%0 Journal Article
%T Generalized additive functional inequalities in Banach algebras
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Park, C.
%A Najati, A.
%D 2010
%\ 06/01/2010
%V 1
%N 2
%P 54-62
%! Generalized additive functional inequalities in Banach algebras
%K Hyers-Ulam-Rassias stability
%K generalized additive functional inequality
%K algebra homomorphism in Banach algebra
%K derivation on Banach algebra
%R 10.22075/ijnaa.2010.75
%X Using the Hyers-Ulam-Rassias stability method, we investigate isomorphisms in Banach algebras and derivations on Banach algebras associated with the following generalized additive functional inequalitybegin{eqnarray}|af(x)+bf(y)+cf(z)| le |f(alpha x+ beta y+gamma z)| .end{eqnarray}Moreover, we prove the Hyers-Ulam-Rassias stability of homomorphism in Banach algebras and of derivations on Banach algebras associated with the generalized additive functional inequality (0.1).
%U https://ijnaa.semnan.ac.ir/article_75_d483822afcaa756db55cc195d4bd784d.pdf