An additive-cubic functional equation in a Banach space
Volume 33, Issue 3, pp 264--274
https://dx.doi.org/10.22436/jmcs.033.03.05
Publication Date: January 14, 2024
Submission Date: November 23, 2023
Revision Date: December 04, 2023
Accteptance Date: December 06, 2023
Authors
S. Paokanta
- School of Science, University of Phayao, Phayao, 56000, Thailand.
C. Park
- Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Korea.
N. Jun-on
- Faculty of Sciences, Lampang Rajabhat University, Lampang, 52100, Thailand.
R. Suparatulatorn
- Office of Research Administration, Chiang Mai University, Chiang Mai 50200, Thailand.
- Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand.
Abstract
In this article, we consider the following functional equation:
\begin{align}
2h(x+y, z+w) + 2h(x-y, z-w) + 12h(x, z) = h(x+y, 2z+w) + h(x-y, 2z-w).
\end{align}
Using the direct and fixed-point methods, we obtain the Hyers-Ulam stability of the proposed functional equation.
Share and Cite
ISRP Style
S. Paokanta, C. Park, N. Jun-on, R. Suparatulatorn, An additive-cubic functional equation in a Banach space, Journal of Mathematics and Computer Science, 33 (2024), no. 3, 264--274
AMA Style
Paokanta S., Park C., Jun-on N., Suparatulatorn R., An additive-cubic functional equation in a Banach space. J Math Comput SCI-JM. (2024); 33(3):264--274
Chicago/Turabian Style
Paokanta, S., Park, C., Jun-on, N., Suparatulatorn, R.. "An additive-cubic functional equation in a Banach space." Journal of Mathematics and Computer Science, 33, no. 3 (2024): 264--274
Keywords
- Hyers-Ulam stability
- additive-cubic functional equation
- direct method
- fixed point method
MSC
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