The authors, first, introduce an iterative scheme for finding a common point of infinite nonexpansive mappings

${T}_{i}$,

$i=1,2,...$ in a Hilbert space

$H$ by using a hybrid method, where

${T}_{i}$ is a nonexpansive mapping of

$C$ into itself and

$C\subset H$ is a nonempty closed convex set. Next, they prove a strong convergence theorem which is connected with the problem of image recovery. Furthermore, using the above result, they consider a generalized problem of image recovery and the problem of finding a common fixed point of a family of nonexpansive mappings.