A Geometric Interpretation to Fixed-Point Theory on $S_{b}$-Metric Spaces
Metric Geometry
2021-08-19 v1
Abstract
In this paper we present some fixed-figure theorems as a geometric approach to the fixed-point theory when the number of fixed points of a self-mapping is more than one. To do this, we modify the Jleli-Samet type contraction and define new contractions on -metric spaces. Also, we give some necessary examples to show the validity of our theoretical results. Keywords: Fixed figure, fixed disc, fixed ellipse, fixed hyperbola, fixed Cassini curve, fixed Apollonius circle.
Keywords
Cite
@article{arxiv.2108.03516,
title = {A Geometric Interpretation to Fixed-Point Theory on $S_{b}$-Metric Spaces},
author = {Hülya Atyimur and Nihal Taş},
journal= {arXiv preprint arXiv:2108.03516},
year = {2021}
}
Comments
11 pages, 3 figures