Fractals of generalized F- Hutchinson operator in b-metric spaces

preprint2016arXivOpen access

Abstract

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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