Search Results - Forward–reflected–backward splitting algorithm
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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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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)“…–Tam’s splitting algorithm and its inertial version…”
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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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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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Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities
ISSN: 0377-0427, 1879-1778Published: Elsevier B.V 01.07.2023Published 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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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)“… In this paper, we introduce a non-traditional forward-backward splitting method for solving such minimization problem…”
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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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Backward-Forward-Reflected-Backward Splitting for Three Operator Monotone Inclusions
ISSN: 0096-3003Published: Elsevier Inc 15.09.2020Published 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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Outer reflected forward-backward splitting algorithm with inertial extrapolation step
ISSN: 0233-1934, 1029-4945Published: Taylor & Francis 18.11.2025Published 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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Convergence of an inertial reflected–forward–backward splitting algorithm for solving monotone inclusion problems with application to image recovery
ISSN: 0377-0427Published: Elsevier B.V 01.05.2025Published in Journal of computational and applied mathematics (01.05.2025)“…We first propose a reflected–forward–backward 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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Convergence analysis of the stochastic reflected forward–backward splitting algorithm
ISSN: 1862-4472, 1862-4480Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022Published 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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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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Perturbed reflected forward backward splitting algorithm for monotone inclusion
ISSN: 1007-5704Published: Elsevier B.V 01.03.2025Published in Communications in nonlinear science & numerical simulation (01.03.2025)“…In this paper, we investigate a new reflected forward–backward splitting algorithm with self-adaptive step sizes to solve monotone inclusion problems…”
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Three-operator reflected forward-backward splitting algorithm with double inertial effects
ISSN: 1055-6788, 1029-4937Published: Abingdon Taylor & Francis 03.03.2024Published 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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A Primal-dual Backward Reflected Forward Splitting Algorithm for Structured Monotone Inclusions
ISSN: 0251-4184, 2315-4144Published: Singapore Springer Nature Singapore 01.06.2024Published 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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Strong Convergence of Forward–Reflected–Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control
ISSN: 0885-7474, 1573-7691Published: New York Springer US 01.03.2023Published in Journal of scientific computing (01.03.2023)“…–reflected–backward 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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A Mirror Inertial Forward–Reflected–Backward Splitting: Convergence Analysis Beyond Convexity and Lipschitz Smoothness
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.11.2024Published in Journal of optimization theory and applications (01.11.2024)“…This work investigates a Bregman and inertial extension of the forward–reflected–backward algorithm (Malitsky and Tam in SIAM J Optim 30…”
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A Bregman inertial forward-reflected-backward method for nonconvex minimization
ISSN: 0925-5001, 1573-2916Published: New York Springer US 01.06.2024Published 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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Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity
ISSN: 0022-3239, 1573-2878Published: New York Springer US 01.10.2024Published 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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Forward-reflected-backward and shadow-Douglas–Rachford with partial inverse for solving monotone inclusions
ISSN: 1432-2994, 1432-5217Published: Heidelberg Springer Nature B.V 01.12.2024Published in Mathematical methods of operations research (Heidelberg, Germany) (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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