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

M. Eshaghi Gordji, M. B. Ghaemi and H. Majani

Discrete Dynamics in Nature and Society, 2010, vol. 2010, 1-11

Abstract:

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

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:162371

DOI: 10.1155/2010/162371

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