@article{Kalkan2024, 
author = {Zeynep Kalkan and Aynur Şahin and Ahmad Aloqaily and Nabil Mlaiki},
title = {Some fixed point and stability results in    b-metric-like spaces with an application to integral equations on time scales},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {11335-11351},
keywords = {stability, fixed point, b-metric-like space, T-mean nonexpansive mapping, Hammerstein integral equation, time scale},
url = {https://www.sciopen.com/article/10.3934/math.2024556},
doi = {10.3934/math.2024556},
abstract = {This paper presents the stability theorem for the    T-Picard iteration scheme and establishes the existence and uniqueness theorem for fixed points concerning    T-mean nonexpansive mappings within    b-metric-like spaces. The outcome of our fixed point theorem substantiated the existence and uniqueness of solutions to the Fredholm-Hammerstein integral equations defined on time scales. Additionally, we provided two numerical examples from distinct time scales to support our findings empirically.}
}