New fixed point theorems on complete $b$-metric space by using Rus contraction mapping: Real Functions and Algebra

Pages: 135 - 146

Language: eng

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.

Bhattacharjee, K., Laha, A. K., Das, R. 2024. New fixed point theorems on complete $b$-metric space by using Rus contraction mapping: Real Functions and Algebra. In Tatra Mountains Mathematical Publications, vol. 86, no.1, pp. 135-146. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2024-0010

Bhattacharjee, K., Laha, A. K., Das, R. (2024). New fixed point theorems on complete $b$-metric space by using Rus contraction mapping: Real Functions and Algebra. Tatra Mountains Mathematical Publications, 86(1), 135-146. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2024-0010

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

https://creativecommons.org/licenses/by-nc-nd/4.0/