On the hyperstability of a quartic functional equation in Banach spaces

In this paper, we establish some hyperstability results of the following functional equation f (2x + y) + f (2x - y) = 4(f (x + y) + f (x - y)) + 24f (x) - 6f (y) in Banach spaces.

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Autor principal: Bounader,Nordine
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2017
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100003
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spelling oai:scielo:S0716-091720170001000032017-02-13On the hyperstability of a quartic functional equation in Banach spacesBounader,Nordine Hyperstability Quartic functional equation fixed point theorem In this paper, we establish some hyperstability results of the following functional equation f (2x + y) + f (2x - y) = 4(f (x + y) + f (x - y)) + 24f (x) - 6f (y) in Banach spaces.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.1 20172017-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100003en10.4067/S0716-09172017000100003
institution Scielo Chile
collection Scielo Chile
language English
topic Hyperstability
Quartic functional equation
fixed point theorem
spellingShingle Hyperstability
Quartic functional equation
fixed point theorem
Bounader,Nordine
On the hyperstability of a quartic functional equation in Banach spaces
description In this paper, we establish some hyperstability results of the following functional equation f (2x + y) + f (2x - y) = 4(f (x + y) + f (x - y)) + 24f (x) - 6f (y) in Banach spaces.
author Bounader,Nordine
author_facet Bounader,Nordine
author_sort Bounader,Nordine
title On the hyperstability of a quartic functional equation in Banach spaces
title_short On the hyperstability of a quartic functional equation in Banach spaces
title_full On the hyperstability of a quartic functional equation in Banach spaces
title_fullStr On the hyperstability of a quartic functional equation in Banach spaces
title_full_unstemmed On the hyperstability of a quartic functional equation in Banach spaces
title_sort on the hyperstability of a quartic functional equation in banach spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000100003
work_keys_str_mv AT bounadernordine onthehyperstabilityofaquarticfunctionalequationinbanachspaces
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