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  9. 9

    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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  10. 10

    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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  11. 11

    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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  12. 12

    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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  13. 13

    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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  14. 14

    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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  15. 15

    A Primal-dual Backward Reflected Forward Splitting Algorithm for Structured Monotone Inclusions by Bằng, Vũ Công, Papadimitriou, Dimitri, Nhâm, Vũ Xuân

    ISSN: 0251-4184, 2315-4144
    Published: Singapore Springer Nature Singapore 01.06.2024
    Published 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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  16. 16

    Strong Convergence of ForwardReflectedBackward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control by Izuchukwu, Chinedu, Reich, Simeon, Shehu, Yekini, Taiwo, Adeolu

    ISSN: 0885-7474, 1573-7691
    Published: New York Springer US 01.03.2023
    Published in Journal of scientific computing (01.03.2023)
    “…–reflectedbackward splitting method of Malitsky and Tam for finding a zero of the sum of two monotone operators in a real Hilbert space…”
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  17. 17

    A Mirror Inertial ForwardReflectedBackward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness by Wang, Ziyuan, Themelis, Andreas, Ou, Hongjia, Wang, Xianfu

    ISSN: 0022-3239, 1573-2878
    Published: New York Springer US 01.11.2024
    “…This work investigates a Bregman and inertial extension of the forwardreflectedbackward algorithm (Malitsky and Tam in SIAM J Optim 30…”
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  18. 18

    A Bregman inertial forward-reflected-backward method for nonconvex minimization by Wang, Xianfu, Wang, Ziyuan

    ISSN: 0925-5001, 1573-2916
    Published: New York Springer US 01.06.2024
    Published in Journal of global optimization (01.06.2024)
    “…We propose a Bregman inertial forward-reflected-backward (BiFRB) method for nonconvex composite problems…”
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  19. 19

    Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity by Cao, Yu, Wang, Yuanheng, ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih

    ISSN: 0022-3239, 1573-2878
    Published: 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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  20. 20

    Forward-reflected-backward and shadow-Douglas–Rachford with partial inverse for solving monotone inclusions by Roldán, Fernando

    ISSN: 1432-2994, 1432-5217
    Published: Heidelberg Springer Nature B.V 01.12.2024
    “…, and a normal cone to a vector subspace. Our algorithms split and exploits the intrinsic properties of each operator involved in the inclusion…”
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