-
دسترسی آزاد مقاله
1 - Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras
R. Gholami Gh. Askari M. Eshaghi GordjiIn this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyper چکیده کاملIn this paper, we investigate the generalized Hyers-Ulam-Rassias and the Isac and Rassias-type stability of the conditional of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. As a consequence of this, we prove the hyperstability of orthogonally ring $*$-$n$-derivation and orthogonally ring $*$-$n$-homomorphism on $C^*$-algebras. پرونده مقاله -
دسترسی آزاد مقاله
2 - A fixed point method for proving the stability of ring $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras
M. Eshaghi Gordji S. AbbaszadehIn 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 چکیده کاملIn 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. پرونده مقاله -
دسترسی آزاد مقاله
3 - 2-Banach stability results for the radical cubic functional equation related to quadratic mapping
R. E. Ghali S. KabbajThe aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadraticfunctional equation$$f\left(\sqrt[3]{ax^{3}+by^{3}}\right)+f\left(\sqrt[3]{ax^{3}-by^{3}}\right)=2a^{2}f(x)+2b^{2}f(y),\;\; x,y\in\mathbb{R},$$for a map چکیده کاملThe aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadraticfunctional equation$$f\left(\sqrt[3]{ax^{3}+by^{3}}\right)+f\left(\sqrt[3]{ax^{3}-by^{3}}\right)=2a^{2}f(x)+2b^{2}f(y),\;\; x,y\in\mathbb{R},$$for a mapping $f$ from $\mathbb{R}$ into a vector space.We also investigate some stability and hyperstability results forthe considered equation in 2-Banach spaces by using an analogue theorem of Brzd\c{e}k in [17]. پرونده مقاله -
دسترسی آزاد مقاله
4 - A new type of Hyers-Ulam-Rassias stability for Drygas functional equation
M. Sirouni M. ‎Almahalebi S. ‎KabbajIn this paper, we prove the generalized Hyers-Ulam-Rassias stability for the Drygas functional equation$$f(x+y)+f(x-y)=2f(x)+f(y)+f(-y)$$ in Banach spaces by using the Brz\c{d}ek's fixed point theorem. Moreover, we give a general result on the hyperstability of this equ چکیده کاملIn this paper, we prove the generalized Hyers-Ulam-Rassias stability for the Drygas functional equation$$f(x+y)+f(x-y)=2f(x)+f(y)+f(-y)$$ in Banach spaces by using the Brz\c{d}ek's fixed point theorem. Moreover, we give a general result on the hyperstability of this equation. Our results are improvements and generalizations of the main result of M. Piszczek and J. Szczawi\'{n}ska [21]. پرونده مقاله -
دسترسی آزاد مقاله
5 - On a new type of stability of a radical cubic functional equation related to Jensen mapping
S. A. A. AL-Ali Y. Elkettani‎The aim of this paper is to introduce and solve the‎radical cubic functional equation‎ ‎$‎‎f\left(\sqrt[3]{x^{3}+y^{3}}\right)+f\left(\sqrt[3]{x^{3}-y^{3}}\right)=2f(x)‎$.‎ ‎We also investigate some stability and hyperstability resul چکیده کامل‎The aim of this paper is to introduce and solve the‎radical cubic functional equation‎ ‎$‎‎f\left(\sqrt[3]{x^{3}+y^{3}}\right)+f\left(\sqrt[3]{x^{3}-y^{3}}\right)=2f(x)‎$.‎ ‎We also investigate some stability and hyperstability results for‎‎the considered equation in 2-Banach spaces‎. پرونده مقاله -
دسترسی آزاد مقاله
6 - Generalized hyperstability of the cubic functional equation in ultrametric spaces
Y. ‎Aribou H. Dimou S. Kabbaj‎In this paper‎, ‎we present the‎generalized hyperstability results of cubic functional equation in‎‎ultrametric Banach spaces using the fixed point method‎.‎In this paper‎, ‎we present the‎generalized hyperstability results of cubic functional equation in‎‎ultrametric Banach spaces using the fixed point method‎. پرونده مقاله