1Department of Mathematics, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
2Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India
3Department of Mathematics, Federal University Lokoja, Nigeria
4Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India
5Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India
American Journal of Applied Mathematics and Statistics.
2024,
Vol. 12 No. 4, 80-85
DOI: 10.12691/ajams-12-4-2
Copyright © 2024 Science and Education PublishingCite this paper: Muhammed Raji, Laxmi Rathour, Vinay Singh, Mutalib Sadiq, Lakshmi Narayan Mishra, Vishnu Narayan Mishra. Generalized Contractions in Partially Ordered Metric Space with Rational Expressions and Related Fixed Point Results.
American Journal of Applied Mathematics and Statistics. 2024; 12(4):80-85. doi: 10.12691/ajams-12-4-2.
Correspondence to: Laxmi Rathour, Department of Mathematics, National Institute of Technology, Chaltlang, Aizawl 796 012, Mizoram, India. Email:
laxmirathour817@gmail.comAbstract
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.
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