Title of article :
GENERALIZED ADDITIVE FUNCTIONAL INEQUALITIES IN BANACH ALGEBRAS
Author/Authors :
PARK, C Department of Mathematics - Hanyang University - Seoul, Republic of Korea , NAJATI, A Faculty of Sciences - Department of Mathematics - University of Mohaghegh Ardabili, Ardabil
Abstract :
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 inequality
ǁaf(x) + bf(y) + cf(z)ǁ ≤ ǁf(αx + βy + Υ
z)ǁ. (0.1)
Moreover, we prove the Hyers-Ulam-Rassias stability of homomorphisms in Banach
algebras and of derivations on Banach algebras associated with the generalized
additive functional inequality (0.1).
Keywords :
Hyers-Ulam-Rassias stability , generalized additive functional inequality , algebra homomorphism in Banach algebra , derivation on Banach algebra
Journal title :
Astroparticle Physics
