<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

New Fixed Point Theorems on Complete <italic>b</italic>-Metric Space by Using Rus Contraction Mapping

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

New Fixed Point Theorems on Complete -Metric Space by Using Rus Contraction Mapping

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...

New Fixed Point Theorems on Complete b-Metric Space by Using Rus Contraction Mapping

Published Online: May 29, 2024

Page range: -

Received: Dec 27, 2023

Accepted: Apr 05, 2024

DOI: https://doi.org/10.2478/tmmp-2024-0010

Keywords
b-metric space, Contraction mapping, Common fixed point

© 2024 Krishna Bhattacharjee et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

New Fixed Point Theorems on Complete b-Metric Space by Using Rus Contraction Mapping

Published Online: May 29, 2024

Page range: -

Received: Dec 27, 2023

Accepted: Apr 05, 2024

DOI: https://doi.org/10.2478/tmmp-2024-0010

Keywordsb-metric space, Contraction mapping, Common fixed point

© 2024 Krishna Bhattacharjee et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
b-metric space, Contraction mapping, Common fixed point