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

Muhammad Sarfraz^a, Fawad Ali^b, Qi Liu^a, Yongjin Li^a,*

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