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The stability of an additive functional equation in menger probabilisticφ-normed spaces

✍ Scribed by D. Miheţ; R. Saadati; S. M. Vaezpour

Book ID
111493196
Publisher
SP Versita
Year
2011
Tongue
English
Weight
181 KB
Volume
61
Category
Article
ISSN
0139-9918

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✦ Synopsis

Abstract

We establish a stability result concerning the functional equation: $\sum\limits_{i = 1}^m {f\left( {mx_i + \sum\limits_{j = 1,j \ne i}^m {x_j } } \right) + f\left( {\sum\limits_{i = 1}^m {x_i } } \right) = 2f\left( {\sum\limits_{i = 1}^m {mx_i } } \right)} $ in a large class of complete probabilistic normed spaces, via fixed point theory.

📜 SIMILAR VOLUMES

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