Fixed Point Theory and Applications · 2007 · 176 citations · 20 references
Natural SciencesMathematicsAlgebraApplied MathematicsDynamical SystemsExistence TheoremsFixed Point TheoryFixed PointsOperator TheoryStabilityStability TheoryBanach Fixed Point TheoremExistence Of Fixed PointsFixed Point StabilityFunctional EquationsHyers-ulam StabilityOperator AlgebrasStability Of Fixed PointsStability Of Functional Differential Equations
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).
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