Bilateral-type solutions to the fixed-circle problem with rectified linear units application
Nıhal Taş
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".
Topics & Concepts
MathematicsFixed pointContraction (grammar)Metric spaceType (biology)Topology (electrical circuits)Mathematical analysisCombinatoricsEcologyMedicineBiologyInternal medicineControl and Dynamics of Mobile RobotsAdvanced Theoretical and Applied Studies in Material Sciences and GeometryVehicle Dynamics and Control Systems