Fractals of Generalized F-Hutchinson Operator in b-Metric Spaces

The aim of this paper is to construct a fractal with the help of a finite family of generalized F-contraction mappings, a class of mappings more general than contraction mappings, defined in the setup of b-metric space. Consequently, we obtain a variety of results for iterated function system satisf...

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Veröffentlicht in:FUSION 2016-07, Vol.2016, p.1-9
Hauptverfasser: Nazir, Talat, Silvestrov, Sergei, Qi, Xiaomin
Format: Artikel
Sprache:eng
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Zusammenfassung:The aim of this paper is to construct a fractal with the help of a finite family of generalized F-contraction mappings, a class of mappings more general than contraction mappings, defined in the setup of b-metric space. Consequently, we obtain a variety of results for iterated function system satisfying a different set of contractive conditions. Our results unify, generalize, and extend various results in the existing literature.
ISSN:2314-5064
2314-5072
DOI:10.1155/2016/5250394