Hom-derivations in C^*-ternary Algebras  

作　　者：Yuan Feng JIN Choonkil PARK Michael ThRASSIAS 

机构地区：[1]Department of Mathematics,Yanbian University,Yanji 133001,P.R.China [2]Research Institute for Natural Sciences,Hanyang University,Seoul 04763,Republic of Korea [3]Institute of Mathematics,University of Zurich,CH-8057,Zurich,Switzerland

出　　处：《Acta Mathematica Sinica,English Series》2020年第9期1025-1038,共14页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11761074);supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education,Science and Technology(Grant No.NRF-2017R1D1A1B04032937);The author is grateful to anonyme reviewers for their valuable com ments and suggestions.

摘　　要：In this paper,we introduce and solve the following additive(ρ1,ρ2)-functional inequalities‖f(x+y+z)-f(x)-f(y)-f(z)‖≤‖ρ1(f(x+z)-f(x)-f(z))‖+‖ρ2(f(y+z)-f(y)-f(z))‖,whereρ1 andρ2 are fixed nonzero complex numbers with|ρ1|+|ρ2|<2.Using the fixed point method and the direct method,we prove the Hyers–Ulam stability of the above additive(ρ1,ρ2)-functional inequality in complex Banach spaces.Furthermore,we prove the Hyers–Ulam stability of hom-derivations in C^*-ternary algebras.

关 键 词：Hyers–Ulam stability additive (ρ1 ρ2)-functional INEQUALITY fixed point METHOD direct METHOD hom-derivation on C^*-ternary algebra 

分 类 号：O153[理学—数学]