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The Stability of a General Sextic Functional Equation by Fixed Point Theory
This version is not peer-reviewed.
Submitted:
20 January 2020
Posted:
21 January 2020
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Abstract
In this paper, we consider the generalized sextic functional equation \begin{align*} \sum_{i=0}^{7}{}_7 C_{i} (-1)^{7-i}f(x+iy) = 0. \end{align*} And by applying the fixed point theory in the sense of L. C\u adariu and V. Radu, we will discuss the stability of the solutions for this functional equation.
Keywords:
sextic mapping
; general sextic functional equation
; fixed point theory method
; generalized Hyers-Ulam stability
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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