On a New Approach for Stability and Controllability Analysis of Functional Equations

We consider a new approach to approximate stability analysis for tri-additive functional inequality and obtain the optimal approximation permuting tri-derivations tri-homomorphisms in unital matrix algebras via vector-valued alternative fixed-point theorem, which is popular technique of proving equations. also present small list aggregation functions on classical, well-known special investigate best error estimates using different concept perturbation stability.