文章基本信息

标题：Local stability of mappings on multi-normed spaces
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作者：Choonkil Park ; Batool Noori ; M. B. Moghimi 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-14
DOI：10.1186/s13662-020-02858-9
出版社：Hindawi Publishing Corporation
摘要：First we investigate the Hyers–Ulam stability of the Cauchy functional equation for mappings from bounded (unbounded) intervals into Banach spaces. Then we study the Hyers–Ulam stability of the functional equation $f(xy)=xg(y)+h(x)y$ for mappings from bounded (unbounded) intervals into multi-normed spaces.
关键词：Multi-normed space;Hyers–Ulam stability;Cauchy functional equation;