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Zbl 1232.46068
Eshaghi Gordji, M.; Khodaei, H.; Kamyar, M.
Stability of Cauchy-Jensen type functional equation in generalized fuzzy normed spaces.
(English)
[J] Comput. Math. Appl. 62, No. 8, 2950-2960 (2011). ISSN 0898-1221

Summary: We establish some stability results concerning the Cauchy-Jensen functional equation in generalized fuzzy normed spaces. The results of the present paper improve and extend some recent results.
MSC 2000:
*39B82 Stability, separation, extension, and related topics
39B52 Functional equations for functions with more general domains
46S40 Fuzzy functional analysis
46S10 Functional analysis over fields (not R, C, or quaternions)

Keywords: generalized fuzzy normed space; fuzzy $\varphi$-normed space; non-archimedean fuzzy $\varphi$-normed space; Cauchy-Jensen equation; stability

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