The authors, first, introduce an iterative scheme for finding a common point of infinite nonexpansive mappings
in a Hilbert space
by using a hybrid method, where
is a nonexpansive mapping of
into itself and
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.