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Research Article | Open Access

A fixed point result of weakly contractive operators in generalized metric spaces

Mohammed Shehu Shagari1, Faryad Ali2( ), Trad Alotaibi3, Shazia Kanwal4, Akbar Azam5
Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11623, Saudi Arabia
Department of Mathematics and Statistics, Taif University, Saudi Arabia
Department of Mathematics, Government College University, Faisalabad, Pakistan
Department of Mathematics, Grand Asian University, Sialkot, 7KM, Pasrur Road, Sialkot 51310, Pakistan
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Abstract

In this note, by using basic properties of the recently introduced concepts of generalized metric spaces, new conditions for the existence of a fixed point for weakly type contractive operator which sends a closed subset into the ambient space under consideration are examined. Our obtained result extends and unifies its corresponding ideas in metric and modular spaces. A comparative non-trivial example is provided to show the novelty and preeminence of our proposed notion.

Keywords

fixed pointgeneralized metric spacemodular spaceweakly contractive
CLC number: 47H10, 54H25, 47H04

References

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 17603-17611
DOI: 10.3934/math.2022969

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Cite this article:
Shagari MS, Ali F, Alotaibi T, et al. A fixed point result of weakly contractive operators in generalized metric spaces. AIMS Mathematics, 2022, 7(9): 17603-17611. https://doi.org/10.3934/math.2022969

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Received: 03 July 2022
Revised: 21 July 2022
Accepted: 24 July 2022
Published: 15 September 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)