quasi norm is a non-negative function . on a linear space X satisfying the same axioms as a norm except for the triangle inequality, which is replaced by the weaker condition that “there is a constant K  1 such that x + y  K(x + y) for all x, y ∈ X ”. In this paper, we prove the Hyers–Ulam–Rassias stability of linear mappings in quasi-Banach modules associated to the Cauchy functional equation and a generalized Jensen functional equation. 1.

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