Title of article :
Stability of an ACQ-functional equation in various matrix normed spaces
Author/Authors :
Wang ، Zhihua - Hubei University of Technology , Sahoo ، Prasanna K. - University of Louisville
Pages :
22
From page :
64
To page :
85
Abstract :
Using the direct method and the fixed point method, we prove the HyersUlam 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.
Keywords :
Fixed point method , Hyers , Ulam stability , matrix Banach space , matrix fuzzy normed space , additive , cubic , quartic functional equation.
Journal title :
Journal of Nonlinear Science and Applications
Serial Year :
2015
Journal title :
Journal of Nonlinear Science and Applications
Record number :
2475495
Link To Document :
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