Journal of Function Spaces and Applications (Jan 2011)

Fuzzy approximation of an additive functional equation

  • G. Zamani Eskandani,
  • Ali Reza Zamani,
  • H. Vaezi

DOI
https://doi.org/10.1155/2011/941731
Journal volume & issue
Vol. 9, no. 2
pp. 205 – 215

Abstract

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In this paper, we investigate the generalized Hyers– Ulam– Rassias stability of the functional equation ∑i=1mf(mxi+∑j=1, j≠imxj)+f(∑i=1mxi)=2f(∑i=1mmxi) in fuzzy Banach spaces and some applications of our results in the stability of above mapping from a normed space to a Banach space will be exhibited.