Suchergebnisse - forward–backward splitting algorithm

  1. 1

    Almost sure convergence of the forwardbackwardforward splitting algorithm von Vũ, Bằng Công

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2016
    Veröffentlicht in Optimization letters (01.04.2016)
    “… In this paper, we propose a stochastic forwardbackwardforward splitting algorithm and prove its almost sure weak convergence in real separable Hilbert spaces …”
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  2. 2

    A New Version of Forward-Backward-Forward Splitting Algorithm For Monotone Inclusions: A New Version of Forward-Backward-Forward Splitting von Ogwo, Grace Nnennaya, Izuchukwu, Chinedu, Shehu, Yekini, Zhao, Xiaopeng

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Cham Springer International Publishing 14.07.2025
    Veröffentlicht in Computational & applied mathematics (14.07.2025)
    “… This paper considers a new version of the forward-backward-forward splitting algorithm to find a zero of the sum of two monotone operators in real Hilbert spaces …”
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  3. 3

    Stochastic forward-backward-half forward splitting algorithm with variance reduction: Stochastic forward-backward-half forward von Qin, Liqian, Zhang, Yaxuan, Dong, Qiao-Li, Rassias, Michael Th

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2025
    Veröffentlicht in Optimization letters (01.12.2025)
    “… In this paper, we present a stochastic forward-backward-half forward splitting algorithm with variance reduction for solving the structured monotone inclusion problem composed of a maximally monotone …”
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  4. 4

    Weak and strong convergences of the generalized penalty Forward-Forward and Forward-Backward splitting algorithms for solving bilevel hierarchical pseudomonotone equilibrium problems von Riahi, Hassan, Chbani, Zaki, Loumi, Moulay-Tayeb

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Philadelphia Taylor & Francis 03.10.2018
    Veröffentlicht in Optimization (03.10.2018)
    “… ) and the Forward-Backward algorithm (PFFSA), which are proved under quite mild conditions: the bifunction of the two level equilibrium problems are supposed pseudomonotone …”
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  5. 5

    Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forwardbackward splitting, and regularized Gauss–Seidel methods von Attouch, Hedy, Bolte, Jérôme, Svaiter, Benar Fux

    ISSN: 0025-5610, 1436-4646
    Veröffentlicht: Berlin/Heidelberg Springer-Verlag 01.02.2013
    Veröffentlicht in Mathematical programming (01.02.2013)
    “… –backward splitting algorithm, the gradient projection and some proximal regularization of the Gauss–Seidel method in a nonconvex setting. Our results are illustrated through feasibility problems, or iterative thresholding procedures for compressive sensing …”
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  6. 6

    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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  7. 7

    Convergence of an inertial reflected–forwardbackward splitting algorithm for solving monotone inclusion problems with application to image recovery von Izuchukwu, Chinedu, Reich, Simeon, Shehu, Yekini

    ISSN: 0377-0427
    Veröffentlicht: Elsevier B.V 01.05.2025
    Veröffentlicht in Journal of computational and applied mathematics (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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  8. 8

    A Novel Algorithm and Its Convergence Analysis for Solving the Generalized Split Inverse Problem von Eslamian, Mohammad

    ISSN: 0170-4214, 1099-1476
    Veröffentlicht: Freiburg Wiley Subscription Services, Inc 30.03.2025
    Veröffentlicht in Mathematical methods in the applied sciences (30.03.2025)
    “… We propose a relaxed inertial forwardbackwardforward splitting algorithm with a new step size rule for finding an approximate solution of this problem in real Hilbert spaces …”
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  9. 9

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

    ISSN: 2193-5343, 2193-5351, 2193-5351
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2020
    Veröffentlicht 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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  10. 10

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

    ISSN: 1687-1847, 1687-1839, 1687-1847
    Veröffentlicht: Cham Springer International Publishing 24.02.2021
    Veröffentlicht 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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  11. 11

    Convergence analysis of the stochastic reflected forwardbackward splitting algorithm von Nguyen, Van Dung, Vũ, Bắng Công

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
    Veröffentlicht 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

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

    ISSN: 2073-8994, 2073-8994
    Veröffentlicht: Basel MDPI AG 01.08.2024
    Veröffentlicht 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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  13. 13

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

    ISSN: 0020-7160, 1029-0265
    Veröffentlicht: Abingdon Taylor & Francis 01.02.2020
    Veröffentlicht in International journal of computer mathematics (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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  14. 14

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

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Veröffentlicht: Cham Springer International Publishing 20.05.2019
    Veröffentlicht 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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    Forward-backward-half forward splitting algorithm with deviations von Qin, Liqian, Dong, Qiao-Li, Zhang, Yaxuan, Sahu, D. R.

    ISSN: 0233-1934, 1029-4945
    Veröffentlicht: Taylor & Francis 04.07.2025
    Veröffentlicht in Optimization (04.07.2025)
    “… In this paper, we present a forward-backward-half forward splitting algorithm with deviations for solving the structured monotone inclusion problem composed of a maximally monotone operator …”
    Volltext
    Journal Article
  17. 17

    Stochastic forward-backward-half forward splitting algorithm with variance reduction von Qin, Liqian, Zhang, Yaxuan, Dong, Qiao-Li, Rassias, Michael Th

    ISSN: 1862-4472, 1862-4480
    Veröffentlicht: Heidelberg Springer Nature B.V 01.12.2025
    Veröffentlicht in Optimization letters (01.12.2025)
    “… In this paper, we present a stochastic forward-backward-half forward splitting algorithm with variance reduction for solving the structured monotone inclusion problem composed of a maximally monotone …”
    Volltext
    Journal Article
  18. 18

    A New Version of Forward-Backward-Forward Splitting Algorithm For Monotone Inclusions von Ogwo, Grace Nnennaya, Izuchukwu, Chinedu, Shehu, Yekini, Zhao, Xiaopeng

    ISSN: 2238-3603, 1807-0302
    Veröffentlicht: Heidelberg Springer Nature B.V 01.10.2025
    Veröffentlicht in Computational & applied mathematics (01.10.2025)
    “… This paper considers a new version of the forward-backward-forward splitting algorithm to find a zero of the sum of two monotone operators in real Hilbert spaces …”
    Volltext
    Journal Article
  19. 19

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

    ISSN: 0095-4616, 1432-0606
    Veröffentlicht: New York Springer US 01.04.2022
    Veröffentlicht in Applied mathematics & optimization (01.04.2022)
    “… In this paper, we introduce a new monotone inertial ForwardBackward splitting algorithm (newMIFBS …”
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  20. 20

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

    ISSN: 2730-5422, 2730-5422
    Veröffentlicht: 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 uniformly smooth real Banach spaces …”
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