General topology
1. Paracompactness on supra topological spaces

T. Al-shami

Volume 09, Issue 02 , Spring 2020, , Pages 121-127

Abstract
  In this article, we present the concept of supra paracompact spaces and study its basic properties. We elucidate its relationship with supra compact spaces and prove that the property of being a supra paracompact space is weakly hereditary and topological properties. Also, we provide some examples to ...  Read More

General topology
2. Somewhat-connectedness and somewhat-continuity in the product space

M. S. Bilao; M. A. Labendia

Volume 09, Issue 02 , Spring 2020, , Pages 139-148

Abstract
  In this paper, the concept of somewhat-connected space will be introduced and characterized. Its connection with the other well-known concepts such as the classical connectedness, the $\omega_\theta$-connectedness, and the $\omega$-connectedness will be determined. Moreover, the concept of \textit{somewhat}-continuous ...  Read More

General topology
3. On the topological equivalence of some generalized metric spaces

N. TAŞ

Volume 09, Issue 01 , Winter 2020, , Pages 67-74

Abstract
  ‎The aim of this paper is to establish the equivalence between the concepts‎ ‎of an $S$-metric space and a cone $S$-metric space using some topological‎ ‎approaches‎. ‎We introduce a new notion of a $TVS$-cone $S$-metric space using‎ ‎some facts about ...  Read More

General topology
4. $\gamma_{_\mu}$-Lindel\"{o}f generalized topological spaces

B. Roy; T. Noiri

Volume 08, Issue 04 , Autumn 2019, , Pages 257-263

Abstract
  ‎In this paper we have introduced new types of sets termed as $\omega_{_{\gamma_{_\mu}}}$-open sets with the help of an operation and a generalized topology‎. ‎We have also defined a notion of $\gamma_{_\mu}$-Lindel\"{o}f spaces and discussed some of its basic properties‎.    Read More

General topology
5. Some topological properties of fuzzy strong b-metric spaces

T. Oner

Volume 08, Issue 02 , Spring 2019, , Pages 127-131

Abstract
  ‎In this study‎, ‎we investigate topological properties of fuzzy strong‎ b-metric spaces defined in [13]‎. ‎Firstly‎, ‎we prove Baire's theorem for‎ ‎these spaces‎. ‎Then we define the product of two fuzzy strong b-metric spaces‎ ‎defined ...  Read More

General topology
6. On some forms of e*-irresoluteness

M. Ozkoc; K. Sarıkaya Atasever

Volume 08, Issue 01 , Winter 2019, , Pages 25-39

Abstract
  ‎The main goal of this paper is to introduce and study two new class of functions‎, ‎called weakly $e^*$-irresolute functions and strongly $e^*$-irresolute functions‎, ‎via the notion of $e^*$-open set defined by Ekici [7]. ‎We obtain several fundamental properties and characterizations ...  Read More

Linear and multilinear algebra; matrix theory
7. On $\beta-$topological vector spaces

S. Sharma; M. Ram

Volume 08, Issue 01 , Winter 2019, , Pages 63-70

Abstract
  We introduce and study a new class of spaces, namely $\beta-$topological vector spaces via $\beta-$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of $\beta-$topological vector spaces are provided.    Read More

Operator theory
8. Algebraic distance in algebraic cone metric spaces and its properties

K. Fallahi; G. Soleimani Rad

Volume 07, Issue 04 , Autumn 2018, , Pages 273-280

Abstract
  In this paper, we prove some properties of algebraic cone metric spaces and introduce the notion of algebraic distance in an algebraic cone metric space. As an application, we obtain some famous fixed point results in the framework of this algebraic distance.  Read More

General topology
9. Preclosure operator and its applications in general topology

A. A. Nasef; S. Jafari; M. Caldas; R. M. Latif; A. A. Azzam

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

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 ...  Read More

General topology
10. On characterizations of weakly $e$-irresolute functions

M. Ozkoc; T. Yilmaz

Volume 07, Issue 01 , Winter 2018, , Pages 11-19

Abstract
  The aim of this paper is to introduce and obtain some characterizations of weakly $e$-irresolute functions by means of $e$-open sets defined by Ekici [6]. Also, we look into further properties relationships between weak $e$-irresoluteness and separation axioms and completely $e$-closed graphs.  Read More

General topology
11. Fuzzy $\bigwedge_{e}$ Sets and Continuity in Fuzzy Topological spaces

