Open AccessTseng methods with inertial for solving inclusion problems and application to image deblurring and image recovery problems
Author(s) -
Padcharoen Anantachai,
Kitkuan Duangkamon,
Kumam Wiyada,
Kumam Poom
Publication year - 2021
Publication title -
computational and mathematical methods
Language(s) - English
Resource type - Journals
ISSN - 2577-7408
DOI - 10.1002/cmm4.1088
Subject(s) - deblurring , image (mathematics) , inclusion (mineral) , computer science , artificial intelligence , computer vision , image restoration , image processing , psychology , social psychology
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.