MATHEMATICS

Remarks and a generalization of Hedudus-Szilagyis fixed point theorem

Y. Touail^a, D. El Moutawakil<sup>b

a</sup> Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fez, 30050, Morocco
^b Université Chouaib Doukkali, Morocco, El Jadida

Abstract: A new generalization of the so-called Hedudüs-Szilágyi's fixed point theorem by introducing a new contractive condition in the framework of complete metric spaces. As application, we get a new fixed point theorem which generalizes and improves many known results in literature.

Keywords: Hedudus-Szilagyi's fixed point theorem, complete metric spaces, new type contractive condition, Meir-Keeler contraction, orbit.

UDC: 517.1

MSC: 47H10, 54H25

Received: 26.01.2023
Revised: 15.08.2023
Accepted: 31.08.2023

DOI: 10.21638/spbu01.2024.110