Geodesic
Stability of derivations in fuzzy normed algebras
Cho, Yeol Je1 ; Park, Choonkill2 ; Yang, Young-Oh3
1 Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea
2 Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea
3 Department of Mathematics, Jeju National University, Jeju 690-756, Korea
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 1, p. 1-7.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we find a fuzzy approximation of derivation for an m-variable additive functional equation. In fact, using the fixed point method, we prove the Hyers-Ulam stability of derivations on fuzzy Lie $C^*$-algebras for the the following additive functional equation
$\Sigma^m _{i=1} f ( mx_i + \Sigma^m _{j=1, j\neq i} x_j ) + f (\Sigma^m _{i=1} x_i ) = 2f (\Sigma^m_{ i=1} mx_i )$
for a given integer m with $m \geq 2$.
DOI : 10.22436/jnsa.008.01.01
Classification : 47H10, 54H25
Keywords: Fuzzy normed space, additive functional equation, fixed point, derivation, \(C^*\)-algebra, Lie \(C^*\)-algebra, Hyers-Ulam stability.

Cho, Yeol Je 1 ; Park, Choonkill 2 ; Yang, Young-Oh 3

1 Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Korea
2 Research Institute for Natural Sciences, Hanyang University, Seoul 133-791, Korea
3 Department of Mathematics, Jeju National University, Jeju 690-756, Korea 
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Cho, Yeol Je; Park, Choonkill; Yang, Young-Oh. Stability of derivations in fuzzy normed algebras. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 1, p. 1-7. doi : 10.22436/jnsa.008.01.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.01.01/

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