Common Fixed Point Theorems for Generalized Contractions in Ordered <i>M</i>-Metric Spaces

Nawab  Hussain; Alofi Abdulaziz; Osama  Alhindi

doi:10.37256/cm.6220256188

Common Fixed Point Theorems for Generalized Contractions in Ordered M-Metric Spaces

Authors

Nawab Hussain Department of Mathematics, King Abdulaziz University, P.O. Box, 80203, Jeddah, 21589, Saudi Arabia https://orcid.org/0000-0001-6585-2202
Alofi Abdulaziz Department of Mathematics, King Abdulaziz University, P.O. Box, 80203, Jeddah, 21589, Saudi Arabia
Osama Alhindi Department of Mathematics, King Abdulaziz University, P.O. Box, 80203, Jeddah, 21589, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.6220256188

Keywords:

partial metric space, M-metric space, fixed point, ordered space, contraction mapping, Reich contraction

Abstract

This paper seeks to investigate and derive fixed point and common fixed point results for almost generalized contractive mappings and Reich contractions within the framework of partially ordered M-metric spaces. Furthermore, the practical utility and applicability of these findings are demonstrated through illustrative examples. The results presented herein build upon and substantially generalize several foundational studies in the existing literature.

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Published

2025-03-13

How to Cite

Hussain N, Abdulaziz A, Alhindi O. Common Fixed Point Theorems for Generalized Contractions in Ordered <i>M</i>-Metric Spaces. Contemp. Math. [Internet]. 2025 Mar. 13 [cited 2025 Mar. 17];6(2):1738-55. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6188

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Issue

Contemporary Mathematics, Volume 6 Issue 2 (2025)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.