Please use this identifier to cite or link to this item:
http://hdl.handle.net/10071/24558
Author(s): | Bettencourt, G. H. Mendes, S. |
Date: | 2021 |
Title: | On the stability of a quadratic functional equation over non-Archimedean spaces |
Volume: | 35 |
Number: | 8 |
Pages: | 2693 - 2704 |
ISSN: | 0354-5180 |
DOI (Digital Object Identifier): | 10.2298/FIL2108693B |
Keywords: | Hyers-Ulam stability Fréchet functional equation Length function |
Abstract: | 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. |
Peerreviewed: | yes |
Access type: | Open Access |
Appears in Collections: | DM-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Files in This Item:
File | Description | Size | Format | |
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article_86548.pdf | Versão Editora | 201,9 kB | Adobe PDF | View/Open |
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