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International Journal of Nonlinear Analysis and Applications
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Khodaei, H., Kamyar, M. (2010). Fuzzy approximately additive mappings. International Journal of Nonlinear Analysis and Applications, 1(2), 44-53. doi: 10.22075/ijnaa.2010.74
H. Khodaei; M. Kamyar. "Fuzzy approximately additive mappings". International Journal of Nonlinear Analysis and Applications, 1, 2, 2010, 44-53. doi: 10.22075/ijnaa.2010.74
Khodaei, H., Kamyar, M. (2010). 'Fuzzy approximately additive mappings', International Journal of Nonlinear Analysis and Applications, 1(2), pp. 44-53. doi: 10.22075/ijnaa.2010.74
Khodaei, H., Kamyar, M. Fuzzy approximately additive mappings. International Journal of Nonlinear Analysis and Applications, 2010; 1(2): 44-53. doi: 10.22075/ijnaa.2010.74

Fuzzy approximately additive mappings

Article 6, Volume 1, Issue 2, Winter and Spring 2010, Page 44-53  XML PDF (208 K)
DOI: 10.22075/ijnaa.2010.74
Authors
H. Khodaei* ; M. Kamyar
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
Fuzzy stability; Additive functional equation; Fuzzy normed space
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