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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.-H.; Jung, S.-M.; Roh, J. The Stability of a General Sextic Functional Equation by Fixed Point Theory. Preprints 2020, 2020010232. https://doi.org/10.20944/preprints202001.0232.v1 Lee, Y.-H.; Jung, S.-M.; Roh, J. The Stability of a General Sextic Functional Equation by Fixed Point Theory. Preprints 2020, 2020010232. https://doi.org/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.
Keywords
sextic mapping; general sextic functional equation; fixed point theory method; generalized Hyers-Ulam stability
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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