Geodesic
Stability of an ACQ-functional equation in various matrix normed spaces
Wang, Zhihua1 ; Sahoo, Prasanna K.2
1 School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P. R. China
2 Department of Mathematics, University of Louisville, Louisville, KY 40292, USA
Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 1, p. 64-85.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.008.01.08
Classification : 47L25, 39B82, 39B72, 46L07
Keywords: Fixed point method, Hyers-Ulam stability, matrix Banach space, matrix fuzzy normed space, additive-cubic-quartic functional equation.

Wang, Zhihua 1 ; Sahoo, Prasanna K. 2

1 School of Science, Hubei University of Technology, Wuhan, Hubei 430068, P. R. China
2 Department of Mathematics, University of Louisville, Louisville, KY 40292, USA 
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Wang, Zhihua; Sahoo, Prasanna K. Stability of an ACQ-functional equation in various matrix normed spaces. Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 1, p. 64-85. doi : 10.22436/jnsa.008.01.08. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.008.01.08/

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