Modified Mann-Type Algorithm for Two Countable Families of Nonexpansive Mappings and Application to Monotone Inclusion and Image Restoration Problems

In this paper, we introduce and study a modified Mann-type algorithm that combines inertial terms for solving common fixed point problems of two countable families nonexpansive mappings in Hilbert spaces. Under appropriate assumptions on the sequences parameters, establish strong convergence result sequence generated by proposed method finding mappings. This can be applied to solve monotone inclusion problem. Additionally, employ iterative address image restoration problems. Furthermore, present numerical results across different scenarios demonstrate superior efficiency our compared existing algorithms.