Some Fixed Point Theorems on b<sub>2</sub> - Metric Spaces

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.