Almost additive-quadratic-cubic mappings in modular spaces

• Autores: Mohammad Maghsoudi, Abasalt Bodaghi, Abolfazl Niazi Motlagh, Majid Karami
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 60, Nº. 2, 2019, págs. 359-379
• Idioma: inglés
• DOI: 10.33044/revuma.v60n2a05
• Enlaces
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• Resumen

  • We introduce and obtain the general solution of a class of generalized mixed additive, quadratic and cubic functional equations. We investigate the stability of such modified functional equations in the modular space Xρ by applying the ∆2-condition and the Fatou property (in some results) on the modular function ρ. Furthermore, a counterexample for the even case (quadratic mapping) is presented.

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