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Generalized Ulam–Hyers stability of random homomorphisms in random normed algebras associated with the Cauchy functional equation

✍ Scribed by Choonkil Park; Jung Rye Lee; Dong Yun Shin

Book ID: 113449246
Publisher: Elsevier Science
Year: 2012
Tongue: English
Weight: 239 KB
Volume: 25
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.08.018

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✍ Dorel Miheţ; Reza Saadati 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 219 KB

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. Miheţ, V. Radu, On the stability of the additive Cauchy functional equation in random normed spaces, J. Math. Anal. Appl. 343 (2008) 567-572]