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Research Article | Open Access

On fixed point theorems for ordered contractions with applications

Zili Shi1, Huaping Huang1( ), Bessem Samet2, Yuxin Wang1
School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404020, China
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
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Abstract

The purpose of this paper is to prove some fixed point theorems for ordered contractions in partially ordered b-metric spaces. We consider several common fixed point and coincidence point results for four mappings in such spaces. The results obtained in this paper significantly extend numerous results in the existing literature. Further, we present some supportive examples to emphasize the potential value of our results. In addition, as applications, we verify the existence and uniqueness of solutions to a large number of equations.

Keywords

common fixed pointcoincidence pointb-metric spaceordered contractive pairweakly compatible
CLC number: 54H25, 47H10, 54E50

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AIMS Mathematics
Volume 10 Issue 3,
March 2025
Pages 5173-5196
DOI: 10.3934/math.2025238

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Cite this article:
Shi Z, Huang H, Samet B, et al. On fixed point theorems for ordered contractions with applications. AIMS Mathematics, 2025, 10(3): 5173-5196. https://doi.org/10.3934/math.2025238

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Received: 29 December 2024
Revised: 26 February 2025
Accepted: 28 February 2025
Published: 15 March 2025
©2025 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)