1. On a New Approach for Stability and Controllability Analysis of Functional Equations.
- Author
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Aderyani, Safoura Rezaei, Saadati, Reza, O'Regan, Donal, and Li, Chenkuan
- Subjects
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FUNCTIONAL analysis , *MATRICES (Mathematics) , *APPROXIMATION error , *SPECIAL functions , *QUADRATIC equations , *FUNCTIONAL equations , *CONTROLLABILITY in systems engineering , *EXPONENTIAL stability - Abstract
We consider a new approach to approximate stability analysis for a tri-additive functional inequality and to obtain the optimal approximation for permuting tri-derivations and tri-homomorphisms in unital matrix algebras via the vector-valued alternative fixed-point theorem, which is a popular technique of proving the stability of functional equations. We also present a small list of aggregation functions on the classical, well-known special functions to investigate the best approximation error estimates using a different concept of perturbation stability. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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