Wadia Faid Hassan Al-shameri, Existence of the Attractor of Recurrent Iterated Function System, Journal of Engineering and Applied Sciences, Volume 14,Issue 1, 2019, Pages 182-187, ISSN 1816-949x, jeasci.2019.182.187, (https://makhillpublications.co/view-article.php?doi=jeasci.2019.182.187) Abstract: In this research paper, we present a generalization of Iterated Function System (IFS) called the Recurrent Iterated Function System (RIFS). We explore RIFS, investigate the existence of the fractal attractor of RIFS and present its main properties. Finally, MATLAB program is presented to implement the algorithm for determining the attractor of the RIFS. Keywords: existence;algorithm;attractors;fixed points;iterated function system;Fractals