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

Bhattacharjee, Krishna; Laha, Amit Kumar; Das, Rakhal

doi:10.2478/tmmp-2024-0010

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

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