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International Journal of Computer Mathematics Volume 97, 2020 - Issue 1-2: Selected papers of CMMSE: Computational and Mathematical methods in Science Engineering and Economics
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Original Articles

Inertial viscosity forward–backward splitting algorithm for monotone inclusions and its application to image restoration problems

Duangkamon KitkuanKMUTT-Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, ThailandORCID Iconhttps://orcid.org/0000-0002-9854-9864View further author information
ORCID Icon,
Poom KumamKMUTT-Fixed Point Research Laboratory, KMUTT-Fixed Point Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, Thailand;Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Science Laboratory Building, King Mongkut's University of Technology Thonburi (KMUTT), Bangkok, ThailandCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-5463-4581View further author information
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Juan Martínez-MorenoDepartment of Mathematics, Faculty of Experimental Science, University of Jaén, Jaén, SpainORCID Iconhttps://orcid.org/0000-0002-3340-2781View further author information
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Kanokwan SitthithakerngkietDepartment of Mathematics, Faculty of Applied Science, King Mongkuts University of Technology North Bangkok, Bangkok, ThailandORCID Iconhttps://orcid.org/0000-0002-8496-7803View further author information
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Pages 482-497 | Received 20 Jul 2018, Accepted 16 Mar 2019, Published online: 07 Aug 2019

Citations (16)

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Konrawut Khammahawong, Poom Kumam, Parin Chaipunya & Juan Martínez-Moreno. (2022) Tseng's methods for inclusion problems on Hadamard manifolds. Optimization 71:15, pages 4367-4401.
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C. E. Chidume, A. Adamu, P. Kumam & D. Kitkuan. (2021) Generalized Hybrid Viscosity-Type Forward-Backward Splitting Method with Application to Convex Minimization and Image Restoration Problems. Numerical Functional Analysis and Optimization 42:13, pages 1586-1607.
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Articles from other publishers (14)

Anchalee Khemphet, Raweerote Suparatulatorn, Pariwate Varnakovida & Phakdi Charoensawan. (2023) A Modified Parallel Algorithm for a Common Fixed-Point Problem with Application to Signal Recovery. Symmetry 15:7, pages 1464.
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Ebru Altiparmak & Ibrahim Karahan. (2023) A modified inertial viscosity algorithm for an infinite family of nonexpansive mappings and its application to image restoration. Journal of Industrial and Management Optimization 0:0, pages 0-0.
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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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Bashir Ali & Aisha A. Adam. (2022) An inertial s-iteration process for a common fixed point of a family of quasi-Bregman nonexpansive mappings. Fixed Point Theory and Algorithms for Sciences and Engineering 2022:1.
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Jing Lei, Qibin Liu & Xueyao Wang. (2022) Learned prior-guided algorithm for flow field visualization in electrical capacitance tomography. Digital Signal Processing 128, pages 103605.
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Abubakar Adamu, Duangkamon Kitkuan, Poom Kumam, Anantachai Padcharoen & Thidaporn Seangwattana. (2022) Approximation method for monotone inclusion problems in real Banach spaces with applications. Journal of Inequalities and Applications 2022:1.
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Nattakarn Kaewyong & Kanokwan Sitthithakerngkiet. (2022) An Inertial Extragradient Direction Method with Self-Adaptive Step Size for Solving Split Minimization Problems and Its Applications to Compressed Sensing. Mathematics 10:6, pages 874.
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Xiaojuan Xu & Jin Zhu. (2021) Artistic Color Virtual Reality Implementation Based on Similarity Image Restoration. Complexity 2021, pages 1-12.
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Suthep Suantai, Kunrada Kankam, Prasit Cholamjiak & Watcharaporn Cholamjiak. (2021) A parallel monotone hybrid algorithm for a finite family of $$G-$$nonexpansive mappings in Hilbert spaces endowed with a graph applicable in signal recovery. Computational and Applied Mathematics 40:4.
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Nattakarn Kaewyong & Kanokwan Sitthithakerngkiet. (2021) Modified Tseng’s Method with Inertial Viscosity Type for Solving Inclusion Problems and Its Application to Image Restoration Problems. Mathematics 9:10, pages 1104.
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Nipa Jun-on, Raweerote Suparatulatorn, Mohamed Gamal & Watcharaporn Cholamjiak. (2021) An inertial parallel algorithm for a finite family of $ G $-nonexpansive mappings applied to signal recovery. AIMS Mathematics 7:2, pages 1775-1790.
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Jamilu Abubakar, Poom Kumam, Abdulkarim Hassan Ibrahim & Anantachai Padcharoen. (2020) Relaxed Inertial Tseng’s Type Method for Solving the Inclusion Problem with Application to Image Restoration. Mathematics 8:5, pages 818.
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Natthaphon Artsawang & Kasamsuk Ungchittrakool. (2020) Inertial Mann-Type Algorithm for a Nonexpansive Mapping to Solve Monotone Inclusion and Image Restoration Problems. Symmetry 12:5, pages 750.
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Raweerote Suparatulatorn & Anchalee Khemphet. (2019) Tseng Type Methods for Inclusion and Fixed Point Problems with Applications. Mathematics 7:12, pages 1175.
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