Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces

We introduce two reasonable versions of approximately additive functions in a Šerstnev probabilistic normed space endowed with Π𝑀 triangle function. More precisely, we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in above ment...

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Bibliographic Details
Main Authors: M. Eshaghi Gordji, M. B. Ghaemi, H. Majani
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/162371