Some hyperstability results of a p-radical functional equation related to quartic mappings in non-Archimedean Banach spaces

Abstract The aim of this paper is to introduce and solve the following p-radical functional equation related to quartic mappings where f is a mapping from R into a vector space X and p ≥ 3 is an odd natural number. Using an analogue version of Brzdȩk’s fixed point theo...

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Bibliographic Details
Main Authors: Nuino,Ahmed, Hryrou,Mustapha Esseghyr, Kabbaj,Samir
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2021
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Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501155
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Summary:Abstract The aim of this paper is to introduce and solve the following p-radical functional equation related to quartic mappings where f is a mapping from R into a vector space X and p ≥ 3 is an odd natural number. Using an analogue version of Brzdȩk’s fixed point theorem [13], we establish some hyperstability results for the considered equation in non-Archimedean Banach spaces. Also, we give some hyperstability results for the inhomogeneous p-radical functional equation related to quartic mapping.