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Research Article | Open Access

Results pertaining to fixed points in ordered metric spaces with auxiliary functions and application to integral equation

N. Seshagiri Rao1, Ahmad Aloqaily2,3, Nabil Mlaiki2( )
Department of Mathematics and Statistics, School of Applied Science and Humanities, Vignan's Foundation for Science, Technology and Research, Vadlamudi, Guntur, Andhra Pradesh 522213, India; seshu.namana@gmail.com
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia; nmlaiki2012@gmail.com
School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney 2150, Australia; maloqaily@psu.edu.sa
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Abstract

This paper delves into fixed point findings within a complete partially ordered b-metric space, focusing on mappings that adhere to weakly contractive conditions in the presence of essential topological characteristics. These findings represent modifications of established results and further extend analogous outcomes in the existing literature. The conclusions are substantiated by illustrative examples that strengthen the conclusion of the paper.

Keywords

weakly contractive conditionsb-metric spacefixed pointcompatible mappingscoincidence pointscoupled coincidence points
CLC number: 47H10, 54H25

References

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AIMS Mathematics
Volume 9 Issue 5,
May 2024
Pages 10832-10857
DOI: 10.3934/math.2024528

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Cite this article:
Rao NS, Aloqaily A, Mlaiki N. Results pertaining to fixed points in ordered metric spaces with auxiliary functions and application to integral equation. AIMS Mathematics, 2024, 9(5): 10832-10857. https://doi.org/10.3934/math.2024528

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Received: 03 February 2024
Revised: 10 March 2024
Accepted: 13 March 2024
Published: 15 May 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)