The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras

In this paper, the generalized Hyers-Ulam stability of the functional inequality||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||,      |k|<|2|,in non-Archimedean Banach algebras is established.

کلیدواژه ها:

Banach algebra ، derivation ، Generalized Hyers-Ulam stability ، Non-Archimedean Banach algebra