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Paper IPM / M / 8565  


Abstract:  
A quasi norm is a nonnegative 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 HyersUlamRassias stability of linear mappings in
quasiBanach modules associated to the Cauchy functional equation
and a generalized Jensen functional equation.
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