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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

AKKOUCHI, Mohamed. Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation. Proyecciones (Antofagasta) [online]. 2013, vol.32, n.1, pp.15-29. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172013000100002.

Using the alternative fixed point theorem, we establish the generalized Hyers-Ulam-Rassias stability of a Cauchy type functional equation for functions taking values in arbitrary complete (real or complex) â-normed spaces.

Keywords : Alternative fixed point; GeneralizedHyers-Ulam-Rassias stability; Cauchy type functional equation; additive mappings; â-normed spaces.

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