A. Vadivel; B. Vijayalakshmi

Volume 06, Issue 02 , Spring 2017, , Pages 125-134

Abstract
  We introduce a new class of fuzzy open sets called fuzzy $\bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $\bigwedge_e$ sets termed as fuzzy locally $\bigwedge_e$ sets. By means of these new sets, we present the notions of fuzzy $\bigwedge_e$ ...  Read More

General topology
12. Preorder Relators and Generalized Topologies

H. Arianpoor

Volume 05, Issue 04 , Autumn 2016, , Pages 271-277

Abstract
  In this paper we investigate generalized topologies generated by a subbase of preorder relators and consider its application in the concept of the complement. We introduce the notion of principal generalized topologies obtained from the new type of open sets and study some of their important ...  Read More

General topology
13. Connected and Hyperconnected Generalized Topological Spaces

I. Basdouri; R. Messaoud; A. Missaoui

Volume 05, Issue 04 , Autumn 2016, , Pages 229-234

Abstract
  A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion hyperconnected. We study some speci c properties about connected and hyperconnected in generalized topological spaces. Finally, we characterize the connected component ...  Read More

General topology
14. Some topological operators via grills

A. A. Nasef; A. Azzam

Volume 05, Issue 03 , Summer 2016, , Pages 199-204

Abstract
  In this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterization and basic properties of these operators are obtained. Also, we generalize a grill topological spaces via topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$.  Read More

General topology
15. On weakly eR-open functions

M. Ozkoc; B. S. Ayhan

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

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 ...  Read More

General topology
16. On Baer type criterion for $C$-dense‎, ‎$C$-closed and quasi injectivity

H. Barzegar; H. Arianpoor

Volume 05, Issue 02 , Spring 2016, , Pages 105-109

Abstract
  ‎For the subclasses $\mathcal{M}_1$ and $\mathcal{M}_2$ of‎ ‎monomorphisms in a concrete category $\mathcal{C}$‎, ‎if $\mathcal‎{M}_2\subseteq \mathcal{M}_1$‎, ‎then $\mathcal{M}_1$-injectivity‎ ‎implies $\mathcal{M}_2$-injectivity‎. ‎The Baer ...  Read More

General topology
17. Subcategories of topological algebras

V. L. Gompa

Volume 05, Issue 01 , Winter 2016, , Pages 15-28

Abstract
  In addition to exploring constructions and properties of limits and colimits in categories of topological algebras, we study special subcategories of topological algebras and their properties. In particular, under certain conditions, reflective subcategories when paired with topological structures ...  Read More

General topology
18. F-Closedness in Bitopological Spaces

A. A. Nasef; A. Azzam

Volume 05, Issue 01 , Winter 2016, , Pages 47-53

Abstract
  The purpose of this paper is to introduce the concept of pairwise F-closedness in bitopological spaces. This space contains both of pairwise strongcompactness and pairwise S-closedness and contained in pairwise quasi H-closedness. The characteristics and relationships concerning this new class of spaces ...  Read More

General topology
19. Generalized superconnectedness

E. Bouassida; B. Ghanmi; R. Messaoud; A. Missaoui

Volume 04, Issue 04 , Autumn 2015, , Pages 267-273

Abstract
  A. Csaszar introduced and extensively studied the notion of generalized open sets. Following Csazar, we introduce a new notion superconnected. The main purpose of this paper is to study generalized superconnected spaces. Various characterizations of generalized superconnected spaces and ...  Read More

General topology
20. On fuzzy soft connected topological spaces

S. Karataş; B. Kılıccedil; M. Tellioğlu

Volume 04, Issue 03 , Summer 2015, , Pages 229-240

Abstract
  In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness. Moreover, $C_i$-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.  Read More

General topology
21. s-Topological vector spaces

M. Khan; S. Azam; S. Bosan

Volume 04, Issue 02 , Spring 2015, , Pages 153-158

Abstract
  In this paper, we have de ned and studied a generalized form of topological vector spaces called s-topological vector spaces. s-topological vector spaces are de ned by using semi-open sets and semi-continuity in the sense of Levine. Along with other results, it is proved that every s-topological ...  Read More

Set theory
22. Soft regular generalized b-closed sets in soft topological spaces

S. M. Al-Salem

Volume 03, Issue 04 , Autumn 2014, , Pages 196-204

Abstract
  The main purpose of this paper is to introduce and study new classes of soft closed sets like soft regular generalized b-closed sets in soft topological spaces (briefly soft rgb-closed set) Moreover, soft rg -closed, soft gpr-closed, soft gb-closed, soft gsp-closed, soft g$\alpha$-closed, ...  Read More