A Fixed Point Approach to the Stability of a Generalized Cauchy Functional Equation
نویسندگان
چکیده
We investigate the following generalized Cauchy functional equation f(αx+ βy) = αf(x) + βf(y) where α, β ∈ R \ {0}, and use a fixed point method to prove its generalized Hyers–Ulam–Rassias stability in Banach modules over a C∗-algebra.
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