Journal of Frame and Matrix Theory

Journal of Frame and Matrix Theory

Fuzzy HUR-stability of an GCJ functional equation: A fixed point alternative approach

Document Type : Original Article

Author
Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran.
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. 72 (1978), 297-300.
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Volume 2, Issue 2
September 2025
Pages 44-55

  • Receive Date 21 April 2025
  • Revise Date 11 May 2025
  • Accept Date 17 July 2025