@article{Taş2023, 
author = {Nihal Taş and Irshad Ayoob and Nabil Mlaiki},
title = {Some common fixed-point and fixed-figure results with a function family on        S          b      -metric spaces},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {6},
pages = {13050-13065},
keywords = {Sb-metric, fixed point, fixed figure},
url = {https://www.sciopen.com/article/10.3934/math.2023657},
doi = {10.3934/math.2023657},
abstract = {In this paper, we prove a common fixed-point theorem for four self-mappings with a function family on        S          b      -metric spaces. In addition, we investigate some geometric properties of the fixed-point set of a given self-mapping. In this context, we obtain a fixed-disc (resp. fixed-circle), fixed-ellipse, fixed-hyperbola, fixed-Cassini curve and fixed-Apollonious circle theorems on        S          b      -metric spaces.}
}