锥巴拿赫空间上(α,β)-导子的稳定性  

On the Stability of(α,β)-Derivations in Cone Banach Spaces

作　　者：刘建华 孟庆[1] Liu Jianhua;Meng Qing(School of Mathematical Sciences,Qufu Normal University,Shandong 273165,China)

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜273165

出　　处：《南开大学学报（自然科学版）》2020年第1期41-47,共7页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the China Postdoctoral Science Foundation(2018M642633);the Shandong Province Higher Educational Science and Technology Program(J18KA238);the National Natural Science Foundation of China(11871303,11701327)。

摘　　要：运用不动点法和直接法,研究了从单位环R到R-双模M的(α,β)-导子关于下列方程f((a+b)c)=f(a)α(c)+β(a)f(c)+f(b)α(c)+β(b)f(c)的Hyers-Ulam稳定性.M关于锥范数||?||_P是一个锥巴拿赫空间,其中P是实巴拿赫空间E中的一个正规锥.The Hyers-Ulam stability of(α,β)-derivations from a unital ring R to a R-bimodule which is a cone Banach space with the cone norm||?||_P,where P is a normal cone in a real Banach space E is investigated associated with the following functional equation f((a+b)c)=f(a)α(c)+β(a)f(c)+f(b)α(c)+β(b)f(c)using the fixed point method and the direct method respectively.

关 键 词：HYERS-ULAM稳定性 环 锥巴拿赫空间 (α β)-导子 

分 类 号：O177.1[理学—数学]