Research Communication | Open Access
Volume 2021 | Communication ID 247
Some fixed point results on a Menger Space endowed with a graph
Mohammed Dahmouni, Abderrahim Eladraoui, Mustapha Kabil
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 31, 2021
February 15, 2021
March 15, 2021

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 study the existence of fixed point for a single mapping in a Menger space endowed with a graph, and we prove a fixed point theorem for self-map satisfying some weak contractive inequalities type system.