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 Safoura Rezaei ADERYANI;Azam AHADI;Reza SAADATI;Hari M.SRIVASTAVA

作者机构：School of MathematicsIran University of Science and TechnologyNarmakTehranIran Department of Mathematics and StatisticsUniverstity of VictoriaVictoriaCanada Department of Medical ResearchChina Medical University HospitalChina Medical UniversityTaichung40402China Department of Mathematics and InformaticsAzerbaijan University71 Jeyhun Hajibeyli StreetAZ1007BakuAzerbaijan Section of MathematicsInternational TelematicUniversity UninettunoI-00186RomeItaly 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2024年第44卷第1期

页      面：311-338页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

主　　题：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 

摘      要：In this paper,we define a new class of control functions through aggregate special *** 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.