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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 15
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Research Article

Strong convergence of inertial forward–backward methods for solving monotone inclusions

Bing Tana Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, People's Republic of ChinaORCID Iconhttps://orcid.org/0000-0003-1509-1809
ORCID Icon &
Sun Young Chob Department of Liberal Arts, Gyeongnam National University of Science and Technology, Jinju-Si, South KoreaCorrespondence[email protected]
Pages 5386-5414 | Received 02 Oct 2020, Accepted 12 Feb 2021, Published online: 25 Feb 2021

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Watcharaporn Cholamjiak & Shilpa Das. (2024) A modified projective forward-backward splitting algorithm for variational inclusion problems to predict Parkinson's disease. Applied Mathematics in Science and Engineering 32:1.
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Qiao-Li Dong, Lulu Liu, Xiaolong Qin & Jen-Chih Yao. (2023) An alternated inertial general splitting method with linearization for the split feasibility problem. Optimization 72:10, pages 2585-2607.
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H. A. Abass, O. K. Oyewole, L. O. Jolaoso & K. O. Aremu. (2023) Modified inertial Tseng method for solving variational inclusion and fixed point problems on Hadamard manifolds. Applicable Analysis 0:0, pages 1-24.
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Javad Balooee, Shih-sen Chang & Jen-Chih Yao. (2023) A proximal iterative algorithm for system of generalized nonlinear variational-like inequalities and fixed point problems. Applicable Analysis 102:13, pages 3661-3688.
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Yekini Shehu, Chinedu Izuchukwu, Jen-Chih Yao & Xiaolong Qin. (2023) Strongly convergent inertial extragradient type methods for equilibrium problems. Applicable Analysis 102:8, pages 2160-2188.
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Adeolu Taiwo & Simeon Reich. Two regularized inertial Tseng methods for solving inclusion problems with applications to convex bilevel programming. Optimization 0:0, pages 1-29.
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Articles from other publishers (10)

Yonghong Yao, Abubakar Adamu & Yekini Shehu. (2024) Strongly convergent inertial forward-backward-forward algorithm without on-line rule for variational inequalities. Acta Mathematica Scientia 44:2, pages 551-566.
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Lateef O. Jolaoso, Yekini Shehu & Jen-Chih Yao. (2023) Strongly Convergent Inertial Proximal Point Algorithm Without On-line Rule. Journal of Optimization Theory and Applications 200:2, pages 555-584.
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Chinedu Izuchukwu, Maggie Aphane & Kazeem Olalekan Aremu. (2023) Two-step inertial forward–reflected–anchored–backward splitting algorithm for solving monotone inclusion problems. Computational and Applied Mathematics 42:8.
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Austine Efut Ofem, Jacob Ashiwere Abuchu, Hossam A. Nabwey, Godwin Chidi Ugwunnadi & Ojen Kumar Narain. (2023) On Bilevel Monotone Inclusion and Variational Inequality Problems. Mathematics 11:22, pages 4643.
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Austine Efut Ofem, Akindele Adebayo Mebawondu, Godwin Chidi Ugwunnadi, Prasit Cholamjiak & Ojen Kumar Narain. (2023) Relaxed Tseng splitting method with double inertial steps for solving monotone inclusions and fixed point problems. Numerical Algorithms.
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Zhong-bao Wang, Zhen-yin Lei, Xin Long & Zhang-you Chen. (2023) A Modified Tseng Splitting Method with Double Inertial Steps for Solving Monotone Inclusion Problems. Journal of Scientific Computing 96:3.
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Chinedu Izuchukwu, Simeon Reich, Yekini Shehu & Adeolu Taiwo. (2023) Strong Convergence of Forward–Reflected–Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control. Journal of Scientific Computing 94:3.
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Mohammad Eslamian & Ahmad Kamandi. (2023) A novel algorithm for approximating common solution of a system of monotone inclusion problems and common fixed point problem. Journal of Industrial and Management Optimization 19:2, pages 868.
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Shamshad Husain, Mohammed Ahmed Osman Tom, Mubashshir U. Khairoowala, Mohd Furkan & Faizan Ahmad Khan. (2022) Inertial Tseng Method for Solving the Variational Inequality Problem and Monotone Inclusion Problem in Real Hilbert Space. Mathematics 10:17, pages 3151.
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Gaobo Li. (2022) Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space. Journal of Mathematics 2022, pages 1-16.
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