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1
Content available remote Some fixed point theorems for mappings satisfying contractive condition of integral type on d-complete topological spaces
100%
Altun I. , Turkoglu D.
Fasciculi Mathematici
|
2009
|
tom Nr 42
5-15
EN
In this paper, we prove two fixed point theorems for mappings satisfying contractive condition of integral type on d-complete Hausdorff topological spaces.
2
Content available remote K-connectivity
88%
Jędrzejewski J. , Kowalczyk S.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2008
|
tom Vol. 13
27-32
EN
The notion of some connectedness is introduced and it is compared with usual connected sets. Subsets of a topological space that are called i-connected have been introduced by J. Knop & M. Wróbel in [2] in 2006 The reason of introducing this notion is based upon the fact that a subset of the space R with nonempty interior is i-connected if and only if it is connected.
3
Content available remote Operations on bitopological spaces
88%
Khedr F. H. , Abdelhakiem K. M.
Fasciculi Mathematici
|
2010
|
tom Nr 45
47--57
EN
In 1979, Kasahara [8], introduced the concept of operations on topological spaces. Further investigations of this concept are given in [7,15]. Operations on bitopological spaces were discussed in some manner in [ 1,10]. In this paper we use a different technique of that in [1,10] to study the concepts of operations on bitopological spaces by generalizing the results obtained in [8,15] to such spaces.
4
Content available remote On some properties of connected functions
75%
Jędrzejewski J.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2008
|
tom Vol. 13
15-26
EN
We consider some properties of functions defined in a topological space X with values in another topological space Y. We shall consider some properties of functions defined in a topological space X with values in a topological space Y. Topological terminology is taken from the books General Topology by R. Engelking [1] and General Topolowy by J. L. Kelley [7].
5
Content available remote Pβ-connectedness in topological spaces
75%
Tyagi B. K. , Singh S. , Bhardwaj M.
Demonstratio Mathematica
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2017
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tom Vol. 50, nr 1
299--308
EN
A new property called Pβ-connectedness is introduced which is stronger than connectedness and equivalent to pre-connectedness. The properties of this notion are explored and its relationship with other forms of connectedness, for example hyperconnectedness etc. are discussed. Locally pre-indiscrete spaces are defined as the spaces in which pre-open sets are closed. In such spaces connectedness becomes equivalent to pre-connectedness and hence to Pβ-connectedness, and semi-connectedness becomes equivalent to Pβ-connectedness. The notion of locally Pβ-connected space is introduced. The behavior of Pβ-connectedness under several types of mappings is investigated. An intermediate value theorem is obtained.
6
Content available About the ways of defining connected sets in the topological spaces
75%
Domańska K. , Wróbel M.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2016
|
tom Vol. 21
11--16
EN
A topological space is called connected if it is not the union of two disjoint, nonempty and open sets in this space. The standard exercises show that here the concept of open sets can be replaced by closed sets or separated sets. In this context we will discuss the definition of connected sets in topological spaces, not being the whole space with particular regard to metric spaces, without the term of subspace topology.
7
Content available On cluster sets of connected functions
75%
Jędrzejewski J.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2009
|
tom Vol. 14
51-61
EN
In the article we discuss some properties of a few classes of connected functions and cluster sets of functions from those classes.
8
Content available remote Remarks on connectivity and I-connectivity
75%
Jędrzejewski J. , Kowalczyk S.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2007
|
tom Vol. 12
49-54
9
Content available remote Remarks on almost locally connected spaces
75%
Shahzad N. , Al-Malki N.
Demonstratio Mathematica
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2006
|
tom Vol. 39, nr 1
219-222
EN
Some preservation theorems for almost local connectedness are proved.
10
Content available remote Two types of separation axioms on supra soft topological spaces
75%
Al-shami T. M. , El-Shafei M. E.
Demonstratio Mathematica
|
2019
|
tom Vol. 52, nr 1
147--165
EN
In 2011, Shabir and Naz [1] employed the notion of soft sets to introduce the concept of soft topologies; and in 2014, El-Sheikh and Abd El-Latif [2] relaxed the conditions of soft topologies to construct a wider and more general class, namely supra soft topologies. In this disquisition, we continue studying supra soft topologies by presenting two kinds of supra soft separation axioms, namely supra soft Ti-spaces and supra p-soft Ti-spaces for i= 0,1,2,3,4. These two types are formulated with respect to the ordinary points; and the difference between them is attributed to the applied non belong relations in their definitions. We investigate the relationships between them and their parametric supra topologies; and we provide many examples to separately elucidate the relationships among spaces of each type. Then we elaborate that supra p-soft Ti-spaces are finer than supra soft Ti-spaces in the case of i= 0,1,4; and we demonstrate that supra soft T3-spaces are finer than supra p-soft T3-spaces. We point out that supra p-softTi-axioms imply supra p-softTi−1, however, this characterization does not hold for supra soft Ti-axioms (see, Remark (3.30)). Also, we give a complete description of the concepts of supra p-soft Ti-spaces (i= 1,2) and supra p-soft regular spaces. Moreover, we define the finite product of supra soft spaces and manifest that the finite product of supra soft Ti (supra p-soft Ti) is supra soft Ti (supra p-soft Ti) for i= 0,1,2,3. After investigating some properties of these axioms in relation with some of the supra soft topological notions such as supra soft subspaces and enriched supra soft topologies, we explore the images of these axioms under soft S*-continuous mappings. Ultimately, we provide an illustrative diagram to show the interrelations between the initiated supra soft spaces.
