Title of article :
On the stability of the Pexiderized cubic functional equation in multi-normed spaces
Author/Authors :
- - نويسنده Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran. Nazarianpoor Mahdi , - - نويسنده Department of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran. Sadeghi Ghadir
Pages :
39
From page :
45
Abstract :
-
Abstract :
In this paper, we investigate the Hyers-Ulam stability of the orthogonally  cubic equation and  Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method. Moreover, we prove the Hyers-Ulam stability of the  $2$-variables cubic  equation [ f(2x+y,2z+t)+f(2x-y,2z-t) =2f(x+y,z+t) +2f(x-y,z-t)+12f(x,z),]and orthogonally cubic type and $k$-cubic equation in multi-normed spaces. A counter example for non stability of the cubic equation is also discussed.
Journal title :
Astroparticle Physics
Record number :
2410057
Link To Document :
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