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Fractals of generalized \(F\)-Hutchinson operator in \(b\)-metric spaces - MaRDI portal

Fractals of generalized \(F\)-Hutchinson operator in \(b\)-metric spaces (Q2405829)

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Fractals of generalized \(F\)-Hutchinson operator in \(b\)-metric spaces
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    Fractals of generalized \(F\)-Hutchinson operator in \(b\)-metric spaces (English)
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    26 September 2017
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    Summary: 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.
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    generalized \(F\)-contraction mappings
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    iterated function systems
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