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On the stability of the linear functional equation in a single variable on complete metric groups |
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| Authors: | Soon-Mo Jung Dorian Popa Michael Th. Rassias |
| Affiliation: | 1. Mathematics Section, College of Science and Technology, Hongik University, Sejong, 339-701, Republic of Korea 2. Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului, 400114, Cluj-Napoca, Romania 3. Department of Mathematics, ETH-Zürich, Ramistrasse 101, 8092, Zurich, Switzerland |
| Abstract: | In this paper we obtain a result on Hyers–Ulam stability of the linear functional equation in a single variable $f(varphi (x)) = g(x) cdot f(x)$ on a complete metric group. |
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