Abstract :
In this paper, we introduce a new type of iterated function
systems, named; CIFS. Actually in a CIFS we have some flows instead
of some functions in iterated function systems. Then, we generalize the
notions of average shadowing property, chain transitivity, and attractor
sets on a CIFS. It is shown that every uniformly contracting CIFS has
the average shadowing property. We also prove that if a CIFS, F on a
compact metric space X has the average shadowing property, then F
is chain transitive, but the converse is not always true. As a result, this
proves that if F is an uniformly contracting CIFS on compact metric
space X, then X is the only nonempty attractor of F
