Hyers-Ulam-Rassias RNS Approximation of Euler-Lagrange-Type Additive Mappings

H. Azadi Kenary, H. Rezaei, A. Ebadian and A. R. Zohdi

Mathematical Problems in Engineering, 2012, vol. 2012, 1-15

Abstract:

Recently the generalized Hyers-Ulam (or Hyers-Ulam-Rassias) stability of the following functional equation where , proved in Banach modules over a unital -algebra. It was shown that if , for some and a mapping satisfies the above mentioned functional equation then the mapping is Cauchy additive. In this paper we prove the Hyers-Ulam-Rassias stability of the above mentioned functional equation in random normed spaces (briefly RNS).

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:672531

DOI: 10.1155/2012/672531

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