Stability of functional equations in non-Archimedean spaces
Author(s) -
Mohammad Sal Moslehian,
Themistocles M. Rassias
Publication year - 2007
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm0702325m
Subject(s) - mathematics , stability (learning theory) , pure mathematics , functional equation , functional analysis , algebra over a field , mathematical analysis , partial differential equation , biochemistry , chemistry , machine learning , computer science , gene
We prove the generalized HYERS-ULAM stability of the CAUCHY functional equation f(x + y) = f (x)+ f (y) and the quadratic functional equation f (x + y) + f (x - y) = 2f(x) + 2f(y) in non-Archimedean normed spaces
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