On $ \theta $-hyperbolic sine distance functions and existence results in complete metric spaces

Mohamed Jleli; Bessem Samet; Mohamed Jleli; Bessem Samet

doi:10.3934/math.20241407

AIMS Mathematics

2024, Volume 9, Issue 10: 29001-29017. doi: 10.3934/math.20241407

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On $ \theta $-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

Received: 21 July 2024 Revised: 24 August 2024 Accepted: 29 August 2024 Published: 14 October 2024
MSC : 54E50, 54E25, 47H10, 33B10

In this paper, we first introduced the notion of $ \theta $-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 $ \theta $-hyperbolic sine distance function.
- metric spaces,
- hyperbolic functions,
- $ \theta $-hyperbolic sine distance functions,
- fixed point
Citation: Mohamed Jleli, Bessem Samet. On $ \theta $-hyperbolic sine distance functions and existence results in complete metric spaces[J]. AIMS Mathematics, 2024, 9(10): 29001-29017. doi: 10.3934/math.20241407

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Abstract

In this paper, we first introduced the notion of $ \theta $-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 $ \theta $-hyperbolic sine distance function.

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