Fuzzy HUR-stability of an GCJ functional equation: A fixed point alternative approach
Publish place: Journal of Frame and Matrix Theory، Vol: 2، Issue: 2
Publish Year: 1404
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JFMT-2-2_005
تاریخ نمایه سازی: 19 آبان 1404
Abstract:
Using the fixed point method, we prove the generalized Hyers-Ulam(or Hyers-Ulam-Rassias) stability of the generalized Cauchy-Jensen functional equation in fuzzy Banach spaces. The concept of Hyers-Ulam-Rassias stability originated from Th. M. Rassias’ stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. ۷۲ (۱۹۷۸), ۲۹۷-۳۰۰.
Keywords:
Hyers-Ulam-Rassias stability , Fuzzy Banach space , Generalized Cauchy-Jensen functional equation , Fixed point method
Authors
Hassan Azadi Kenary
Department of Mathematics, College of Sciences, Yasouj University, Yasouj ۷۵۹۱۴-۳۵۳, Iran.
