On Graph Directed Constructions Of Fractals

We give a generalization of the graph directed constructions of fractals. The result is analogous to the one obtained by Follo [Follo, G., Some remarks on fractals generated by a sequence of finite systems of contractions, Georgian Math. J. 8 (2001), 733–752] in generalizing Hutchinson's theorem [Hutchinson, J.E., Fractals and self similarity Indiana Univ. Math. J. 30 (1981), 713–747] to a sequence of finite systems of contractions.