11
Content available remote On the product of two functions which are approximately continuous and approximately regulated
75%
Grande M.
Demonstratio Mathematica
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2006
|
tom Vol. 39, nr 2
327-334
EN
In this article we investigate the products of two unilaterally approximately continuous and simultaneously approximately regulated functions. In particular we prove some necessary conditions satisfied by the products of two such functions and a sufficient condition ensuring that a function is the product of two such functions.
12
Content available remote Problem of the existence of ω*-primitives
75%
Kowalczyk S.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
2007
|
tom Vol. 12
61-68
EN
lf (X, ᵨ) is a dense in itself metric space and f : X →ℝ, then we define ω*(f,x) = infr >0 supy,z∈B (x,r) \ {x} ׀ f(y) - f(z)׀. We say that a function F : X →ℝ is an ω*-primitive for f : X →ℝ if ω* (F, .) = f. We discuss problem of the existence of ω*-primitives for an arbitrary upper semicontinuous function f : X → [0, ∞ ) defined on a dense in itself metric space. At the end we show that if an upper semicontinuous function f : X → [0, ∞) is defined on a nonmetrizable topological space, then ω*-primitive may not exists.
13
Content available remote On maps and generalized lambda alfa-sets
75%
Caldas M. , Ganster M. , Jafari S. , Navalagi G. B.
Demonstratio Mathematica
|
2005
|
tom Vol. 38, nr 3
729--738
EN
In this paper we introduce and study the concepts of g-lambda alfa-continuous maps, g-lambda alfa-irresolute maps and g-lambda alfa-closed maps by using generalized lambda alfa-sets and generalized Valfa-sets.
14
Content available remote Some properties of upper and lower θ-quasicontinuous multifunctions
75%
Noiri T. , Popa V.
Demonstratio Mathematica
|
2005
|
tom Vol. 38, nr 1
223--234
EN
In this paper we obtain new characterizations of upper and lower θ-quasicontinuous muitifunctions and investigate several properties of such multifunctions.
15
Content available remote K-differential spaces as sheaves. Induced and coinduced structure
75%
Piątkowski A.
Demonstratio Mathematica
|
2005
|
tom Vol. 38, nr 2
495--506
EN
Any K-differential space determines the sheaf of germs of its elements. We consider the K-differential space induced and coinduced by a single mapping. In this special case, we compare the sheaf of germs of the induced K-differential space with the inverse image of the sheaf of germs of a given K-differential space, and the sheaf of germs of the coinduced K-differential space with the image of the sheaf of germs of a given K-differential space.
16
Content available remote On almost e-I-continuous functions
75%
AL-Omeri W. , Noiri T.
Demonstratio Mathematica
|
2021
|
tom Vol. 54, nr 1
168--177
EN
This work is concerned with a new class of functions called almost e-I-continuous functions containing the class of almost e-continuous functions. This notion is stronger than almost δβI-continuous functions and is weaker than both almost e-continuous functions and e-I-continuous functions. Relationships between this new class and other classes of functions are investigated and some characterizations of this new class of functions are studied.
17
Content available remote Sur la méthode d'inversion dans l'Analysis Situs
75%
Kuratowski K.
Fundamenta Mathematicae
|
1923
|
tom 4
|
nr 1
151-163
FR
Le but de cette note est d'établir les propriétés de l'inversion de façon à en extraire entièrment le sens topologique.
18
Content available remote Topologia ultrafiltrowanych przekrojów jako przykład przestrzeni Priestley na P(A)
75%
Strózik D.
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
|
1999
|
tom Vol. 6
98--106
19
Topologia klastrowa w modelu logistyki biznesu
75%
Logistyka
|
2018
|
tom nr 6
25--29
PL
Artykuł przedstawia zagadnienia szeroko rozumianego modelu logistyki biznesu w aspekcie opcji jego tworzenia i przeprojektowania. Analizy poprowadzono poprzez identyfikację struktur jednolitych topologicznie i struktur klasterowych w odniesieniu do typowania form modelu biznesu. Prezentowane treści mogą być pomocne w analizach projektowych ładu przestrzennego, jak również projektach infrastrukturalnych, zarządczych. Zainicjowanie spojrzenia matematyczno- wizualizacyjnego i sformułowanej na tej podstawie metodyki badań projektowych może stanowić o nowum spojrzenia badawczego z wykorzystaniem miernika topologicznego.
EN
The article presents the issues of broadly defined business logistic’s model in the aspect of its creating and redesigning options. The analyses have been carried out through identification of topologically uniform structures and claster in respect of spacial planning typing business model. The presented content may be useful in project analyses of spacial order, as well as in infrastructural management project. Initiating a mathematical-visualisational view and a methodology of project research formulated upon this view may determine an innovative research perspective using the topology measure.
20
Content available remote On (γ, γ')-preopen sets
75%
Carpintero C. , Rajesh N. , Rosas E.
Demonstratio Mathematica
|
2013
|
tom Vol. 46, nr 3
617--629
EN
In this paper, we introduce and study the concept of [γ, γ']-preopen sets in topological space.
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