Title of article :
STABILITY OF THE QUADRATIC FUNCTIONAL EQUATION IN NON-ARCHIMEDEAN L-FUZZY NORMED SPACES
Author/Authors :
SHAKERI, SALEH Department of Mathematics - Islamic Azad University-Aiatollah Amoli Branch, Amol , SAADATI, REZA Department of Mathematics - Islamic Azad University-Aiatollah Amoli Branch, Amol , PARK, CHOONKIL Department of Mathematics - Research Institute for Natural Sciences - Hanyang University - Seoul, Korea
Abstract :
In this paper, we prove the generalized Hyers-Ulam stability of the
quadratic functional equation
f(x + y) + f(x − y) = 2f(x) + 2f(y)
in non-Archimedean L-fuzzy normed spaces.
Keywords :
L-fuzzy metric and normed spaces , intuitionistic fuzzy metric and normed spaces , generalized Hyers-Ulam stability , quadratic functional equation , non-Archimedean L-fuzzy normed space
Journal title :
Astroparticle Physics