Some Fixed Point Theorems on b2 - Metric Spaces:: Science Publishing Group

Some Fixed Point Theorems on b₂ - Metric Spaces

Bheem Singh Patel¹, Zaheer Kareem Ansari², Dharmendra Kumar³, Arun Garg¹

¹Department of Mathematics, Madhyanchal Professional University, Bhopal, India

²Department of Mathematics, JSS Academy of Technical Education, Noida, India

³Department of Mathematics Satyawati College (Evening), University of Delhi, Delhi, India

Pure and Applied Mathematics Journal, Volume 12, Issue 4, August 2023

Pages: 72-78

Received: Aug. 25, 2023

Accepted: Sep. 14, 2023

Published: Sep. 27, 2023

DOI: 10.11648/j.pamj.20231204.12

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Abstract

In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b₂-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b₂-metric space. Many Mathematician gave the concept of b₂ -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b₂ -metric spaces and prove new results.

Keywords

Fixed Point, b - Metric Space, 2-Metric Space, Partial Order Set, Generalized Contractive Mappings

To cite this article

Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg. (2023). Some Fixed Point Theorems on b2 - Metric Spaces. Pure and Applied Mathematics Journal, 12(4), 72-78. https://doi.org/10.11648/j.pamj.20231204.12

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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