Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras

Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras associated with the Jensen functional equation.

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2011; no. 2011; pp. 114 - 123
Main Authors Gordji, Madjid Eshaghi, Alizadeh, Z.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2011
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Wiley
Subjects
Banach spaces
Fixed point theory
Mathematical analysis
Mathematical models
Rings (Algebra)
Studies
Iran
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Summary:Using fixed point methods, we prove the superstability and generalized Hyers-Ulam stability of ring homomorphisms on non-Archimedean Banach algebras. Moreover, we investigate the superstability of ring homomorphisms in non-Archimedean Banach algebras associated with the Jensen functional equation.
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/123656