Turkish Journal of Mathematics
DOI
10.3906/mat-1911-18
Abstract
In this paper, we prove new fixed-circle (resp. fixed-disc) results using the bilateral type contractions on a metric space. To do this, we modify some known contractive conditions called the Jaggi-type bilateral contraction and the Dass-Gupta type bilateral contraction. We give some examples to show the validity of our obtained results. Also, we construct an application to rectified linear units activation functions used in the neural networks. This application shows the importance of studying "fixed-circle problem".
Keywords
Fixed circle, metric space, bilateral contraction
First Page
1330
Last Page
1344
Recommended Citation
TAŞ, NİHAL
(2020)
"Bilateral-type solutions to the fixed-circle problem with rectified linear units application,"
Turkish Journal of Mathematics: Vol. 44:
No.
4, Article 18.
https://doi.org/10.3906/mat-1911-18
Available at:
https://journals.tubitak.gov.tr/math/vol44/iss4/18
