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Stability of Jensen functional equation in intuitionistic fuzzy normed space. (English) Zbl 1198.39034

Summary: We determine some stability results concerning the Jensen functional equation \(2f((x+y)/2)=f(x)+f(y)\) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the Jensen mappings and prove that the existence of a solution for any approximately Jensen mapping implies the completeness of IFNS.
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:

39B52 Functional equations for functions with more general domains and/or ranges
39B82 Stability, separation, extension, and related topics for functional equations
46S40 Fuzzy functional analysis
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