DOI: 10.1155/ijmm/3971202 ISSN: 0161-1712

Solutions and Stability of Triple Homoderivations Associated With Mixed 3D‐Jensen and Additive Functional Equations

Iman Bahreini, Javad Izadi
Show PDF Cite

In this paper, we introduce a new concept called mixed 3D‐Jensen and additive functional equations . In the following, we demonstrate that they are additive mappings and we show that they can be ‐linear. After that, we define triple homoderivations under the above condition on triple Banach algebras (TBAs). Finally, we using the valuable method of fixed point (FP) approach to delve into stabilities of Hyers–Ulam (HU) and superstability of the mixed 3D‐Jensen and additive and triple homo‐derivations on TBAs.

More from our Archive