It is a survey article showing how an enhanced version of the Banach contraction principle can lead to generalizations of attractors of iterated function systems and to Julia type sets.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-16, author = {Marta Kosek}, title = {Some novel ways of generating Cantor and Julia type sets}, journal = {Annales Polonici Mathematici}, volume = {105}, year = {2012}, pages = {207-214}, zbl = {1254.32027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-16} }
Marta Kosek. Some novel ways of generating Cantor and Julia type sets. Annales Polonici Mathematici, Tome 105 (2012) pp. 207-214. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap106-0-16/