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Fixed points and approximately heptic mappings in non-Archimedean normed spacesopen access

Authors
Park, ChoonkilGhaemi, Mohammad BagherMajani, HamidGordji, Madjid EshaghiNajati, Abbas
Issue Date
Jul-2013
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Keywords
heptic functional equation; Hyers-Ulam stability; fixed point method
Citation
ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 10
Indexed
SCIE
SCOPUS
Journal Title
ADVANCES IN DIFFERENCE EQUATIONS
Start Page
1
End Page
10
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/162371
DOI
10.1186/1687-1847-2013-209
ISSN
1687-1839
Abstract
Using the fixed point method, we investigate the stability of the system of additive, quadratic and quartic functional equations with constant coefficients in non-Archimedean normed spaces. Also, we give an example to show that some results in the stability of functional equations in (Archimedean) normed spaces are not valid in non-Archimedean normed spaces.
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