Article

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 AbolfathiAffiliated withDepartment of Mathematics, Urmia University Email author 
  • , Ali EbadianAffiliated withDepartment of Mathematics, Urmia University
  • , Rasoul AghalaryAffiliated withDepartment of Mathematics, Urmia University

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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 stability Additive equation Quadratic equation \(\ell \)-fuzzy metric and normed Non-Archimedean \(\ell \)-fuzzy normed spaces

Mathematics Subject Classification (2000)

39B82 39B52