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Zbl 1227.39022
Eshaghi Gordji, M.; Ghaemi, M.B.; Alizadeh, Badrkhan
A fixed point approach to superstability of generalized derivations on non-Archimedean Banach algebras. (English)
[J] Abstr. Appl. Anal. 2011, Article ID 587097, 9 p. (2011). ISSN 1085-3375; ISSN 1687-0409/e

Summary: We investigate the superstability of generalized derivations in non-Archimedean algebras by using a version of fixed point theorem via the Cauchy functional equation.
MSC 2000:
*39B82 Stability, separation, extension, and related topics
46L57 Derivations etc. in $C^*$-algebras
46S10 Functional analysis over fields (not R, C, or quaternions)
39B52 Functional equations for functions with more general domains

Keywords: non-Archimedean Banach algebras; superstability; generalized derivations; fixed point theorem; Cauchy functional equation

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