Geodesic
Hyers-Ulam stability of derivations in fuzzy Banach space
Lu, Gang1 ; Xie, Jun2 ; Liu, Qi2 ; Jin, Yuanfeng3
1 Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China;Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, P. R. China
2 Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, P. R. China
3 Department of Mathematics, Yanbian University, Yanji 133001, P. R. China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 12, p. 5970-5979.

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

In this paper, we construct an additive functional equation, and use the fixed point alternative theorem to investigate the Hyers-Ulam stability of derivations fuzzy Banach space and fuzzy Lie Banach space associated with the following functional equation:$ f (2x - y - z)+f (x - z)+f (x + y + 2z) = f (4x)$.
DOI : 10.22436/jnsa.009.12.05
Classification : 39B82, 46S40, 39B52, 46L57
Keywords: Fuzzy normed space, additive functional equation, Hyers-Ulam stability, fixed point alternative, fuzzy Banach space.

Lu, Gang 1 ; Xie, Jun 2 ; Liu, Qi 2 ; Jin, Yuanfeng 3

1 Department of Mathematics, Zhejiang University, Hangzhou 310027, P. R. China;Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, P. R. China
2 Department of Mathematics, School of Science, Shenyang University of Technology, Shenyang 110178, P. R. China
3 Department of Mathematics, Yanbian University, Yanji 133001, P. R. China 
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Lu, Gang; Xie, Jun; Liu, Qi; Jin, Yuanfeng. Hyers-Ulam stability of derivations in fuzzy Banach space. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 12, p. 5970-5979. doi : 10.22436/jnsa.009.12.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.12.05/

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