New Fixed Point Theorems on Complete b -Metric Space by Using Rus Contraction Mapping
, and
May 29, 2024
About this article
Published Online: May 29, 2024
Page range: 135 - 146
Received: Dec 27, 2023
Accepted: Apr 05, 2024
DOI: https://doi.org/10.2478/tmmp-2024-0010
Keywords
© 2024 Krishna Bhattacharjee et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
This paper investigates a fixed point over a complete b-metric space for a family of contractive mappings. In this paper, we have discovered new results in the direction of the complete b-metric space by using Rus contraction. Furthermore, we establish a common fixed point theorem between two mappings over complete b-metric space. We also provide some non-trivial examples to display the authenticity of our established results.