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

General Mathematics 2016-06-17 v1

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.

Keywords

Cite

@article{arxiv.1606.05298,
  title  = {Fractals of generalized F- Hutchinson operator in b-metric spaces},
  author = {Talat Nazir and Sergei Silvestrov and Xiaomin Qi},
  journal= {arXiv preprint arXiv:1606.05298},
  year   = {2016}
}

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