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Fixed points and approximately octic mappings in non-Archimedean 2-normed spacesopen access

Authors
Park, ChoonkilGordji, Madjid EshaghiGhaemi, Mohammad BagherMajani, Hamid
Issue Date
Dec-2012
Publisher
SPRINGEROPEN
Keywords
octic functional equation; Hyers-Ulam stability; non-Archimedean 2-normed space; fixed point method
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS, pp.1 - 12
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INEQUALITIES AND APPLICATIONS
Start Page
1
End Page
12
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/164026
DOI
10.1186/1029-242X-2012-289
ISSN
1025-5834
Abstract
Using the fixed point method, we investigate the Hyers-Ulam stability of the system of additive-cubic-quartic functional equations with constant coefficients in non-Archimedean 2-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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