In this paper we prove that an interesting result concerning the generalized Hyers-Ulam stability of the linear functional equation 
on a complete metric group, given in 2014 by S.M. Jung, D. Popa and M.T. Rassias, can be obtained using the fixed point technique. Moreover, we give a characterization of the functions that can be approximated with a given error, by the solution of the linear equation mention above.
Our results are also related to a recent result of G.H. Kim and Th.M. Rassias concerning the stability of Psi functional equation.
Fixed points and the stability of the linear functional equations in a single variable
Cădariu, Liviu and Manolescu, Laura
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carpathian_2022_38_3_769_776Additional Information
| Author(s) | Manolescu, Laura, Cădariu, Liviu |
|---|---|
| DOI | https://doi.org/10.37193/CJM.2022.03.20 |
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