In this paper, we introduce a new accelerated iterative method for finding a common fixed point of a countable family of nonexpansive mappings in the Hilbert spaces framework. Using our main result, we obtain a new accelerated image restoration iterative method for solving a minimization problem in the form of the sum of two proper lower semi-continuous and convex functions. As applications, we apply our algorithm to solving image restoration problems.

Additional Information

Author(s)

Kitkuan, Duangkamon, Padcharoen, Anantachai

DOI

https://doi.org/10.37193/CJM.2021.03.12