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1
Content available remote Remarks on δ-semi-open sets and δ-preopen sets
100%
Noiri T.
|
2003
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tom Vol. 36, nr 4
1007--1020
EN
It is shown that a subset A of a topological space (X, r) is (^semi-open (resp. preopen) in (X,r) if and only if it is semi-open (resp. preopen) in (X,r.s), where rs denotes the semi-regularization of r. By using this fact, we can obtain several new characterizations of s-closed spaces, semi-connected spaces, and some separation axioms.
2
Content available remote Ʌɯ-Sets and Vɯ-sets in weak structures space due to Császár
63%
Al-Omari A. , Noiri T.
Fasciculi Mathematici
|
2014
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tom Nr 52
15--23
PL
In this paper we introduce the concepts of Ʌɯ-sets and Vɯ-sets in a weak structure space due to Császár. It is shown that many results in previous papers can be considered as special cases of our results.
3
Content available remote ⍺-preirresolute functions and β-preirresolute functions
63%
Beceren Y. , Noiri T.
|
2003
|
tom Vol. 36, nr 1
207--213
EN
The purpose of this paper is to introduce new two classes of functions called ⍺-preirresolute functions and β-preirrsolute functions in topological spaces. Some properties and several characterizations of these types of functions are obtained. Also, we investigate the relationship between these clasess of functions and other classes of non-continuous functions.
4
Content available remote Some properties of almost weakly continuous multifunctions
63%
Popa V. , Noiri T.
|
1999
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tom Vol. 32, nr 3
605-614
EN
In [13], the authors defined a multifunction F : X - Y to be upper (lower) almost weakly continuous if for each x należy do X and each open set V containing F(x) (resp. F(x) iloczyn V=0) x należy do Int(Cl(F+ (Cl(V)))) (resp, x należy do Int(Cl(F- (Cl(V))))). In this paper, further characterizations and several properties concerning upper (lower) almost weakly continuous multifunctions are obtained.
5
Content available remote A generalization of ω-continuity
63%
Noiri T. , Popa V.
Fasciculi Mathematici
|
2010
|
tom Nr 45
71-86
EN
In this paper, by using mg*-closed sets [23], we define and investigate the notion of mg*-continuity which is a generalization of ω-continuity [32] or g-continuity [35].
6
Content available remote Further properties of quasi M-continuous functions
63%
Noiri T. , Popa V.
|
|
tom Nr 47
29--46
EN
We obtain the further properties of quasi Mconti¬nuous functions which were introduced and investigated in order to establish the unified theory for several variations of quasi-conti¬nuity between bitopological spaces.
7
Content available remote Some properties of upper and lower θ-quasicontinuous multifunctions
63%
Noiri T. , Popa V.
|
|
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.
8
Content available remote On strongly semi-regular spaces
63%
Jafari S. , Noiri T.
|
2001
|
tom Vol. 34, nr 1
187-190
EN
The present authors [12] introduced the notion of strong semi-regularity to investigate the class of (0, s)-continuous functions. The aim of this paper is to investigate further this type of regularity.
9
Content available remote On s-precontinuous multifunctions
63%
Popa V. , Noiri T.
|
2000
|
tom Vol. 33, nr 3
679-687
EN
In this paper we introduce and study 5-precontinuous multifunctions as a generalization of 5-continuous multifunctions and precontinuous multifunctions. Several characterizations and some basic properties of such multifunctions are investigated.
10
Content available remote On iterate minimal structures and M-iterate continuous functions
63%
Noiri T. , Popa V.
Fasciculi Mathematici
|
2013
|
tom Nr 50
109--119
EN
We introduce the notion of mIT-structures determined by operators mint and mCl on an m-space (X, mX). By using mIT-structures, we introduce and investigate a function f : (X, mIT) → (Y, mY) called MIT-continuous. As special cases of M/T -continuity, we obtain M-semicontinuity [21] and M-precontinuity [23].
11
Content available remote The unified theory of certain types of generalizations of Lindelof spaces
63%
Noiri T. , Popa V.
|
2010
|
tom Vol. 43, nr 1
203-212
EN
We introduce a new class of sets called u-m-open sets which are defined on a family of sets satisfying m-structures with the property of being closed under arbitrary union. The sets enable us to obtain some unified properties of certain types of generalizations of Lindelof spaces.
12
Content available remote On some new decompositions of continuity
63%
Ekici E. , Noiri T.
|
2008
|
tom Vol. 41, nr 1
225-231
EN
The main purpose of this paper is to introduce the concepts of [...] to obtain new decompositions of continuity and super-continuity.
13
Content available remote On gamma alfa-continuous functions
63%
Ekici E. , Noiri T.
|
|
tom Vol. 38, nr 4
943--951
EN
The aim of this paper is to introduce and study gamma alfa-continuous functions as a generalization of preirresoluteness, alfa-precontinuity, alfa-irresoluteness, gamma-irresoluteness, irresoluteness and semi alfa-irresoluteness. Furthermore, basic characterizations, preservation theorems and several properties concerning gamma alfa-continuous functions are investigated. The relationships between gamma alfa-continuous functions and the other types of continuity are also discussed.
14
Content available remote New maximal and minimal sets via βθ-open sets
51%
Caldas M. , Jafari S. , Noiri T.
|
2018
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tom Nr 61
17--25
EN
Nakaoka and Oda ([9] and [10]) introduced the notion of maximal open sets and minimal closed sets. In this paper, we introduce new classes of sets called maximal βθ-open sets, minimal βθ-closed sets, βθ-semi maximal open sets and βθ-semi minimal closed sets and investigate some of their fundamental properties.
15
Content available remote On totally πg-continuous functions
51%
Noiri T. , Bhuvaneswari J. , Rajesh N.
Fasciculi Mathematici
|
2013
|
tom Nr 50
101--108
EN
In this paper, πg-closed sets and πg-open sets are used to define and investigate a new class of functions called, totally πg-continuous functions. Relationships between this new class and other classes of related functions are established.
16
Content available remote Weak forms of open and closed functions via b-Q-open sets
51%
Noiri T. , Al-Omari A. , Noorani S.
|
2009
|
tom Vol. 42, nr 1
193-203
EN
In this paper, we introduce and study two new classes of functions called weakly b-Q-open functions and weakly b-Q-closed functions by using the notions of b-Q-open sets and b-Q-closure operator. The connections between these functions and other related functions are investigated.
17
Content available remote Slightly (μ,λ) - continuous functions
51%
Aljarrah H. H. , Noorani M. S. M. , Noiri T.
Fasciculi Mathematici
|
2014
|
tom Nr 52
5--13
EN
We introduce a new notion called slightly (μ,λ)-continuous functions on generalized topological spaces. Furthermore, basic properties and preservation theorems of slightly (μ,λ)-continuous functions are investigated and relationships between slightly (μ,λ)-continuous functions and graphs are investigated.
18
Content available remote Contra (mX, mY)-semicontinuous functions in m-spaces
51%
Acikgoz A. , Noiri T. , Tas N.
Fasciculi Mathematici
|
2017
|
tom Nr 58
5--17
EN
In this paper, we introduce the notion of contra (mX, mY)-semicontinuous functions between m-spaces. We obtain many characterizations of these functions and deal with decompositions of the functions and other related functions.
19
Content available remote On almost weakly continuous functions
51%
Jafari S. , Noiri T.
|
1998
|
tom Vol. 31, nr 2
437-443
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