GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS
Let A , B be two rings. A mapping δ : A → B is called quartic derivation, if δ is a quartic function satisfies δ(ab) = a4δ(b) + δ(a)b4 for all a, b ∈ A. The main purpose of this paper to prove the generalized Hyers-Ulam-Rassias stabili...
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Universidad Católica del Norte, Departamento de Matemáticas
2010
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oai:scielo:S0716-091720100003000052010-12-29GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRASEshaghi Gordji,MGhobadipour,N Banach algebra quartic functional equation quartic derivation Hyer-Ulam-Rassias stability Let A , B be two rings. A mapping δ : A → B is called quartic derivation, if δ is a quartic function satisfies δ(ab) = a4δ(b) + δ(a)b4 for all a, b ∈ A. The main purpose of this paper to prove the generalized Hyers-Ulam-Rassias stability of the quartic derivations on Banach algebras.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.3 20102010-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300005en10.4067/S0716-09172010000300005 |
institution |
Scielo Chile |
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Scielo Chile |
language |
English |
topic |
Banach algebra quartic functional equation quartic derivation Hyer-Ulam-Rassias stability |
spellingShingle |
Banach algebra quartic functional equation quartic derivation Hyer-Ulam-Rassias stability Eshaghi Gordji,M Ghobadipour,N GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS |
description |
Let A , B be two rings. A mapping δ : A → B is called quartic derivation, if δ is a quartic function satisfies δ(ab) = a4δ(b) + δ(a)b4 for all a, b ∈ A. The main purpose of this paper to prove the generalized Hyers-Ulam-Rassias stability of the quartic derivations on Banach algebras. |
author |
Eshaghi Gordji,M Ghobadipour,N |
author_facet |
Eshaghi Gordji,M Ghobadipour,N |
author_sort |
Eshaghi Gordji,M |
title |
GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS |
title_short |
GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS |
title_full |
GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS |
title_fullStr |
GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS |
title_full_unstemmed |
GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS |
title_sort |
generalized ulam-hyers stabilities of quartic derivations on banach algebras |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2010 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300005 |
work_keys_str_mv |
AT eshaghigordjim generalizedulamhyersstabilitiesofquarticderivationsonbanachalgebras AT ghobadipourn generalizedulamhyersstabilitiesofquarticderivationsonbanachalgebras |
_version_ |
1718439771405025280 |