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Zbl 1198.39035
Mursaleen, M.; Mohiuddine, S.A.
On stability of a cubic functional equation in intuitionistic fuzzy normed spaces. (English)
[J] Chaos Solitons Fractals 42, No. 5, 2997-3005 (2009). ISSN 0960-0779

Summary: We determine some stability results concerning the cubic functional equation $$f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)$$ in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the cubic mappings and prove that the existence of a solution for any approximately cubic mapping implies the completeness of IFNS. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC 2000:: *39B52 Functional equations for functions with more general domains
39B82 Stability, separation, extension, and related topics
46S40 Fuzzy functional analysis

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Zentralblatt MATH Berlin [Germany]