An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras

In this paper, we introduce the notion of the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras. Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of generalized ternary ring homomorphisms on non-Archimedean ternary Banach alge...

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Main Author: Ismail Nikoufar
Format: Article
Language:English
Published: Miskolc University Press 2025-01-01
Series:Miskolc Mathematical Notes
Online Access:http://mat76.mat.uni-miskolc.hu/mnotes/article/4551
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author Ismail Nikoufar
author_facet Ismail Nikoufar
author_sort Ismail Nikoufar
collection DOAJ
description In this paper, we introduce the notion of the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras. Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of generalized ternary ring homomorphisms on non-Archimedean ternary Banach algebras associated with a Cauchy-Jensen type functional equation.
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issn 1787-2405
1787-2413
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publishDate 2025-01-01
publisher Miskolc University Press
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spelling doaj-art-b0f292ca45214a9a8bd9e9e9e2ca1fdf2025-08-20T01:53:10ZengMiskolc University PressMiskolc Mathematical Notes1787-24051787-24132025-01-0126141110.18514/MMN.2025.4551An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebrasIsmail NikoufarIn this paper, we introduce the notion of the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras. Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of generalized ternary ring homomorphisms on non-Archimedean ternary Banach algebras associated with a Cauchy-Jensen type functional equation.http://mat76.mat.uni-miskolc.hu/mnotes/article/4551
spellingShingle Ismail Nikoufar
An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras
Miskolc Mathematical Notes
title An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras
title_full An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras
title_fullStr An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras
title_full_unstemmed An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras
title_short An estimation for the generalized ternary ring homomorphism on non-Archimedean ternary Banach algebras
title_sort estimation for the generalized ternary ring homomorphism on non archimedean ternary banach algebras
url http://mat76.mat.uni-miskolc.hu/mnotes/article/4551
work_keys_str_mv AT ismailnikoufar anestimationforthegeneralizedternaryringhomomorphismonnonarchimedeanternarybanachalgebras
AT ismailnikoufar estimationforthegeneralizedternaryringhomomorphismonnonarchimedeanternarybanachalgebras