Additive–cubic functional equations from additive groups into non–Archimedean Banach spaces

In this paper, we establish the generalized Hyres–Ulam stability of the mixed type additive–cubic functional equation f ( 2 x + y ) + f ( 2 x − y ) = 2 f ( x + y ) + 2 f ( x − y ) + 2 f ( 2 x ) − 4 f ( x ) from additive groups into non–Archimedean Banach spaces.

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Bibliographic Details
Published in:Filomat 2013-01, Vol.27 (5), p.731-738
Main Authors: Gordji, M. Eshaghi, Savadkouhi, M. Bavand, Bidkham, M.
Format: Article
Language:English
Subjects:
Banach space
College mathematics
Mathematical functions
Triangle inequalities
Online Access:Get full text
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Description
Summary:In this paper, we establish the generalized Hyres–Ulam stability of the mixed type additive–cubic functional equation f ( 2 x + y ) + f ( 2 x − y ) = 2 f ( x + y ) + 2 f ( x − y ) + 2 f ( 2 x ) − 4 f ( x ) from additive groups into non–Archimedean Banach spaces.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1305731E