Abstract
Let \({\mathbb R}\) be the set of real numbers, \({f : \mathbb {R} \to \mathbb {R}}\), \({\epsilon \ge 0}\) and d > 0. We denote by {(x 1, y 1), (x 2, y 2), (x 3, y 3), . . .} a countable dense subset of \({\mathbb {R}^2}\) and let
We consider the Hyers-Ulam stability of the conditional Cauchy functional inequality
for all \({(x, y) \in U_d}\) .
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Chung, JY. Stability of a conditional Cauchy equation. Aequat. Math. 83, 313–320 (2012). https://doi.org/10.1007/s00010-012-0116-3
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DOI: https://doi.org/10.1007/s00010-012-0116-3