Stability of an ACQ-functional equation in various matrix normed spaces
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Authors
Zhihua Wang
- School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P. R. China.
Prasanna K. Sahoo
- Department of Mathematics, University of Louisville, Louisville, KY 40292, USA.
Abstract
Using the direct method and the fixed point method, we prove the Hyers-Ulam stability of the following
additive-cubic-quartic (ACQ ) functional equation
\[11[f(x + 2y) + f(x - 2y)]
= 44[f(x + y) + f(x - y)] + 12f(3y) - 48f(2y) + 60f(y) - 66f(x)\]
in matrix Banach spaces. Furthermore, using the fixed point method, we also prove the Hyers-Ulam stability
of the above functional equation in matrix fuzzy normed spaces.
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ISRP Style
Zhihua Wang, Prasanna K. Sahoo, Stability of an ACQ-functional equation in various matrix normed spaces, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 1, 64--85
AMA Style
Wang Zhihua, Sahoo Prasanna K., Stability of an ACQ-functional equation in various matrix normed spaces. J. Nonlinear Sci. Appl. (2015); 8(1):64--85
Chicago/Turabian Style
Wang, Zhihua, Sahoo, Prasanna K.. "Stability of an ACQ-functional equation in various matrix normed spaces." Journal of Nonlinear Sciences and Applications, 8, no. 1 (2015): 64--85
Keywords
- Fixed point method
- Hyers-Ulam stability
- matrix Banach space
- matrix fuzzy normed space
- additive-cubic-quartic functional equation.
MSC
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