Title : ( Fuzzy approximately cubic mappings )
Authors: Seyyed Alireza Kamel Mirmostafaee , Mohammad Sal Moslehian ,
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Abstract
We establish some stability results concerning the cubic functional equation f (2x + y)+ f(2x- y) = 2f(x + y) + 2f(x- y) + 12f(x) in fuzzy normed spaces. We discuss the fuzzy continuity of the cubic mappings and show that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed space.
Keywords
Fuzzy normed space Cubic functional equation Fuzzy Hyers–Ulam–Rassias stability Fuzzy continuity Fuzzy completeness
@article{paperid:1006575,
author = {Kamel Mirmostafaee, Seyyed Alireza and Sal Moslehian, Mohammad},
title = {Fuzzy approximately cubic mappings},
journal = {Information Sciences},
year = {2008},
volume = {178},
number = {19},
month = {June},
issn = {0020-0255},
pages = {3791--3798},
numpages = {7},
keywords = {Fuzzy normed space
Cubic functional equation
Fuzzy Hyers–Ulam–Rassias stability
Fuzzy continuity
Fuzzy completeness},
}
%0 Journal Article
%T Fuzzy approximately cubic mappings
%A Kamel Mirmostafaee, Seyyed Alireza
%A Sal Moslehian, Mohammad
%J Information Sciences
%@ 0020-0255
%D 2008
