Abstract and Applied Analysis

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

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2011 (2011), Article ID 123656, 10 pages.

Dates
First available in Project Euclid: 12 August 2011

https://projecteuclid.org/euclid.aaa/1313171124

Digital Object Identifier
doi:10.1155/2011/123656

Mathematical Reviews number (MathSciNet)
MR2776747

Zentralblatt MATH identifier
1216.39035

Citation

Eshaghi Gordji, M.; Alizadeh, Z. Stability and Superstability of Ring Homomorphisms on Non-Archimedean Banach Algebras. Abstr. Appl. Anal. 2011 (2011), Article ID 123656, 10 pages. doi:10.1155/2011/123656. https://projecteuclid.org/euclid.aaa/1313171124

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