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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Bibliographic Details
Published in:Computational and mathematical methods Vol. 3; no. 3
Main Authors: Padcharoen, Anantachai, Kitkuan, Duangkamon, Kumam, Wiyada, Kumam, Poom
Format: Journal Article
Language:English
Published: Hoboken, USA John Wiley & Sons, Inc 01.05.2021
Subjects:
Algorithms
forward‐backward algorithm
forward‐backward splitting method
Hilbert space
image recovery problems
Recovery
viscosity method zero point
ISSN:2577-7408, 2577-7408
Online Access:Get full text
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Summary: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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ISSN:2577-7408
2577-7408
DOI:10.1002/cmm4.1088