Geodesic
On the stability of a quadratic functional equation over non-Archimedean spaces
Filomat, Tome 35 (2021) no. 8, p. 2693

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DOI

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 ! X is a map.
DOI : 10.2298/FIL2108693B
Classification : 46S10, 39B52, 26E30, 12J25
Keywords: Hyers-Ulam stability, Fréchet functional equation, length function 
Gastão Bettencourt; Sérgio Mendes. On the stability of a quadratic functional equation over non-Archimedean spaces. Filomat, Tome 35 (2021) no. 8, p. 2693 . doi: 10.2298/FIL2108693B
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     title = {On the stability of a quadratic functional equation over {non-Archimedean} spaces},
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     year = {2021},
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     doi = {10.2298/FIL2108693B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108693B/}
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