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AGGREGATE SPECIAL FUNCTIONS TO APPROXIMATE PERMUTING TRI-HOMOMORPHISMS AND PERMUTING TRI-DERIVATIONS ASSOCIATED WITH A TRI-ADDITIVE ψ-FUNCTIONAL INEQUALITY IN BANACH ALGEBRAS
作者姓名:Safoura Rezaei ADERYANI  Azam AHADI  Reza SAADATI  Hari M.SRIVASTAVA
作者单位:1. School of Mathematics,Iran University of Science and Technology;2. Department of Mathematics and Statistics,Universtity of Victoria;3. Department of Medical Research,China Medical University Hospital,China Medical University
基金项目: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-additive ψ-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.

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