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

• Nuino, Ahmed ^[1] ; Esseghyr Hryrou, Mustapha ^[1] ; Kabbaj, Samir ^[1]
  1. [1] Université Ibn-Tofail

     Université Ibn-Tofail

     Kenitra, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 5, 2021, págs. 1155-1177
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-3704
• Enlaces
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• Resumen

  • 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 Brzd¸ek’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.

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