A fixed point method for proving the stability of ring $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras
محورهای موضوعی : Fixed point theory
M. Eshaghi Gordji
1
,
S. Abbaszadeh
2
1 - Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
2 - Department of Mathematics, Payame Noor University, P.O. BOX 19395-4697, Tehran, Iran
کلید واژه: Fixed point theorem, $2$-normed algebras, hyperstability, $(\alpha, \beta, \gamma)$-derivations,
چکیده مقاله :
In this paper, we first present the new concept of $2$-normed algebra.We investigate the structure of this algebra and give some examples.Then we apply a fixed point theorem to prove the stability and hyperstability of $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras.
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