On the stability of a quadratic functional equation over non-Archimedean spaces
| Autor(a) principal: | |
|---|---|
| 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. |
| id |
RCAP_d0411b8cbcbd147aef11d3ad16250740 |
|---|---|
| oai_identifier_str |
oai:repositorio.iscte-iul.pt:10071/24558 |
| network_acronym_str |
RCAP |
| network_name_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| repository_id_str |
7160 |
| 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 |
| instname_str |
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 |
| repository.mail.fl_str_mv |
|
| _version_ |
1799134725402525696 |