Abstract
In this paper, we will consider the generalized sextic functional equation∑i=07 7Ci−17−ifx+iy=0.And by applying the fixed point theorem in the sense of Ca˘dariu and Radu, we will discuss the stability of the solutions for this functional equation.
Highlights
In 1940, Ulam [1] remarked the problem concerning the stability of group homomorphisms
Many mathematicians [11,12,13,14,15,16,17] have previously investigated the stability of the sextic functional equation, and many authors [18,19,20,21,22,23,24,25,26] have studied the stability of the n-monomial functional equation in various spaces
We see that if F is a solution of the sextic functional equation (4) with Fð0Þ = 0, we can derive that F is a fixed point of J from the equality
Summary
In 1940, Ulam [1] remarked the problem concerning the stability of group homomorphisms. Is a particular solution of the functional equation (1). The solution of the functional equation n
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