kabbaj samir Articles List

List of Articles kabbaj samir

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1 - 2-Banach stability results for the radical cubic functional equation related to quadratic mapping
R. E. Ghali S. Kabbaj
20.1001.1.22520201.2020.09.01.3.0

The 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 More

The 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]. Manuscript profile
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2 - $\ast$-K-g-Frames in Hilbert $\mathcal{A}$-modules
M. Rossafi S. Kabbaj
20.1001.1.22520201.2018.07.01.6.9

In this paper, we introduce the concepts of $\ast$-K-g-Frames in Hilbert $\mathcal{A}$-modules and we establish some results.

In this paper, we introduce the concepts of $\ast$-K-g-Frames in Hilbert $\mathcal{A}$-modules and we establish some results. Manuscript profile
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3 - A new type of Hyers-Ulam-Rassias stability for Drygas functional equation
M. Sirouni M. &lrm;Almahalebi S. &lrm;Kabbaj
20.1001.1.22520201.2018.07.04.1.0

In 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 More

In 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]. Manuscript profile
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4 - Generalized hyperstability of the cubic functional equation in ultrametric spaces
Y. &lrm;Aribou H. Dimou S. Kabbaj
20.1001.1.22520201.2019.08.02.2.4

&lrm;In this paper&lrm;, &lrm;we present the&lrm;generalized hyperstability results of cubic functional equation in&lrm;&lrm;ultrametric Banach spaces using the fixed point method&lrm;.

&lrm;In this paper&lrm;, &lrm;we present the&lrm;generalized hyperstability results of cubic functional equation in&lrm;&lrm;ultrametric Banach spaces using the fixed point method&lrm;. Manuscript profile
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5 - Operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$
M. Rossafi S. Kabbaj
20.1001.1.22520201.2019.08.02.1.3

&lrm;Frames generalize orthonormal bases and allow representation of all the elements of the space&lrm;. &lrm;Frames play significant role in signal and image processing&lrm;, &lrm;which leads to many applications in informatics&lrm;, &lrm;engineering&lrm;, &lrm;medicin More

&lrm;Frames generalize orthonormal bases and allow representation of all the elements of the space&lrm;. &lrm;Frames play significant role in signal and image processing&lrm;, &lrm;which leads to many applications in informatics&lrm;, &lrm;engineering&lrm;, &lrm;medicine&lrm;, &lrm;and probability&lrm;. &lrm;In this paper&lrm;, &lrm;we introduce the concepts of operator frame for the space $End_{\mathcal{A}}^{\ast}(\mathcal{H})$ of all adjointable operators on a Hilbert $\mathcal{A}$-module $\mathcal{H}$ and establish some results&lrm;. Manuscript profile

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List of Articles kabbaj samir