摘要: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. MSC:39B82, 46S10, 47H10.
关键词:heptic functional equation ; Hyers-Ulam stability ; fixed point method