AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVEψ-FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS  

作　　者：Safoura Rezaei ADERYANI Azam AHADI Reza SAADATI Hari M.SRIVASTAVA 

机构地区：[1]School of Mathematics,Iran University of Science and Technology,Narmak,Tehran,Iran [2]Department of Mathematics and Statistics,Universtity of Victoria,Victoria,Canada [3]Department of Medical Research,China Medical University Hospital,China Medical University,Taichung,40402,China [4]Department of Mathematics and Informatics,Azerbaijan University,71 Jeyhun Hajibeyli Street,AZ1007,Baku,Azerbaijan [5]Section of Mathematics,International Telematic,University Uninettuno,I-00186,Rome,Italy

出　　处：《Acta Mathematica Scientia》2024年第1期311-338,共28页数学物理学报（B辑英文版）

基　　金：partially supported by the Natural Sciences and Engineering Research Council of Canada(2019-03907)。

摘　　要：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-additiveψ-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.

关 键 词：permuting tri-homomorphism in Banach algebra permuting tri-derivation on C*-algebra fixed point theorem Ulam-Hyers-Rassias stability aggregate special functions tri-additiveψ-functional inequality 

分 类 号：O15[理学—数学]