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<dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:invenio="http://invenio-software.org/elements/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:identifier>doi:10.1080/01630563.2021.1937215</dc:identifier><dc:language>eng</dc:language><dc:creator>Pasupathi, R.</dc:creator><dc:creator>Chand, A. K. B.</dc:creator><dc:creator>Navascués, M. A.</dc:creator><dc:title>Cyclic Meir-Keeler contraction and its fractals</dc:title><dc:identifier>ART-2021-125048</dc:identifier><dc:description>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.</dc:description><dc:date>2021</dc:date><dc:source>http://zaguan.unizar.es/record/117602</dc:source><dc:doi>10.1080/01630563.2021.1937215</dc:doi><dc:identifier>http://zaguan.unizar.es/record/117602</dc:identifier><dc:identifier>oai:zaguan.unizar.es:117602</dc:identifier><dc:identifier.citation>NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 42, 9 (2021), 1053-1072</dc:identifier.citation><dc:rights>by-nc</dc:rights><dc:rights>http://creativecommons.org/licenses/by-nc/3.0/es/</dc:rights><dc:rights>info:eu-repo/semantics/openAccess</dc:rights></dc:dc>

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