Title : ( Perturbation of generalized derivations in fuzzy Menger normed algebras )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
Full TextAbstract
In this paper we introduce a notion for fuzzy Menger normed algebra. Then we will investigate continuity of algebraic operations in this space. We will show that the class of all fuzzy Menger normed algebras strictly contains the class of normed algebras. Finally, we will prove Hyers-Ulam-Rassias superstability of generalized derivation functional equation f(ax + by + vw) = af(x) + bf(y) + vf(w) + g(v)w quad(x, y, v,w in X; 0 neq a, b in mathbb{C}) in complete fuzzy Menger normed algebras. A few applications of our results will be exhibited.
Keywords
, Fuzzy Menger normed algebra, Hyers-Ulam-Rassias stability, derivation
@article{paperid:1024007,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {Perturbation of generalized derivations in fuzzy Menger normed algebras},
journal = {Fuzzy Sets and Systems},
year = {2012},
volume = {195},
number = {1},
month = {March},
issn = {0165-0114},
pages = {109--117},
numpages = {8},
keywords = {Fuzzy Menger normed algebra; Hyers-Ulam-Rassias stability; derivation},
}
%0 Journal Article
%T Perturbation of generalized derivations in fuzzy Menger normed algebras
%A Kamel Mirmostafaee, Seyyed Alireza
%J Fuzzy Sets and Systems
%@ 0165-0114
%D 2012
