The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation

Authors

MEHDI DEHGHANIAN
YAMIN SAYYARI

DOI

10.55730/1300-0098.3462

Abstract

Using the Brzdek fixed point theorem, we establish the Hyers?Ulam stability problem of Drygas functional equations \begin{equation} \delta(x+y-z)+\delta(x-y)+\delta(-y-z)+\delta(y)=\delta(x-y-z)+\delta(y-z)+\delta(x+y)+\delta(-y)\nonumber \end{equation} for all $x,y,z\in A$.

Keywords

Brzdek fixed point theorem, Drygas functional equation, stability

First Page

1778

Last Page

1790

Recommended Citation

DEHGHANIAN, MEHDI and SAYYARI, YAMIN (2023) "The application of Brzdek's fixed point theorem in the stability problem of the Drygas functional equation," Turkish Journal of Mathematics: Vol. 47: No. 6, Article 12. https://doi.org/10.55730/1300-0098.3462
Available at: https://journals.tubitak.gov.tr/math/vol47/iss6/12