A geometric approach to the Proinov type contractions
Mathematica Moravica, Tome 26 (2022) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 $a_{0}$-contraction and generalized Proinov type $a_{0}$-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.
Mots-clés : Fixed circle, fixed disc, fixed ellipse, Proinov type $a_{0}$-contraction, generalized Proinov type $a_{0}$-contraction. 
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     title = {A geometric approach to the {Proinov} type contractions},
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Nihal Taş. A geometric approach to the Proinov type contractions. Mathematica Moravica, Tome 26 (2022) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2022_26_1_a9/