Suchergebnisse - Forward–reflected–backward splitting algorithm*

  1. 1

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

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.06.2024
    Veröffentlicht in Journal of optimization theory and applications (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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  2. 2

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

    ISSN: 2314-4629, 2314-4785
    Veröffentlicht: John Wiley & Sons, Inc 01.01.2025
    Veröffentlicht in Journal of Mathematics (01.01.2025)
    “… –Tam’s splitting algorithm and its inertial version …”
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  3. 3

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

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 01.07.2023
    Veröffentlicht in Journal of computational and applied mathematics (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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    Two-step inertial forwardreflected–anchored–backward splitting algorithm for solving monotone inclusion problems von Izuchukwu, Chinedu, Aphane, Maggie, Aremu, Kazeem Olalekan

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 01.12.2023
    Veröffentlicht 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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  6. 6

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

    ISSN: 2473-6988, 2473-6988
    Veröffentlicht: AIMS Press 01.01.2023
    Veröffentlicht 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 von Jolaoso, Lateef O., Shehu, Yekini, Xu, Hong-Kun

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 17.02.2025
    Veröffentlicht 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 von Rieger, Janosch, Tam, Matthew K.

    ISSN: 0096-3003
    Veröffentlicht: Elsevier Inc 15.09.2020
    Veröffentlicht 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

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

    ISSN: 1439-8516, 1439-7617
    Veröffentlicht: Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.02.2022
    Veröffentlicht 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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  10. 10

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

    ISSN: 0885-7474, 1573-7691
    Veröffentlicht: New York Springer US 01.03.2023
    Veröffentlicht 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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    Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity von Cao, Yu, Wang, Yuanheng, ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.10.2024
    Veröffentlicht in Journal of optimization theory and applications (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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  12. 12

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

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.06.2024
    Veröffentlicht 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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  13. 13

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

    ISSN: 1432-2994, 1432-5217
    Veröffentlicht: 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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  14. 14

    Forward-reflected-backward method with variance reduction von Alacaoglu, Ahmet, Malitsky, Yura, Cevher, Volkan

    ISSN: 0926-6003, 1573-2894, 1573-2894
    Veröffentlicht: New York Springer US 01.11.2021
    Veröffentlicht in Computational optimization and applications (01.11.2021)
    “… We propose a variance reduced algorithm for solving monotone variational inequalities …”
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    A generalization of the forward-reflected-backward splitting method for monotone inclusions von Dung Nguyen, Van

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: 04.01.2025
    Veröffentlicht in Optimization (04.01.2025)
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    Bounded perturbation resilience of a regularized forward-reflected-backward splitting method for solving variational inclusion problems with applications von Taiwo, Adeolu, Reich, Simeon

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 02.07.2024
    Veröffentlicht in Optimization (02.07.2024)
    “… The forward-reflected-backward splitting method recently introduced for solving variational inclusion problems involves just one forward evaluation and one backward evaluation of the monotone operator …”
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  18. 18

    Extension of forward-reflected-backward method to non-convex mixed variational inequalities von Izuchukwu, Chinedu, Shehu, Yekini, Okeke, Chibueze C.

    ISSN: 0925-5001, 1573-2916
    Veröffentlicht: New York Springer US 01.05.2023
    Veröffentlicht in Journal of global optimization (01.05.2023)
    “… This paper presents a modification of a recently studied forward-reflected-backward splitting method to solve non-convex mixed variational inequalities …”
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    A Mirror Inertial ForwardReflectedBackward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness von Wang, Ziyuan, Themelis, Andreas, Ou, Hongjia, Wang, Xianfu

    ISSN: 0022-3239, 1573-2878
    Veröffentlicht: New York Springer US 01.11.2024
    Veröffentlicht in Journal of optimization theory and applications (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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    Outer reflected forward-backward splitting algorithm with inertial extrapolation step von Shehu, Yekini, Jolaoso, Lateef O., Okeke, C. C., Xu, Renqi

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Taylor & Francis 18.11.2025
    Veröffentlicht 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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