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Zbl 1178.46075
Mirmostafaee, Alireza Kamel; Moslehian, Mohammad Sal
Fuzzy versions of Hyers-Ulam-Rassias theorem. (English)
[J] Fuzzy Sets Syst. 159, No. 6, 720-729 (2008). ISSN 0165-0114

Summary: We introduce three reasonable versions of fuzzy approximately additive functions in fuzzy normed spaces. More precisely, we show under some suitable conditions that an approximately additive function can be approximated by an additive mapping in a fuzzy sense.
MSC 2000:
*46S40 Fuzzy functional analysis
39B52 Functional equations for functions with more general domains
39B82 Stability, separation, extension, and related topics
26E50 Fuzzy real analysis
46S50 Functional analysis in probabilistic metric spaces

Keywords: fuzzy normed space; additive function; Hyers-Ulam-Rassias stability

Cited in: Zbl 1221.39037 Zbl 1206.46065 Zbl 1192.39021 Zbl 1182.39023

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