126 research outputs found
Hyers-Ulam-Rassias Stability of Generalized Derivations
The generalized Hyers--Ulam--Rassias stability of generalized derivations on
unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math. Math. Sc
Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations
The generalized Hyers-Ulam-Rassias stability of generalized module left ▫▫-derivations on a normed algebra ▫▫ into a Banach left ▫▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih modulskih levih ▫▫-odvajanj, ki slikajo iz normirane algebre ▫▫ v Banachov levi ▫▫-modul
Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras
We prove the Hyers-Ulam-Rassias stability of homomorphisms in real Banach algebras and of generalized derivations on real Banach algebras for the following Cauchy-Jensen functional equations: f(x+y/2+z)+f(x−y/2+z)=f(x)+2f(z), 2f(x+y/2+z)=f(x)+f(y)+2f(z), which were introduced and investigated by Baak (2006). The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias' stability theorem that appeared in his paper (1978)
On the stability of Jderivations
In this paper, we establish the stability and superstability of
derivations in algebras for the generalized Jensen--type functional
equation Finally, we
investigate the stability of derivations by using the fixed point
alternative
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