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Approximate fuzzy double derivations and fuzzy Lie *-double derivations

Authors
Ebadian, AliAbolfathi, Mohammad AliPark, ChoonkilShin, Dong Yun
Issue Date
Oct-2015
Publisher
Kluwer Academic Publishers
Keywords
*-double derivation; Double derivation; Fixed point method; Fuzzy banach *-algebra; Hyers-Ulam stability; Induced fuzzy lie C*-algebra
Citation
Journal of Computational Analysis and Applications, v.19, no.4, pp 678 - 692
Pages
15
Indexed
SCIE
SCOPUS
Journal Title
Journal of Computational Analysis and Applications
Volume
19
Number
4
Start Page
678
End Page
692
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/143116
ISSN
1521-1398
1572-9206
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of fuzzy double derivations and fuzzy Lie *-double derivations on fuzzy Banach algebras, fuzzy C*-algebras and fuzzy Lie C*-algebras associated with the following additive functional equation of n-Apollonius type Sigma(n)(i=1) f(z - x(i)) = -1/n Sigma(1 <= i < j <= n) f(x(i) + x(j)) + nf(z - 1/n(2) Sigma(n)(i=1)x(i)) for a fixed integer n with n >= 2.
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