Some considerations on the bifurcation of the fixed point generated by iterated function systems

In this paper, we present an analytical study of some iterated function systems, recently proposed and numerically studied by Bahar [Chaos, Solitons & Fractals, 1995, 5(6), 1001 and 1996, 7(1), 41]. By using the Banach (contracting mapping) theorem, we are able to obtain some exact results.