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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Universidad Católica del Norte, Departamento de Matemáticas
2013
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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 |
_version_ |
1718439787523735552 |