International Journal of Nonlinear Analysis and Applications

Ulam-Hyers-Rassias-stability of a Cauchy-Jensen additive mapping In fuzzy Banach spaces

Articles in Press

Document Type : Research Paper

Author

Department of Mathematics, College of Sciences, Yasouj University, Yasouj 75914-353, Iran

10.22075/ijnaa.2024.34404.5139

Abstract

In this paper, We prove the Ulam-Hyers-Rassias stability of (m, n)−Cauchy-Jensen additive functional equation fuzzy Banach spaces. The concept of Ulam-Hyers-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.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 11 March 2025
  • Receive Date: 10 June 2024
  • Revise Date: 22 June 2024
  • Accept Date: 11 July 2024