Inertial self‐adaptive algorithm for solving split feasible problems with applications to image restoration

We introduce a new self‐adaptive algorithm for applications to image restoration problems. In order to study an image restoration, we consider the algorithm that contains inertial effects and step sizes, which is independent from the norm of the bounded linear operator. With some control conditions,...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences Vol. 42; no. 18; pp. 7268 - 7284
Main Authors: Suparatulatorn, Raweerote, Charoensawan, Phakdi, Poochinapan, Kanyuta
Format: Journal Article
Language:English
Published: Freiburg Wiley Subscription Services, Inc 01.12.2019
Subjects:
Adaptive algorithms
Algorithms
Convergence
demicontractive operator
Image restoration
image restoration problem
inertial algorithm
Linear operators
self‐adaptive algorithm
ISSN:0170-4214, 1099-1476
Online Access:Get full text
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Summary:We introduce a new self‐adaptive algorithm for applications to image restoration problems. In order to study an image restoration, we consider the algorithm that contains inertial effects and step sizes, which is independent from the norm of the bounded linear operator. With some control conditions, the strong convergence to the minimum norm solution of the algorithm is obtained. Convergence analysis of the proposed algorithm is also discussed. Moreover, numerical results of image restoration problems illustrate that the proposed algorithm is efficient and outperforms other ones.
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ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5836