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Research Article | Open Access

On θ-hyperbolic sine distance functions and existence results in complete metric spaces

Mohamed Jleli, Bessem Samet( )
Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia
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Abstract

In this paper, we first introduced the notion of θ-hyperbolic sine distance functions on a metric space and studied their properties. We investigated the existence and uniqueness of fixed points for some classes of single-valued mappings defined on a complete metric space and satisfying contractions involving the θ-hyperbolic sine distance function.

Keywords

metric spaceshyperbolic functionsθ-hyperbolic sine distance functionsfixed point
CLC number: 54E50, 54E25, 47H10, 33B10

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 29001-29017
DOI: 10.3934/math.20241407

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Cite this article:
Jleli M, Samet B. On θ-hyperbolic sine distance functions and existence results in complete metric spaces. AIMS Mathematics, 2024, 9(10): 29001-29017. https://doi.org/10.3934/math.20241407

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Received: 21 July 2024
Revised: 24 August 2024
Accepted: 29 August 2024
Published: 15 October 2024
©2024 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)