Tseng methods with inertial for solving inclusion problems and application to image deblurring and image recovery problems
In this article, we offer two modifications of the modified forward‐backward splitting method based on inertial Tseng method and viscosity method for inclusion problems in real Hilbert spaces. Under standard assumptions, such as Lipschitz continuity and monotonicity (also maximal monotonicity), we e...
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| Vydané v: | Computational and mathematical methods Ročník 3; číslo 3 |
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Hoboken, USA
John Wiley & Sons, Inc
01.05.2021
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| ISSN: | 2577-7408, 2577-7408 |
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| Abstract | In this article, we offer two modifications of the modified forward‐backward splitting method based on inertial Tseng method and viscosity method for inclusion problems in real Hilbert spaces. Under standard assumptions, such as Lipschitz continuity and monotonicity (also maximal monotonicity), we establish weak and strong convergence of the proposed algorithms. We give the numerical experiments to show the efficiency and advantage of the proposed methods and we also used our proposed algorithm for solving the image deblurring and image recovery problems. Our result extends some related works in the literature and the primary experiments might also suggest their potential applicability. |
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| AbstractList | In this article, we offer two modifications of the modified forward‐backward splitting method based on inertial Tseng method and viscosity method for inclusion problems in real Hilbert spaces. Under standard assumptions, such as Lipschitz continuity and monotonicity (also maximal monotonicity), we establish weak and strong convergence of the proposed algorithms. We give the numerical experiments to show the efficiency and advantage of the proposed methods and we also used our proposed algorithm for solving the image deblurring and image recovery problems. Our result extends some related works in the literature and the primary experiments might also suggest their potential applicability. |
| Author | Kumam, Wiyada Padcharoen, Anantachai Kumam, Poom Kitkuan, Duangkamon |
| Author_xml | – sequence: 1 givenname: Anantachai orcidid: 0000-0003-3680-6885 surname: Padcharoen fullname: Padcharoen, Anantachai organization: Rambhai Barni Rajabhat University – sequence: 2 givenname: Duangkamon orcidid: 0000-0002-9854-9864 surname: Kitkuan fullname: Kitkuan, Duangkamon organization: Rambhai Barni Rajabhat University – sequence: 3 givenname: Wiyada orcidid: 0000-0001-8773-4821 surname: Kumam fullname: Kumam, Wiyada email: wiyada.kum@rmutt.ac.th organization: Rajamangala University of Technology Thanyaburi (RMUTT) – sequence: 4 givenname: Poom orcidid: 0000-0002-5463-4581 surname: Kumam fullname: Kumam, Poom organization: King Mongkut's University of Technology Thonburi (KMUTT) |
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| Title | Tseng methods with inertial for solving inclusion problems and application to image deblurring and image recovery problems |
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