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Research articles

ScienceAsia 47 (2021):ID 766-772 |doi: 10.2306/scienceasia1513-1874.2021.085


Characterization of a group-norm by maximum functional equation and stability results


Muhammad Sarfraza, Fawad Alib, Qi Liua, Yongjin Lia,*

 
ABSTRACT:     Let (G, k  k,+) be a normed group, where k  k: G !R. We study the equation maxf kx + yk, kx

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a School of Mathematics, Sun Yat-sen University, Guangzhou 510275 China
b School of Mathematics and Statistics, Xian Jiaotong University, Xi?an 710049 China

* Corresponding author, E-mail: stslyj@mail.sysu.edu.cn

Received 3 May 2021, Accepted 24 Jun 2021