the average shadowing property in continuous iterated function systems

In this paper, we introduce a new type of iterated functionsystems, named; cifs. actually in a cifs we have some flows insteadof some functions in iterated function systems. then, we generalize thenotions of average shadowing property, chain transitivity, and attractorsets on a cifs. it is shown that every uniformly contracting cifs hasthe average shadowing property. we also prove that if a cifs, f on acompact metric space x has the average shadowing property, then fis chain transitive, but the converse is not always true. as a result, thisproves that if f is an uniformly contracting cifs on compact metricspace x, then x is the only nonempty attractor of f