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

✍ Scribed by Dorel Miheţ; Reza Saadati

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
219 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

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].

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On the Stability of Functional Equations
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✍ Themistocles M Rassias 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 140 KB

The paper is devoted to some results on the problem of S. M. Ulam for the stability of functional equations in Banach spaces. The problem was posed by Ulam 60 years ago.