Iterated function systems consisting of F-contractions

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Abstract

In this paper we consider a particular case of a contractive self-mapping on a complete metric space, namely the F-contraction introduced by Wardowski (Fixed Point Theory Appl. 87, 2012, doi:10.1186/1687-1812-2012-94), and provide some new properties of it. As an application, we investigate the iterated function systems (IFS) composed of F-contractions extending some fixed point results from the classical Hutchinson-Barnsley theory of IFS consisting of Banach contractions. Some illustrative examples are given. ©2013 Secelean; licensee Springer.

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Secelean, N. A. (2013). Iterated function systems consisting of F-contractions. Fixed Point Theory and Applications, 2013. https://doi.org/10.1186/1687-1812-2013-277

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