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Research Article | Open Access

Hardy-Rogers type contraction in double controlled metric-like spaces

Irshad Ayoob1,2, Ng Zhen Chuan2, Nabil Mlaiki1( )
Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia
School of Mathematics, Universiti Sains Malaysia, 11800 Gelugor, Penang, Malaysia
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Abstract

In this paper, we establish a new fixed point result for Hardy-Rogers type contractions in double controlled metric-like spaces. Our result generalizes many important theorems in the literature. We will provide an example to illustrate our results.

Keywords

b-metric spacescontrolled metric spacesdouble controlled metric-like spacesHardy-Rogers contractionfixed point
CLC number: 47H10, 54E50, 54H25

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 13623-13636
DOI: 10.3934/math.2023691

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Cite this article:
Ayoob I, Chuan NZ, Mlaiki N. Hardy-Rogers type contraction in double controlled metric-like spaces. AIMS Mathematics, 2023, 8(6): 13623-13636. https://doi.org/10.3934/math.2023691

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Received: 17 February 2023
Revised: 18 March 2023
Accepted: 27 March 2023
Published: 15 June 2023
©2023 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)