Search Results - "Forward–reflected–backward splitting algorithm"
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Training of extreme learning machine network based on novel generalized inertial forward-reflected-backward splitting algorithm
ISSN: 0233-1934, 1029-4945Published: 26.06.2025Published in Optimization (26.06.2025)Get full text
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Convergence rates of the modified forward reflected backward splitting algorithm in Banach spaces
ISSN: 2473-6988, 2473-6988Published: AIMS Press 01.01.2023Published 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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Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.06.2024Published in Journal of optimization theory and applications (01.06.2024)“…This paper studies the forward–reflected–backward 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 forward–reflected…”
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New accelerated splitting algorithm for monotone inclusion problems
ISSN: 0233-1934, 1029-4945Published: Philadelphia Taylor & Francis 17.02.2025Published 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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Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms
ISSN: 2314-4629, 2314-4785Published: John Wiley & Sons, Inc 01.01.2025Published 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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Two-step inertial forward–reflected–anchored–backward splitting algorithm for solving monotone inclusion problems
ISSN: 2238-3603, 1807-0302Published: Cham Springer International Publishing 01.12.2023Published 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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An Inertial Semi-forward-reflected-backward Splitting and Its Application
ISSN: 1439-8516, 1439-7617Published: Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.02.2022Published 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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Four-operator splitting algorithms for solving monotone inclusions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 17.04.2022Published 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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