117602 20230519145434.0 doi 10.1080/01630563.2021.1937215 sideral 125048 ART-2021-125048 eng Pasupathi, R. Cyclic Meir-Keeler contraction and its fractals 2021 Access copy available to the general public Unrestricted In present times, there has been a substantial endeavor to generalize the classical notion of iterated function system (IFS). We introduce a new type of non-linear contraction namely cyclic Meir-Keeler contraction, which is a generalization of the famous Banach contraction. We show the existence and uniqueness of the fixed point for the cyclic Meir-Keeler contraction. Using this result, we propose the cyclic Meir-Keeler IFS in the literature for construction of fractals. Furthermore, we extend the theory of countable IFS and generalized IFS by using these cyclic Meir-Keeler contraction maps. info:eu-repo/semantics/openAccess by-nc http://creativecommons.org/licenses/by-nc/3.0/es/ 1.418 2021 MATHEMATICS, APPLIED 126 / 267 = 0.472 2021 Q2 T2 0.522 2021 Analysis 2021 Q2 Signal Processing 2021 Q2 Computer Science Applications 2021 Q2 1.8 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Chand, A. K. B. Navascués, M. A. Universidad de Zaragoza (orcid)0000-0003-4847-0493 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 42, 9 (2021), 1053-1072 Numer. funct. anal. optim. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 0163-0563 338969 http://zaguan.unizar.es/record/117602/files/texto_completo.pdf Postprint 1657891 http://zaguan.unizar.es/record/117602/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:117602 articulos driver 2023-05-18-14:21:10 ARTICLE