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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.40 no.1 Antofagasta feb. 2021

http://dx.doi.org/10.22199/issn.0717-6279-2021-01-0004 

Artículos

Stability of a general p-radical functional equation related to additive mappings in 2-Banach spaces

Sadeq A. A. AL-Ali1 

Muaadh Almahalebi2 
http://orcid.org/0000-0003-0647-8286

Youssfi Elkettani3 
http://orcid.org/0000-0002-2658-4687

1 Ibn Tofaïl University, Dept. of Mathematics, Faculty of Sciences, Kenitra, Morocco. E-mail: sadeqalali2018@gmail.com

2 Ibn Tofaïl University, Dept. of Mathematics, Faculty of Sciences, Kenitra, Morocco. E-mail: muaadh1979@hotmail.fr

3 Ibn Tofaïl University, Dept. of Mathematics, Faculty of Sciences, Kenitra, Morocco. E-mail: elkettani@ui-ibntofail.ac.ma

Abstract

In this paper, we introduce and solve a new general p-radical functional equation

Also, we investigate some stability and hyperstability results for the considered equation in 2-Banach spaces. In addition, we prove the hyperstability of the inhomogeneous p-radical functional equation

Keywords: Stability; Hyperstability; 2-normed space; Fixed point method; Radical functional equation.

Texto completo disponible sólo en PDF

Full text available only in PDF format.

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Received: December 31, 2019; Accepted: October 31, 2020

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