Work

Fixed point results in Menger probabilistic suprametric spaces with an application to fractional differential equations

Year: 2025

Type: article

Abstract: In this paper, our objective is to extend the concept of Menger probability metric space by presenting its corresponding structure, namely the Menger probability suprametric space. Additionally, we investigate several topological properties of this space and establish a fixed point theorem involving probabilistic nonlinear Banach contractions. As applications, we present a suprametric extension of (Mediterr. J. Math. 19(5):1–18, 2022) and a consideration of the solution existence of a fractional differential equation that involves ψ-Hilfer fractional derivatives.

Source: Fixed Point Theory and Algorithms for Sciences and Engineering

DOI: 10.1186/s13663-025-00782-9

Authors: Karim Chaira, Nour-Eddine El Harmouchi

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,790

OpenAlex ID: W4409232238

FWCI: 7.1

Cites: 29

Cited by: 4

Related to: 10