an:06239275
Zbl 1280.39019
Park, Choonkil; Gordji, Madjid Eshaghi; Ghaemi, Mohammad Bagher; Majani, Hamid
Fixed points and approximately octic mappings in non-Archimedean 2-normed spaces
EN
J. Inequal. Appl. 2012, Paper No. 289, 12 p. (2012).
00323805
2012
j
39B82 39B72 46S10 39B52
octic functional equation; Hyers-Ulam stability; non-Archimedean 2-normed space; fixed point method; system of additive-cubic-quartic functional equations
Summary: Using the fixed point method, we investigate the Hyers-Ulam stability of a 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.