A fixed point approach to the stability of additive-quadratic-quartic functional equations

Bodaghi, Abasalt; Rassias, Th.M.; Zivari-Kazempour, Abbas

doi:10.22075/ijnaa.2019.17071.1905

A fixed point approach to the stability of additive-quadratic-quartic functional equations

Document Type : Research Paper

Authors

Abasalt Bodaghi ¹
Th.M. Rassias ²
Abbas Zivari-Kazempour ³

¹ Islamic Azad University

² Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece

³ Ayatollah Borujerdi University

10.22075/ijnaa.2019.17071.1905

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