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Local stability of mappings on multi-normed spacesopen access
- Authors
- Park, Choonkil; Noori, Batool; Moghimi, Mohammad Bagher; Najati, Abbas; Rassias, John Michael
- Issue Date
- Aug-2020
- Publisher
- SPRINGER
- Keywords
- Multi-normed space; Hyers-Ulam stability; Cauchy functional equation
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, v.2020, no.1, pp.1 - 14
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Volume
- 2020
- Number
- 1
- Start Page
- 1
- End Page
- 14
- ISSN
- 1687-1839
- 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.
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Related Researcher
- Park, Choonkil
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)