eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2024-11-25 12 4 80 85 10.12691/ajams-12-4-2 AJAMS20241242 article Muhammed Raji 1 Laxmi Rathour laxmirathour817@gmail.com 2 Vinay Singh 2 Mutalib Sadiq 3 Lakshmi Narayan Mishra 4 Vishnu Narayan Mishra 5 Department of Mathematics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India Department of Mathematics, Federal University Lokoja, Nigeria Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India This paper aims to prove the existence and uniqueness of some fixed point for nonlinear contractive mappings in the setting of metric spaces and partially ordered metrics spaces satisfying a contraction condition of rational type. These contributions extend the existing literature on metric spaces and fixed point theory. Through illustrative examples, we showcase the practical applicability of our proposed notions and results, demonstrating their effectiveness in real-world scenarios. https://pubs.sciepub.com/ajams/12/4/2/ajams-12-4-2.pdf Partially ordered metric space Fixed point Rational contractions Monotone property