Search Results - Reflected–forward–backward algorithm

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

“…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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Outer reflected forward-backward splitting algorithm with inertial extrapolation step by Shehu, Yekini, Jolaoso, Lateef O., Okeke, C. C., Xu, Renqi

“…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 analysis of the stochastic reflected forward–backward splitting algorithm by Nguyen, Van Dung, Vũ, Bắng Công

“…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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Distributed generalized Nash equilibrium seeking: A backward-reflected-forward-backward-based algorithm by Zheng, Zuqing, Li, Huaqing, Niu, Youcheng, Su, Enbing, Feng, Liping

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Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator by Cao, Yu, Wang, Yuanheng, Ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih

“…In this work, using a discretisation of continuous-time dynamical systems, we design a novel splitting algorithm without the lifting technique for finding the sum of three maximal monotone operators…”
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Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints by Boţ, Radu Ioan, Nguyen, Dang-Khoa, Zong, Chunxiang

“…In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone operator and a monotone and Lipschitz continuous operator in a real Hilbert space…”
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Perturbed reflected forward backward splitting algorithm for monotone inclusion by Tan, Bing, Shehu, Yekini, Li, Tiexiang, Qin, Xiaolong

“…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 by Dong, Qiao-Li, Su, Min, Shehu, Yekini

“…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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Inertial Stochastic Reflected Forward Backward Method with Applications to Traffic Network Problems by Izuchukwu, Chinedu, Alakoya, Timilehin Opeyemi, Moutari, Salissou, Zeng, Shengda

“…This paper introduces a new inertial stochastic reflected-forward-backward splitting method aimed at addressing monotone inclusion problems, specifically involving a maximal monotone set-valued…”
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Fast Reflected Forward-Backward algorithm: achieving fast convergence rates for convex optimization with linear cone constraints by Bot, Radu Ioan, Nguyen, Dang-Khoa, Zong, Chunxiang

“…In this paper, we derive a Fast Reflected Forward-Backward (Fast RFB) algorithm to solve the problem of finding a zero of the sum of a maximally monotone operator and a monotone and Lipschitz continuous operator in a real Hilbert space…”
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Convergence analysis of the stochastic reflected forward-backward splitting algorithm by Nguyen Van Dung, Bang Cong Vu

“…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 outer reflected forward-backward splitting algorithm for solving monotone inclusions by Yu, Hui, Zong, Chunxiang, Tang, Yuchao

“… reflected forward-backward splitting algorithm. Under mild conditions on the iterative parameters, we prove the convergence of the proposed algorithm…”
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Application of a reflected forward backward splitting method with momentum to a fractional-order lung cancer model by Izuchukwu, Chinedu, Amilo, David, Sadri, Khadijeh, Yao, Hao-Ren, Yao, Jen-Chih

“…We introduce in this paper, a reflected-forward–backward splitting method that integrates momentum terms to improve the resolution of monotone inclusion…”
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Two New Splitting Methods for Three-Operator Monotone Inclusions in Hilbert Spaces by Nguyen, Van Dung, Vinh, Nguyen The

“… These methods are based on the combination of Douglas-Rachford method and other methods, forward-backward-forward method and reflected-forward-backward method…”
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A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators by Cevher, Volkan, Vũ, Bằng Công

“…In this paper, we propose a novel splitting method for finding a zero point of the sum of two monotone operators where one of them is Lipschizian. The weak…”
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Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results by Yao, Yonghong, Adamu, Abubakar, Shehu, Yekini

“…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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A modification of the forward–backward splitting method for monotone inclusions by Nguyen, Van Dung

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Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms by Zhang, Binbin, Guan, Ximeng, Yin, Chenhao

“…–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 by Izuchukwu, Chinedu, Aphane, Maggie, Aremu, Kazeem Olalekan

“…The main purpose of this paper is to propose and study a two-step inertial anchored version of the forward–reflected…”
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Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity by Cao, Yu, Wang, Yuanheng, ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih

“…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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