**Volume 09 (2020)**

**Volume 08 (2019)**

**Volume 07 (2018)**

**Volume 06 (2017)**

**Volume 05 (2016)**

**Volume 04 (2015)**

**Volume 03 (2014)**

**Volume 02 (2013)**

**Volume 01 (2012)**

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Number of Articles: 220

##### 1. On the commuting graph of non-commutative rings of order $p^nq$

*Volume 03, Issue 01 , Winter 2014, , Pages 1-6*

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**Abstract **

Let $R$ be a non-commutative ring with unity. The commuting graph of $R$ denoted by $\Gamma(R)$, is a graph with vertex set $R\Z(R)$ and two vertices $a$ and $b$ are adjacent iff $ab=ba$. In this paper, we consider the commuting graph of non-commutative rings of order pq and $p^2q$ with ...
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##### 2. $n$-Jordan homomorphisms on C-algebras

*Volume 01, Issue 01 , Winter 2012, , Pages 1-7*

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**Abstract **

Let $n\in \mathbb{N}$. An additive map $h:A\to B$ between algebras $A$ and $B$ is called $n$-Jordan homomorphism if $h(a^n)=(h(a))^n$ for all $a\in A$. We show that every $n$-Jordan homomorphism between commutative Banach algebras is a $n$-ring homomorphism when $n < 8$. For these cases, every ...
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##### 3. Upper and lower $\alpha(\mu_{X},\mu_{Y})$-continuous multifunctions

*Volume 04, Issue 01 , Winter 2015, , Pages 1-9*

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**Abstract **

In this paper, a new class of multifunctions, called generalized $\alpha(\mu_{X},\mu_{Y})$-continuous multifunctions, has been dened and studied. Some characterizations and several properties concerning generalized $\alpha(\mu_{X},\mu_{Y})$-continuous multifunctions are obtained. The relationships ...
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##### 4. Solved and unsolved problems in generalized notions of Connes amenability

*Volume 02, Issue 01 , Winter 2013, , Pages 1-7*

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**Abstract **

We survey the recent investigations on (bounded, sequential) approximate Connes amenability and pseudo-Connes amenability for dual Banach algebras. We will discuss the core problems concerning these notions and address the signicance of any solutions to them to the development of the ...
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##### 5. Existence and multiplicity of positive solutions for a class of semilinear elliptic system with nonlinear boundary conditions

*Volume 05, Issue 01 , Winter 2016, , Pages 1-13*

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**Abstract **

This study concerns the existence and multiplicity of positive weak solutions for a class of semilinear elliptic systems with nonlinear boundary conditions. Our results is depending on the local minimization method on the Nehari manifold and some variational techniques. Also, by using ...
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##### 6. Normalized laplacian spectrum of two new types of join graphs

*Volume 06, Issue 01 , Winter 2017, , Pages 1-9*

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**Abstract **

Let $G$ be a graph without an isolated vertex, the normalized Laplacian matrix $\tilde{\mathcal{L}}(G)$ is defined as $\tilde{\mathcal{L}}(G)=\mathcal{D}^{-\frac{1}{2}}\mathcal{L}(G)\mathcal{D}^{-\frac{1}{2}}$, where $\mathcal{D}$ is a diagonal matrix ...
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##### 7. Preclosure operator and its applications in general topology

*Volume 07, Issue 01 , Winter 2018, , Pages 1-9*

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**Abstract **

In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. We then show that when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric, functions ...
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##### 8. *-frames in Hilbert modules over pro-C*-algebras

*Volume 08, Issue 01 , Winter 2019, , Pages 1-10*

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**Abstract **

In this paper, by using the sequence of multipliers, we introduce frames with algebraic bounds in Hilbert pro-$ C^* $-modules. We investigate the relations between frames and $ \ast $-frames. Some properties of $ \ast $-frames in Hilbert pro-$ C^* $-modules ...
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##### 9. Approximate solutions of homomorphisms and derivations of the generalized Cauchy-Jensen functional equation in $C^*$-ternary algebras

*Volume 09, Issue 01 , Winter 2020, , Pages 1-15*

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**Abstract **

In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$\eta \mu f\left(\frac{x+y}{\eta}+z\right) = f(\mu x) + f(\mu y) +\eta f(\mu z)$$ for all $\mu \in \mathbb{S}:= \{ \lambda \in \mathbb{C} : |\lambda | =1\}$ ...
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##### 10. Weak amenability of (2N)-th dual of a Banach algebra

*Volume 01, Issue 02 , Spring 2012, , Pages 55-65*

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**Abstract **

In this paper by using some conditions, we show that the weak amenability of (2n)-th dual of a Banach algebra A for some $n\geq 1$ implies the weak amenability of A.
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##### 11. On the construction of symmetric nonnegative matrix with prescribed Ritz values

*Volume 03, Issue 02 , Spring 2014, , Pages 61-66*

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**Abstract **

In this paper for a given prescribed Ritz values that satisfy in the some special conditions, we find a symmetric nonnegative matrix, such that the given set be its Ritz values.
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##### 12. Commuting $\pi$-regular rings

