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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.
Marta Kosek. "Some novel ways of generating Cantor and Julia type sets." Annales Polonici Mathematici 106.1 (2012): 207-214. <http://eudml.org/doc/280945>.
@article{MartaKosek2012, abstract = {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.}, author = {Marta Kosek}, journal = {Annales Polonici Mathematici}, keywords = {fixed points; Banach's contraction principle; iterated function systems; complex dynamics; Julia sets}, language = {eng}, number = {1}, pages = {207-214}, title = {Some novel ways of generating Cantor and Julia type sets}, url = {http://eudml.org/doc/280945}, volume = {106}, year = {2012}, }
TY - JOUR AU - Marta Kosek TI - Some novel ways of generating Cantor and Julia type sets JO - Annales Polonici Mathematici PY - 2012 VL - 106 IS - 1 SP - 207 EP - 214 AB - 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. LA - eng KW - fixed points; Banach's contraction principle; iterated function systems; complex dynamics; Julia sets UR - http://eudml.org/doc/280945 ER -