Stability of orthogonally quintic functional equation on C*-algebras with the type fixed point alternative

نویسندگان
Ansari, Najmeh ID 1
Hooshmand, Mohammad Hadi ID 2
Eshaghi Gordji, Madjid ID 3
Jahedi, Khadijeh ID 4

1 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

2 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

3 Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

4 Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

doi
10.22075/ijnaa.2022.27663.3678
چکیده

Using fixed point methods, we prove the stability of orthogonally quintic functional equation on C ∗ -algebras for the functional equation$$Df(x, y) = f(3x + y) − 5f(2x + y) + f(2x − y) + 10f(x + y) − 5f(x − y) − 10f(y) − f(3x) + 3f(2x) + 27f(x).$$

کلیدواژه‌ها
Fixed point, Hyers-Ulam stability, C*-algebras, quintic functional equation