Title of article :
PERTURBATIONS OF HIGHER JORDAN DERIVATIONS IN BANACH TERNARY ALGEBRAS :AN ALTERNATIVE FIXED POINT APPROACH
Author/Authors :
FAROKHZAD ROSTAMI, R Department of Mathematics - Shahid Beheshti University, Tehran , HOSSEINIOUN, S.A.R Department of Mathematics - Shahid Beheshti University, Tehran
Abstract :
Using xed point methods, we investigate approximately higher Jor-
dan ternary derivations in Banach ternaty algebras via the functional equation
Df (x1; ::; xm) :=
Xm
k=2
(
Xk
i1=2
kX+1
i2=i1+1
:::
Xm
imk+1=imk+1
)f(
Xm
i=1;i6=i1;:::;imk+1
xi
mXk+1
r=1
xir )
+ f(
Xm
i=1
xi) 2m1f(x1) = 0
where m 2 is an integer number.
Keywords :
xes point theorem , higher Jordan ternary derivation , approximately higher ternary Jordan derivation , stability
Journal title :
Astroparticle Physics
