Preprint Article Version 1 This version is not peer-reviewed

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

Version 1 : Received: 20 January 2020 / Approved: 21 January 2020 / Online: 21 January 2020 (06:41:11 CET)

How to cite: Lee, Y.; Jung, S.; Roh, J. The Stability of a General Sextic Functional Equation by Fixed Point Theory. Preprints 2020, 2020010232 (doi: 10.20944/preprints202001.0232.v1). Lee, Y.; Jung, S.; Roh, J. The Stability of a General Sextic Functional Equation by Fixed Point Theory. Preprints 2020, 2020010232 (doi: 10.20944/preprints202001.0232.v1).

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.

Subject Areas

sextic mapping; general sextic functional equation; fixed point theory method; generalized Hyers-Ulam stability

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