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Proyecciones (Antofagasta)

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Abstract

ALMAHALEBI, Muaadh. Approximate Drygas mappings on a set of measure zero. Proyecciones (Antofagasta) [online]. 2016, vol.35, n.2, pp.225-233. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172016000200007.

Let R be the set of real numbers, Y be a Banach space and f : R →Y. We prove the Hyers-Ulam stability for the Drygas functional equation f (x + y) + f (x - y) = 2f (x) + f (y) + f (-y) for all (x, y) ∈ Ω, where Ω⊂ R2 is of Lebesgue measure 0.

Keywords : Drygas functional equation; stability; Baire category theorem; First category; Lebesgue measure.

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