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List of Articles
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Open Access Article
1 - On some properties of the hyperspace $\theta (X)$ and the study of the space $\downarrow\theta C(X)$
R. SenThe aim of the paper is to first investigate some properties of the hyperspace $\theta(X)$, and then in the next article it deals with some detailed study of a special type of subspace $\downarrow\theta C(X)$ of the space $\theta (X\times \mathbb I)$.The aim of the paper is to first investigate some properties of the hyperspace $\theta(X)$, and then in the next article it deals with some detailed study of a special type of subspace $\downarrow\theta C(X)$ of the space $\theta (X\times \mathbb I)$. Manuscript profile -
Open Access Article
2 - Domination parameters of Cayley graphs of some groups
F. Ramezani‎In this paper‎, ‎we investigate domination number‎, ‎$\gamma$‎, ‎as well‎‎as signed domination number‎, ‎$\gamma_{_S}$‎, ‎of all cubic Cayley‎‎graphs of cyclic and quaternion groups‎. ‎In addition‎ More‎In this paper‎, ‎we investigate domination number‎, ‎$\gamma$‎, ‎as well‎‎as signed domination number‎, ‎$\gamma_{_S}$‎, ‎of all cubic Cayley‎‎graphs of cyclic and quaternion groups‎. ‎In addition‎, ‎we show that‎‎the domination and signed domination numbers of cubic graphs depend‎on each other‎. Manuscript profile -
Open Access Article
3 - On weakly e*-open and weakly e*-closed Functions
M. Özkoc S. ErdemThe aim of this paper is to introduce and study two new classes offunctions called weakly $e^{*}$-open functions and weakly$e^{*}$-closed functions via the concept of $e^{*}$-open set definedby Ekici \cite{erd1}. The notions of weakly $e^{*}$-open and weakly$e^{*}$-clos MoreThe aim of this paper is to introduce and study two new classes offunctions called weakly $e^{*}$-open functions and weakly$e^{*}$-closed functions via the concept of $e^{*}$-open set definedby Ekici \cite{erd1}. The notions of weakly $e^{*}$-open and weakly$e^{*}$-closed functions are weaker than the notions of weakly$\beta$-open and weakly $\beta$-closed functions defined by Caldasand Navalagi \cite{cal}, respectively. Moreover, we investigate notonly some of their fundamental properties, but also theirrelationships with other types of existing topological functions.‎ Manuscript profile -
Open Access Article
4 - $S$-metric and fixed point theorem
M. Simkhah Asil Sh. Sedghi N. Shobe Z. MitrovicIn this paper, we prove a general fixed point theorem in$\textrm{S}$-metric spaces for maps satisfying an implicitrelation on complete metric spaces. As applications, we get manyanalogues of fixed point theorems in metric spaces for$\textrm{S}$-metric spaces.In this paper, we prove a general fixed point theorem in$\textrm{S}$-metric spaces for maps satisfying an implicitrelation on complete metric spaces. As applications, we get manyanalogues of fixed point theorems in metric spaces for$\textrm{S}$-metric spaces. Manuscript profile -
Open Access Article
5 - Some improvements of numerical radius inequalities via Specht’s ratio
Y. Khatib M. HassaniWe obtain some inequalities related to the powers of numericalradius inequalities of Hilbert space operators. Some results thatemploy the Hermite-Hadamard inequality for vectors in normed linearspaces are also obtained. We improve and generalize someinequalities with re MoreWe obtain some inequalities related to the powers of numericalradius inequalities of Hilbert space operators. Some results thatemploy the Hermite-Hadamard inequality for vectors in normed linearspaces are also obtained. We improve and generalize someinequalities with respect to Specht's ratio. Among them, we showthat, if $A, B\in \mathcal{B(\mathcal{H})}$ satisfy in someconditions, it follows that \begin{equation*} \omega^2(A^*B)\leq \frac{1}{2S(\sqrt{h})}\Big\||A|^{4}+|B|^{4}\Big\|-\displaystyle{\inf_{\|x\|=1}} \frac{1}{4S(\sqrt{h})}\big(\big\langle \big(A^*A-B^*B\big) x,x\big\rangle\big)^2 \end{equation*} for some $h>0$, where $\|\cdot\|,\,\,\,\omega(\cdot)$ and $S(\cdot)$denote the usual operator norm, numerical radius and the Specht'sratio, respectively. Manuscript profile -
Open Access Article
6 - Algebraic and topological aspects of quasi-prime ideals
M. Aghajani A. TarizadehIn this paper, we define the new notion of quasi-prime ideal which generalizesat once both prime ideal and primary ideal notions. Then a naturaltopology on the set of quasi-prime ideals of a ring is introduced which admits the Zariski topology as a subspace topology. Th MoreIn this paper, we define the new notion of quasi-prime ideal which generalizesat once both prime ideal and primary ideal notions. Then a naturaltopology on the set of quasi-prime ideals of a ring is introduced which admits the Zariski topology as a subspace topology. The basicproperties of the quasi-prime spectrum are studied and several interesting results are obtained. Specially, it is proved that ifthe Grothendieck t-functor is applied on the quasi-prime spectrumthen the prime spectrum is deduced. It is also shown that there arethe cases that the prime spectrum and quasi-prime spectrum do notbehave similarly. In particular, natural topological spaces withoutclosed points are obtained. Manuscript profile -
Open Access Article
7 - Approximate $n-$ideal amenability of module extension Banach algebras
M. Ettefagh S. EtemadLet $\mathcal{A}$ be a Banach algebra and $X$ be a Banach$\mathcal{A}-$bimodule. We study the notion of approximate $n-$idealamenability for module extension Banach algebras $\mathcal{A}\oplusX$. First, we describe the structure of ideals of this kind ofalgebras and we MoreLet $\mathcal{A}$ be a Banach algebra and $X$ be a Banach$\mathcal{A}-$bimodule. We study the notion of approximate $n-$idealamenability for module extension Banach algebras $\mathcal{A}\oplusX$. First, we describe the structure of ideals of this kind ofalgebras and we present the necessary and sufficient conditions fora module extension Banach algebra to be approximately n-ideallyamenable. Manuscript profile
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