On the stability of a quadratic functional equation over non-Archimedean spaces
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10071/24558 |
Resumo: | Let G be an abelian group and suppose that X is a non-Archimedean Banach space. We study Hyers-Ulam-Rassias stability for the functional equation of quadratic type $$f (x + y + z) + f (x) + f (y) + f (z) = f (x + y) + f (y + z) + f (z + x)$$ where $f : G\to X$ is a map. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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spelling |
On the stability of a quadratic functional equation over non-Archimedean spacesHyers-Ulam stabilityFréchet functional equationLength functionLet G be an abelian group and suppose that X is a non-Archimedean Banach space. We study Hyers-Ulam-Rassias stability for the functional equation of quadratic type $$f (x + y + z) + f (x) + f (y) + f (z) = f (x + y) + f (y + z) + f (z + x)$$ where $f : G\to X$ is a map.University of Nis2022-02-16T16:46:32Z2021-01-01T00:00:00Z20212022-02-16T16:45:41Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/24558eng0354-518010.2298/FIL2108693BBettencourt, G. H.Mendes, S.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-09T17:36:34Zoai:repositorio.iscte-iul.pt:10071/24558Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:16:39.310859Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
On the stability of a quadratic functional equation over non-Archimedean spaces |
title |
On the stability of a quadratic functional equation over non-Archimedean spaces |
spellingShingle |
On the stability of a quadratic functional equation over non-Archimedean spaces Bettencourt, G. H. Hyers-Ulam stability Fréchet functional equation Length function |
title_short |
On the stability of a quadratic functional equation over non-Archimedean spaces |
title_full |
On the stability of a quadratic functional equation over non-Archimedean spaces |
title_fullStr |
On the stability of a quadratic functional equation over non-Archimedean spaces |
title_full_unstemmed |
On the stability of a quadratic functional equation over non-Archimedean spaces |
title_sort |
On the stability of a quadratic functional equation over non-Archimedean spaces |
author |
Bettencourt, G. H. |
author_facet |
Bettencourt, G. H. Mendes, S. |
author_role |
author |
author2 |
Mendes, S. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Bettencourt, G. H. Mendes, S. |
dc.subject.por.fl_str_mv |
Hyers-Ulam stability Fréchet functional equation Length function |
topic |
Hyers-Ulam stability Fréchet functional equation Length function |
description |
Let G be an abelian group and suppose that X is a non-Archimedean Banach space. We study Hyers-Ulam-Rassias stability for the functional equation of quadratic type $$f (x + y + z) + f (x) + f (y) + f (z) = f (x + y) + f (y + z) + f (z + x)$$ where $f : G\to X$ is a map. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01T00:00:00Z 2021 2022-02-16T16:46:32Z 2022-02-16T16:45:41Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10071/24558 |
url |
http://hdl.handle.net/10071/24558 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0354-5180 10.2298/FIL2108693B |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
University of Nis |
publisher.none.fl_str_mv |
University of Nis |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799134725402525696 |