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

نویسندگان
Ebadian, Ali ID 1
Abdollahnajad, Sajad ID 2
Shokri, Javad ID 3
Abolfathi, Mohammad Ali ID 4

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

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

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

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

doi
10.22075/ijnaa.2023.31374.2246
چکیده

 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.

کلیدواژه‌ها
Ternary Hom-Jordan Derivation, 3D-Jensen ρ-functional equations, Fixed point method