Iterated Function System of Generalized Contractions in Partial Metric Spaces

Talat Nazir, Melusi Khumalo, Vuledzani Makhoshi


In this paper we aim to obtain a fractal with the assistance of a finite family of generalized contractive mappings, which belong to a special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized contractive conditions are acquired. We present some example to reinforce the results proved herein. Our results generalize, unify and extend a variety of results which exist in current literature.


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