*Volume 02, Issue 02 , Spring 2013, , Pages 67-70*

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**Abstract **

R is called commuting regular ring (resp. semigroup) if for each x,y $\in$ R there exists a $\in$ R such that xy = yxayx. In this paper, we introduce the concept of commuting $\pi$-regular rings (resp. semigroups) and study various properties of them.
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##### 13. Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multi-fuzzy normed spaces

*Volume 05, Issue 02 , Spring 2016, , Pages 67-81*

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**Abstract **

In this paper, we introduce the notion of multi-fuzzy normed spaces and establish an asymptotic behavior of the quadratic functional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multi-fuzzy Banach ...
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##### 14. Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method

*Volume 07, Issue 02 , Spring 2018, , Pages 75-85*

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**Abstract **

In this paper, a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{\beta}(t-s)^{-\alpha}G(y(s))$ based on the Tau method. In this method, a transformation of the independent variable ...
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##### 15. Operator frame for $End_{\mathcal{A}}^{\ast}(\mathcal{H})$

*Volume 08, Issue 02 , Spring 2019, , Pages 85-95*

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**Abstract **

Frames generalize orthonormal bases and allow representation of all the elements of the space. Frames play significant role in signal and image processing, which leads to many applications in informatics, engineering, medicine, and probability. ...
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##### 16. On the convergence of the homotopy analysis method to solve the system of partial differential equations

*Volume 04, Issue 02 , Spring 2015, , Pages 87-100*

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**Abstract **

One of the efficient and powerful schemes to solve linear and nonlinear equations is homotopy analysis method (HAM). In this work, we obtain the approximate solution of a system of partial differential equations (PDEs) by means of HAM. For this purpose, we develop the concept of HAM for ...
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##### 17. New three-step iteration process and fixed point approximation in Banach spaces

*Volume 07, Issue 02 , Spring 2018, , Pages 87-100*

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**Abstract **

In this paper we propose a new iteration process, called the $K^{\ast }$ iteration process, for approximation of fixed points. We show that our iteration process is faster than the existing well-known iteration processes using numerical examples. ...
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##### 18. Smooth biproximity spaces and P-smooth quasi-proximity spaces

*Volume 06, Issue 02 , Spring 2017, , Pages 91-107*

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**Abstract **

The notion of smooth biproximity space where $\delta_1,\delta_2$ are gradation proximities defined by Ghanim et al. [10]. In this paper, we show every smooth biproximity space $(X,\delta_1,\delta_2)$ induces a supra smooth proximity space $\delta_{12}$ finer than $\delta_1$ and $\delta_2$. We ...
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##### 19. A note on the new basis in the mod 2 Steenrod algebra

*Volume 07, Issue 02 , Spring 2018, , Pages 101-107*

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**Abstract **

The Mod $2$ Steenrod algebra is a Hopf algebra that consists of the primary cohomology operations, denoted by $Sq^n$, between the cohomology groups with $\mathbb{Z}_2$ coefficients of any topological space. Regarding to its vector space structure over $\mathbb{Z}_2$, ...
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##### 20. An efficient method for the numerical solution of functional integral equations

*Volume 09, Issue 02 , Spring 2020, , Pages 105-111*

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**Abstract **

We propose an efficient mesh-less method for functional integral equations. Its convergence analysis has been provided. It is tested via a few numerical experiments which show the efficiency and applicability of the proposed method. Attractive numerical results have been obtained.
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##### 21. Stability and hyperstability of orthogonally ring $*$-$n$-derivations and orthogonally ring $*$-$n$-homomorphisms on $C^*$-algebras

*Volume 07, Issue 02 , Spring 2018, , Pages 109-119*

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**Abstract **

In 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 ...
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##### 22. Signature submanifolds for some equivalence problems

*Volume 03, Issue 03 , Summer 2014, , Pages 121-130*

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**Abstract **

This article concerned on the study of signature submanifolds for curves under Lie group actions SE(2), SA(2) and for surfaces under SE(3). Signature submanifold is a regular submanifold which its coordinate components are differential invariants of an associated manifold under Lie group ...
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##### 23. Derivations in semiprime rings and Banach algebras

*Volume 02, Issue 03 , Summer 2013, , Pages 129-135*

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**Abstract **

Let $R$ be a 2-torsion free semiprime ring with extended centroid $C$, $U$ the Utumi quotient ring of $R$ and $m,n>0$ are fixed integers. We show that if $R$ admits derivation $d$ such that $b[[d(x), x]_n,[y,d(y)]_m]=0$ for all $x,y\in R$ where $0\neq b\in R$, then there exists a central idempotent ...
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##### 24. On weakly eR-open functions

*Volume 05, Issue 03 , Summer 2016, , Pages 145-153*

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**Abstract **

The main goal of this paper is to introduce and study a new class of function via the notions of $e$-$\theta$-open sets and $e$-$\theta$-closure operator which are defined by Özkoç and Aslım [10] called weakly $eR$-open functions and $e$-$\theta$-open functions. Moreover, we investigate ...
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##### 25. Existence of best proximity and fixed points in $G_p$-metric spaces

*Volume 07, Issue 03 , Summer 2018, , Pages 155-168*