Bilateral-type solutions to the fixed-circle problem with rectified linear units application

Authors : Nihal TAŞ

Pages : 1330-1344

Doi:10.3906/mat-1911-18

View : 12 | Download : 0

Publication Date : 0000-00-00

Article Type : Research Paper

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