L*-fuzzy metric and normed space; Hyers-Ulam stability; quadratic functional equation; non-Archimedean L*-fuzzy normed space
Issue Date
2020-04
Publisher
IOS PRESS
Citation
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v. 38, no. 4, page. 4265-4272
Abstract
We establish some stability results concerning the 2-dimensional vector variable quadratic functional equation
f(x + y, z + w) + f(x - y, z - w) = 2f(x, z) + 2f(y, w)
in non-Archimedean L*-fuzzy normed spaces.