Fuzzy approximately additive mappings

Authors

Department of Mathematics, Semnan University P. O. Box 35195-363, Semnan, Iran.

Abstract

Moslehian  and Mirmostafaee, investigated the fuzzy
stability problems
for the Cauchy additive functional equation, the Jensen additive
functional equation and the cubic functional equation in fuzzy
Banach spaces.
In this paper, we investigate the
generalized Hyers–-Ulam--Rassias stability of the generalized
additive functional equation with $n$--variables, in fuzzy Banach
spaces. Also, we will show that there exists a close relationship
between the fuzzy continuity behavior of a fuzzy almost additive
function, control function and the unique additive function which
approximate the almost additive function.

Keywords