The Stability of a General Sextic Functional Equation by Fixed Point Theory

Abstract

In this paper, we will consider the generalized sextic functional equation ${\sum }_{i=0}^7{}_7{C}_i{\left(-1\right)}^{7-i}f\left(x+iy\right)=0.$ And by applying the fixed point theorem in the sense of C $\breve{\text{a}}$ dariu and Radu, we will discuss the stability of the solutions for this functional equation.