000117602 001__ 117602 000117602 005__ 20230519145434.0 000117602 0247_ $$2doi$$a10.1080/01630563.2021.1937215 000117602 0248_ $$2sideral$$a125048 000117602 037__ $$aART-2021-125048 000117602 041__ $$aeng 000117602 100__ $$aPasupathi, R. 000117602 245__ $$aCyclic Meir-Keeler contraction and its fractals 000117602 260__ $$c2021 000117602 5060_ $$aAccess copy available to the general public$$fUnrestricted 000117602 5203_ $$aIn 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. 000117602 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/ 000117602 590__ $$a1.418$$b2021 000117602 592__ $$a0.522$$b2021 000117602 594__ $$a1.8$$b2021 000117602 591__ $$aMATHEMATICS, APPLIED$$b126 / 267 = 0.472$$c2021$$dQ2$$eT2 000117602 593__ $$aAnalysis$$c2021$$dQ2 000117602 593__ $$aSignal Processing$$c2021$$dQ2 000117602 593__ $$aComputer Science Applications$$c2021$$dQ2 000117602 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000117602 700__ $$aChand, A. K. B. 000117602 700__ $$0(orcid)0000-0003-4847-0493$$aNavascués, M. A.$$uUniversidad de Zaragoza 000117602 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000117602 773__ $$g42, 9 (2021), 1053-1072$$pNumer. funct. anal. optim.$$tNUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION$$x0163-0563 000117602 8564_ $$s338969$$uhttps://zaguan.unizar.es/record/117602/files/texto_completo.pdf$$yPostprint 000117602 8564_ $$s1657891$$uhttps://zaguan.unizar.es/record/117602/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000117602 909CO $$ooai:zaguan.unizar.es:117602$$particulos$$pdriver 000117602 951__ $$a2023-05-18-14:21:10 000117602 980__ $$aARTICLE