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Abstract In this article, with simple and short proofs without applying fixed point theorems, some hyperstability results corresponding to the functional equations of Cauchy and Jensen are presented in 2-normed spaces. We also obtain some results on hyperstability for the general linear functional equation f (ax+by) =Af (x) +Bf (y) +C f (a x + b y) = A f (x) + B f (y) + C.
Najati et al. (Wed,) studied this question.