Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation

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.

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Autor principal: Akkouchi,Mohamed
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2013
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100002
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spelling oai:scielo:S0716-091720130001000022014-09-09Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equationAkkouchi,Mohamed Alternative fixed point GeneralizedHyers-Ulam-Rassias stability Cauchy type functional equation additive mappings â-normed spaces 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.32 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100002en10.4067/S0716-09172013000100002
institution Scielo Chile
collection Scielo Chile
language English
topic Alternative fixed point
GeneralizedHyers-Ulam-Rassias stability
Cauchy type functional equation
additive mappings
â-normed spaces
spellingShingle Alternative fixed point
GeneralizedHyers-Ulam-Rassias stability
Cauchy type functional equation
additive mappings
â-normed spaces
Akkouchi,Mohamed
Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation
description 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.
author Akkouchi,Mohamed
author_facet Akkouchi,Mohamed
author_sort Akkouchi,Mohamed
title Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation
title_short Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation
title_full Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation
title_fullStr Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation
title_full_unstemmed Generalized Ulam-Hyers-Rassias stability of a Cauchy type functional equation
title_sort generalized ulam-hyers-rassias stability of a cauchy type functional equation
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2013
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100002
work_keys_str_mv AT akkouchimohamed generalizedulamhyersrassiasstabilityofacauchytypefunctionalequation
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