Resumen de Almost additive-quadratic-cubic mappings in modular spaces

Mohammad Maghsoudi, Abasalt Bodaghi, Abolfazl Niazi Motlagh, Majid Karami

• 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.