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Stability problem in a set of Lebesgue measure zero of bi-additive functional equation

dc.creatorEl Ghali, Rachid
dc.creatorKabbaj, Samir
dc.date2022-06-01
dc.date.accessioned2022-08-30T15:59:39Z
dc.date.available2022-08-30T15:59:39Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4691
dc.identifier10.22199/issn.0717-6279-4691
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/207092
dc.descriptionLet X be a vector space and Y be a Banach space. Our aim in this paper is to investigate the Hyers-Ulam stability problem of the following bi-additive functional equation f(x + y, s − t) + f(x − y, s + t)=2f(x, s) − 2f(y, t), x, y, s, t ∈ X, where f : X × X → Y . As a consequence, we discuss the stability of the considered functional equation in a restricted domain and in the set of Lebesgue measure zero.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4691/4057
dc.rightsCopyright (c) 2022 Rachid El Ghali, Samir Kabbajen-US
dc.rightshttps://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 41 No. 3 (2022); 751-764en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 41 Núm. 3 (2022); 751-764es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2022-03
dc.subjectbi-additive functional equationen-US
dc.subjectHyers-Ulam stabilityen-US
dc.subjectfunctional equationen-US
dc.subjectBaire category theoremen-US
dc.subjectfirst categoryen-US
dc.subjectLebesgue measureen-US
dc.subject39B82en-US
dc.subject39B52en-US
dc.titleStability problem in a set of Lebesgue measure zero of bi-additive functional equationen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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