International Journal of Nonlinear Analysis and Applications

General 3D-Jensen $\rho$-functional equation and ternary Hom-Jordan derivation

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Sciences, Urmia University, P. O. Box 165, Urmia, Iran

Abstract

 In this paper, we introduce the concept of ternary Hom-Jordan derivation and solve the new 3D-Jensen $\rho$-functional equations in the sense of ternary Banach algebras. Moreover, we prove its Hyers-Ulam stability using the fixed point method.

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 3
March 2025
Pages 315-322
  • Receive Date: 19 November 2022
  • Revise Date: 07 January 2023
  • Accept Date: 24 February 2023