Two fixed point results on b-metric space

Year 2025, Volume: 7 Issue: 1, 1 - 9, 30.06.2025

İshak Altun , Dildar Gülsemih Akekin

https://doi.org/10.47086/pims.1616181

Abstract

In this paper, we present two fixed point theorems on $b$-metric spaces. First, we obtain a general result, which includes many fixed point theorems on $b$-metric space in the literature as a special case, by using implicit relation technique, Then, we define the concept of nearly Lipschitzian mapping in $b$-metric spaces, and we obtain a fixed point theorem for such mappings.

Keywords

Fixed point , $b$-metric space , implicit relation , nearly Lipschitzian mapping

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