On perturbations of two general equations in several variables

Abstract In this paper, we deal with perturbations of two general functional equations in several variables. Namely, prove the generalized, spirit Bourgin, Ulam stability these Banach spaces. order to do this, use fixed point method. Moreover, as corollaries from our main results, get outcomes on approximate solutions a few important classic equations. They include, among others, which characterize multi-additive and multi-quadratic mappings. consequence, perturbation homomorphisms spaces quadratic mappings is also treated.