Suchergebnisse - 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, 1573-2878Veröffentlicht: New York Springer US 01.06.2024Veröffentlicht 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, 2314-4785Veröffentlicht: John Wiley & Sons, Inc 01.01.2025Veröffentlicht 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, 1807-0302Veröffentlicht: Cham Springer International Publishing 01.12.2023Veröffentlicht 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, 1029-4945Veröffentlicht: 26.06.2025Veröffentlicht in Optimization (26.06.2025)Volltext
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Two-step inertial forward-reflected-backward splitting based algorithm for nonconvex mixed variational inequalities
ISSN: 0377-0427, 1879-1778Veröffentlicht: Elsevier B.V 01.07.2023Veröffentlicht 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, 2473-6988Veröffentlicht: AIMS Press 01.01.2023Veröffentlicht 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, 1029-4945Veröffentlicht: Philadelphia Taylor & Francis 17.02.2025Veröffentlicht 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: 0096-3003Veröffentlicht: Elsevier Inc 15.09.2020Veröffentlicht 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, 1029-4945Veröffentlicht: Taylor & Francis 18.11.2025Veröffentlicht 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: 0377-0427Veröffentlicht: Elsevier B.V 01.05.2025Veröffentlicht 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, 1862-4480Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022Veröffentlicht 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, 1439-7617Veröffentlicht: Beijing Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.02.2022Veröffentlicht 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: 1007-5704Veröffentlicht: Elsevier B.V 01.03.2025Veröffentlicht 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, 1029-4937Veröffentlicht: Abingdon Taylor & Francis 03.03.2024Veröffentlicht 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, 2315-4144Veröffentlicht: Singapore Springer Nature Singapore 01.06.2024Veröffentlicht 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, 1573-7691Veröffentlicht: New York Springer US 01.03.2023Veröffentlicht 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, 1573-2878Veröffentlicht: New York Springer US 01.11.2024Veröffentlicht 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, 1573-2916Veröffentlicht: New York Springer US 01.06.2024Veröffentlicht 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, 1573-2878Veröffentlicht: New York Springer US 01.10.2024Veröffentlicht 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, 1432-5217Veröffentlicht: Heidelberg Springer Nature B.V 01.12.2024Veröffentlicht 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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