In  we have shown that the Frobenius-Perron operators associated with a one parameter family of piecewise linear chaotic maps have a common invariant (fixed) density map. In this paper we show the uniqueness of the common invariant density map and analyze the corresponding fixed point algorithm.
"Uniqueness of the Common Invariant Density and the Convergence of the Fixed Point Iteration." Missouri J. Math. Sci. 31 (2) 113 - 120, November 2019. https://doi.org/10.35834/2019/3102113