Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 486
Fixed point theorems on a Menger space with two families of distribution functions
Mohammed Dahmouni, Karim Chaira, Abderrahim Eladraoui, Mustapha Kabil
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 01, 2022
March 03, 2402
April 15, 2402

Abstract: A Menger space is a probabilistic metric space that generalizes the notion of mertic spaces. This space is a triplet (E,F,τ) with E is a non-empty set, F is a family of distribution’s function and τ is a t-norm [1]. In this work, we establish some common fixed point theorems for a pair of mappings verifying systems of Caristi-type contractions in the framework of Menger spaces.