  The image restoration problem is one of the popular topics in image
processing studied by many authors on account of its applications in various
areas. The aim of this paper is to present a new algorithm by using viscosity
approximation with inertial effect for finding a common fixed point of an
infinite family of nonexpansive mappings in a Hilbert space and obtaining more
quality images from degenerate images. Some strong convergence theorems are
proved under mild conditions. The obtained results are applied to solve
monotone inclusion problems, convex minimization problems, variational
inequality problems and generalized equilibrium problems. It is shown that the
proposed algorithm performs better than some other algorithms. Also, the
effects of inertial and viscosity terms in the algorithm on image restoration
have been investigated.
