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Local stability of mappings on multi-normed spaces

Title
Local stability of mappings on multi-normed spaces
Author
박춘길
Keywords
Multi-normed space; Hyers–Ulam stability; Cauchy functional equation
Issue Date
2020-08
Publisher
SPRINGEROPEN
Citation
ADVANCES IN DIFFERENCE EQUATIONS, v. 2020, no. 1, article no. 395
Abstract
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.
URI
https://advancesindifferenceequations.springeropen.com/articles/10.1186/s13662-020-02858-9https://repository.hanyang.ac.kr/handle/20.500.11754/170208
ISSN
1687-1847
DOI
10.1186/s13662-020-02858-9
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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