Author/Authors :
Bodaghi, Abasalt Department of Mathematics - Garmsar Branch, Islamic Azad University, Garmsar, Iran , Rassias, Themistocles Michael Department of Mathematics - National Technical University of Athens - Zografou Campus, Athens, Greece , Zivari-Kazempour, Abbas Department of Mathematics - Ayatollah Borujerdi University, Borujerd, Iran
Abstract :
In this article, we introduce a class of the generalized mixed additive, quadratic and quartic functional equations and obtain their common solutions. We also investigate the stability of such modified functional equations in the non-Archimedean normed spaces by a fixed point method.
Keywords :
additive-quadratic-quartic functional equation , Hyers-Ulam stability , non-Archimedean normed space