کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
390399 661251 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fuzzy stability of the Jensen functional equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Fuzzy stability of the Jensen functional equation
چکیده انگلیسی

We establish a generalized Hyers–Ulam–Rassias stability theorem in the fuzzy sense. In particular, we introduce the notion of fuzzy approximate Jensen mapping and prove that if a fuzzy approximate Jensen mapping is continuous at a point, then we can approximate it by an everywhere continuous Jensen mapping. As a fuzzy version of a theorem of Schwaiger, we also show that if every fuzzy approximate Jensen type mapping from the natural numbers into a fuzzy normed space can be approximated by an additive mapping, then the fuzzy norm is complete.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 159, Issue 6, 16 March 2008, Pages 730-738