In this paper, we define a new class of control functions through aggregate special functions. These class of control functions help us to stabilize and approximate a tri-additive $\boldsymbol{\psi}$-functional inequality to get a better estimation for permuting tri-homomorphisms and permuting tri-derivations in unital $C^*$-algebras and Banach algebras by the vector-valued alternative fixed point theorem.
Safoura Rezaei Aderyani
,
Azam Ahadi
,
Reza Saadati
,
Hari M. Srivastava
. AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVE -FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS*[J]. Acta mathematica scientia, Series B, 2024
, 44(1)
: 311
-338
.
DOI: 10.1007/s10473-024-0117-z
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