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On the stability of the linear functional equation in a single variable on complete metric groups

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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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Authors and Affiliations

  1. Mathematics Section, College of Science and Technology, Hongik University, Sejong, 339-701, Republic of Korea

    Soon-Mo Jung

  2. Department of Mathematics, Technical University of Cluj-Napoca, 28 Memorandumului, 400114, Cluj-Napoca, Romania

    Dorian Popa

  3. Department of Mathematics, ETH-Zürich, Ramistrasse 101, 8092, Zurich, Switzerland

    Michael Th. Rassias

Authors
  1. Soon-Mo Jung
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  2. Dorian Popa
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  3. Michael Th. Rassias
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Correspondence to Soon-Mo Jung.

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Jung, SM., Popa, D. & Rassias, M.T. On the stability of the linear functional equation in a single variable on complete metric groups. J Glob Optim 59, 165–171 (2014). https://doi.org/10.1007/s10898-013-0083-9

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  • DOI: https://doi.org/10.1007/s10898-013-0083-9

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