Peer-Reviewed Article August 25, 2007
Fixed Points and Hyers-Ulam-Rassias Stability of Cauchy-Jensen Functional Equations in Banach Algebras
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Published in: Fixed Point Theory and Applications
Publisher: Springer Nature • Egypt • 1687-1812
Abstract
Abstract 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: "Equation missing", "Equation missing", 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).