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Research Article | Open Access

Generalized iterated function system for common attractors in partial metric spaces

Melusi Khumalo, Talat Nazir( ), Vuledzani Makhoshi
Department of Mathematical Sciences, University of South Africa, Florida 0003, South Africa
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Abstract

In this paper, we aim to obtain some new common attractors with the assistance of finite families of generalized contractive mappings, that belong to the 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 examples to reinforce the results proved herein. These results generalize, unify and extend a variety of results that exist in current literature.

Keywords

common attractorgeneralized iterated function systemcommon fixed pointgeneralized contractionpartial metric space
CLC number: 47H04, 47H07, 47H10

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 13074-13103
DOI: 10.3934/math.2022723

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Cite this article:
Khumalo M, Nazir T, Makhoshi V. Generalized iterated function system for common attractors in partial metric spaces. AIMS Mathematics, 2022, 7(7): 13074-13103. https://doi.org/10.3934/math.2022723

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Received: 27 November 2021
Revised: 04 April 2022
Accepted: 06 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)