ANNALI DELL'UNIVERSITA' DI FERRARA

, Volume 60, Issue 2, pp 307–319

Stability of mixed additive-quadratic Jensen type functional equation in non-Archimedean \(\ell \)-fuzzy normed spaces

  • Mohammad Ali Abolfathi
  • Ali Ebadian
  • Rasoul Aghalary
Article

DOI: 10.1007/s11565-013-0182-z

Cite this article as:
Abolfathi, M.A., Ebadian, A. & Aghalary, R. Ann Univ Ferrara (2014) 60: 307. doi:10.1007/s11565-013-0182-z
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Abstract

In this papers we prove the generalized Hyers–Ulam–Rassias stability of the following mixed additive-quadratic Jensen functional equation
$$\begin{aligned} 2f\left( \frac{x+y}{2}\right) +f\left( \frac{x-y}{2}\right) +f\left( \frac{y-x}{2}\right) =f(x)+f(y) \end{aligned}$$
in non- Archimedean \(\ell \)-fuzzy normed spaces.

Keywords

Generalized Hyers–Ulam–Rassias stabilityAdditive equationQuadratic equation\(\ell \)-fuzzy metric and normedNon-Archimedean \(\ell \)-fuzzy normed spaces

Mathematics Subject Classification (2000)

39B8239B52

Copyright information

© Università degli Studi di Ferrara 2013

Authors and Affiliations

  • Mohammad Ali Abolfathi
    • 1
  • Ali Ebadian
    • 1
  • Rasoul Aghalary
    • 1
  1. 1.Department of MathematicsUrmia UniversityUrmiaIran