New fixed point theorems on complete $b$-metric space by using Rus contraction mapping

KRISHNA BHATTACHARJEE, Amit Kumar Laha, RAKHAL DAS

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. 

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