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 106
Hyperstability of cubic functional equation
Youssef Aribou, Mohamed Rossafi, Hajira Dimou
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 11, 2022
March 03, 2101
April 15, 2101

Abstract: The stability problem of the functional equation was evoked by Ulam in 1940. In mathematical modeling of physical problems, the deviations in measurements will result with errors and deviations can be dealt with the stability of equations. Hence, the stability of equations is essential in mathematical models. In this paper, we prove the hyperstability of a cubic functional equation on a restricted domain. The method of the proof of the main theorem is motivated by an idea used by Brzdek in 2013 And further by Piszczek, it is based on a fixed point theorem for functional spaces ...