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

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  • M. Eshaghi Gordji
  • M. B. Ghaemi
  • H. Majani

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.

Suggested Citation

  • M. Eshaghi Gordji & M. B. Ghaemi & H. Majani, 2010. "Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-11, February.
    • Handle: RePEc:hin:jnddns:162371
    DOI: 10.1155/2010/162371
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