Year: 2025
Type: article
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.
Authors: İshak Altun, Dildar Gülsemih Akekin
Institution: Kırıkkale University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4411768557