A geometric approach to the proinov type contractions

Abstract

In this paper, we prove some fixed-circle, fixed-disc and fixed-ellipse results on metric spaces. To do this, we define the notions of Proinov type a0-contraction and generalized Proinov type a0- contraction. Also, we give some illustrative examples to show the validity of our obtained results. Finally, we present a nice application to exponential linear unit activation functions.