Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings
Publish place: Iranian Journal of Fuzzy Systems، Vol: 19، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJFS-19-1_012
تاریخ نمایه سازی: 28 آذر 1400
Abstract:
We investigate the stability problems of the n-dimensional Cauchy-Jensen type and the n-dimensional Pexiderized Cauchy-Jensen type fuzzy number-valued functional equations in Banach spaces by using the metric defined on a fuzzy number space.Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed. Our results can be regarded as important extensions of stability results corresponding to single-valued functional equations and set-valued functional equations, respectively.
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Authors
M. Miahi
Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran
F. Mirzaee
Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran
H. Khodaei
Faculty of Mathematical Sciences and Statistics, Malayer University, P.O. Box ۶۵۷۱۹-۹۵۸۶۳, Malayer, Iran