Direct and fixed point methods approach to the generalized Hyers-Ulam stability for a functional equation having monomials as solutions

H. Azadi Kenary, C. Park

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Abstract

The main goal of this paper is the study of the generalized Hyers-Ulam stability of the following functional equation f (2x+y) +f (2x-y) + (n-1)(n-2)(n-3) f (y) = 2n-2 [f(x +y) +f (x-y) +6 f (x)] where n = 1,2,3,4, in non-Archimedean spaces, by using direct and fixed point methods.

Original languageEnglish
Pages (from-to)301-307
Number of pages7
JournalIranian Journal of Science and Technology, Transaction A: Science
Volume35
Issue number4
Publication statusPublished - 2011 Dec 27

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Keywords

  • Hyers-Ulam stability
  • Non-archimedean normed space
  • P - adic field

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