Y. Touail, A. Jaid, D. El Moutawakil, “A new common fixed point theorem on orthogonal metric spaces and an application”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2023, Volume 27, Number 4,Pages <nobr>737

Short Communication
Differential Equations and Mathematical Physics

A new common fixed point theorem on orthogonal metric spaces and an application

Y. Touail^a, A. Jaid^b, D. El Moutawakil^c

^a Université Sidi Mohamed Ben Abdellah, Fez, Morocco
^b Université Sultan Moulay Slimane, Beni-Mellal, Morocco
^c Université Chouaib Doukkali, El Jadida, Morocco

Abstract: In the present work, a common fixed point result for self-mappings on orthogonal complete metric spaces, which are not necessarily complete, is proved. Furthermore, as an application, we find the existence of solutions to two differential equations.

Keywords: common fixed point, orthogonal metric space

UDC: 517.988.523

MSC: 47H10, 54H25

Received: January 28, 2023
Revised: November 17, 2023
Accepted: December 13, 2023
First online: December 25, 2023

Language: English

DOI: 10.14498/vsgtu1998