Jensen type functional equation; fixed point; homomorphism in Banach algebra; generalized Hyers-Ulam stability; derivation on Banach algebra
Issue Date
2011-07
Publisher
The Kangwon-Kyungki Mathematical Society
Citation
Korean Journal of Mathematics, 2011, 19(2), P.149-161
Abstract
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in Banach algebras and of derivations on Banach algebras for the following Jensen type functional equation: $$f({\frac{x+y}{2}})+f({\frac{x-y}{2}})=f(x)$$.