We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of derivations in non-Archimedean Banach algebras with bounded approximate identity.
Madjid Eshaghi Gordji. "Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras." Abstr. Appl. Anal. 2010 1 - 12, 2010. https://doi.org/10.1155/2010/393247