4.7 Article

On the stability of the additive Cauchy functional equation in random normed spaces

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APPLIED MATHEMATICS LETTERS
卷 24, 期 12, 页码 2005-2009

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2011.05.033

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Random normed space; Hyers-Ulam-Rassias stability; Additive functional equation

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In this paper, we prove a stability result for the additive Cauchy functional equation in random normed spaces, related to the main theorem from the paper [D. Mihet, V. Radu, On the stability of the additive Cauchy functional equation in random normed spaces, J. Math, Anal, Appl. 343 (2008) 567-572]. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.

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