期刊论文详细信息
Facta Universitatis. Series Mathematics and Informatics | |
HYERS-ULAM STABILITY FOR A SPECIAL CLASS OF FUNCTIONAL EQUATIONS | |
Ahmed Charifi1  Muaad Almahalebi1  Radosław Łukasik2  | |
[1] Ibn Tofail University;University of Silesia ul. Bankowa | |
关键词: Hyers-Ulam stability; Archimedean; ultarmetric; functional equation; | |
DOI : 10.22190/FUMI1705715C | |
学科分类:社会科学、人文和艺术(综合) | |
来源: Univerzitet u Nishu / University of Nis | |
【 摘 要 】
In this paper, we investigate the stability in the sense of Hyers-Ulam for a class of the following type functional equations:$$\sum_{\lambda \in \Phi}{f(x+\lambda y+a_{\lambda})}=Nf(x)+h(y),\ x,y\in S$$where $\mathbb{K}$ is a complete valued field of characteristic zero, $F$ is a complete normed space (Archimedean or ultrametric) over $\mathbb{K}$, $(S,+)$ is an abelian monoid, $f,h\colon S\to F$, $\Phi$ is a finite automorphism group of $S$, $N$ is the cardinality of $\Phi$ and $a_{\lambda}\in S$, $\lambda \in \Phi$.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201902012911638ZK.pdf | 160KB | download |