Fixed points and approximately heptic mappings in non-Archimedean normed spaces

  • Park, Choonkil
  • Ghaemi, Mohammad Bagher
  • Majani, Hamid
  • Gordji, Madjid Eshaghi
  • Najati, Abbas
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초록

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.

키워드

heptic functional equationHyers-Ulam stabilityfixed point methodQUADRATIC FUNCTIONAL-EQUATIONSTABILITYALGEBRAS
제목
Fixed points and approximately heptic mappings in non-Archimedean normed spaces
저자
Park, ChoonkilGhaemi, Mohammad BagherMajani, HamidGordji, Madjid EshaghiNajati, Abbas
DOI
10.1186/1687-1847-2013-209
발행일
2013-07
유형
Article
저널명
Advances in Difference Equations
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