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 theore...

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Detalles Bibliográficos
Autores: Nuino,Ahmed, Hryrou,Mustapha Esseghyr, Kabbaj,Samir
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Chile
Institución:CONICYT Chile
Repositorio:SciELO Chile
OAI Identifier:oai:scielo:S0716-09172021000501155
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501155
Access Level:acceso abierto
Palabra clave:hyperstability
non-Archimedean Banach spaces
radical functional equations
quartic functional equations
Descripción
Sumario: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.