Fixed-circle theorems on G-metric spaces

Abstract

In this paper, we introduce the concept of fixed-circle on G-metric spaces. Using this new concept, we prove some existence and uniqueness theorems for fixed-circles of self-mappings with a geometric interpretation. We also give some examples that verify the conditions of our results. Finally, we present an application to the Rectified linear unit (ReLU) activation functions to show the importance of our obtained results.