Approximate Drygas mappings on a set of measure zero

Authors

  • Muaadh Almahalebi Ibn Tofail University.

DOI:

https://doi.org/10.4067/S0716-09172016000200007

Keywords:

Drygas functional equation, stability, Baire category theorem, First category, Lebesgue measure, ecuación funcional de Drygas, estabilidad, teorema de categorías de Baire, primera categoría, medida de Lebesgue.

Abstract

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.

Author Biography

Muaadh Almahalebi, Ibn Tofail University.

Department of Mathematics, Faculty of Sciences.

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Published

2017-03-23

How to Cite

[1]
M. Almahalebi, “Approximate Drygas mappings on a set of measure zero”, Proyecciones (Antofagasta, On line), vol. 35, no. 2, pp. 225-233, Mar. 2017.

Issue

Section

Artículos