TY  - JOUR
AU  - Arunchai, Areerat
AU  - Seangwattana, Thidaporn
AU  - Sitthithakerngkiet, Kanokwan
AU  - Sombut, Kamonrat
PY  - 2023
TI  - Image restoration by using a modified proximal point algorithm
JO  - AIMS Mathematics
SP  - 9557
EP  - 9575
VL  - 8
IS  - 4
AB  - In this paper, we establish a modified proximal point algorithm for solving the common problem between convex constrained minimization and modified variational inclusion problems. The proposed algorithm base on the proximal point algorithm in [19] and the method of Khuangsatung and Kangtunyakarn in [21] by using suitable conditions in Hilbert spaces. The proposed algorithm is not only presented in this article; however has also been demonstrated to generate a robust convergence theorem. The proposed algorithm could be used to solve image restoration problems where the images have suffered a variety of blurring operations. Additionally, we contrast the signal-to-noise ratio (SNR) of the proposed algorithm against that of Khuangsatung and Kangtunyakarn's method in [21] in order to compare image quality.
UR  - https://doi.org/10.3934/math.2023482
DO  - 10.3934/math.2023482