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1
Content available remote New maximal and minimal sets via βθ-open sets
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.
2
Content available remote Contra (mX, mY)-semicontinuous functions in m-spaces
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.
3
Content available remote More on weak δs-continuity in topological spaces
EN
The notion of weakly δs-continuous functions is introduced by Ekici in [6]. In this paper, we further investigate some more properties of weakly δs-continuous functions. This type of continuity is a generalization of super continuity [16].
4
Content available remote Ʌɯ-Sets and Vɯ-sets in weak structures space due to Császár
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.
5
Content available remote Slightly (μ,λ) - continuous functions
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.
6
Content available remote On totally πg-continuous functions
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.
7
Content available remote On iterate minimal structures and M-iterate continuous functions
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].
8
Content available remote On upper and lower faintly δ-β-continuous multifunctions
EN
In this paper, we introduce and study a new class of multifunctions called faintly δ-β-continuous multifunctions in topological spaces
9
Content available remote Further properties of quasi M-continuous functions
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.
10
Content available remote A generalization of ω-continuity
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].
11
Content available remote The unified theory of certain types of generalizations of Lindelof spaces
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 Slightly ω-continuos functions
EN
A new weak form of both slightly continuous and ω-continuous, called slightly ω-continuous, is introduced and studied. Furthermore, basic properties and preservation theorems of slightly ω-continuous functions are investigated. Relationships between slightly ω-continuous functions and set ω-connected functions are investigated.
EN
By using m-open multifunctions from a topological space into an m-space, we establish the unified theory for several weak forms of open multifunctions in the sense of Kuratowski between bitopological spaces.
14
Content available remote Weak forms of open and closed functions via b-Q-open sets
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.
15
Content available remote On some new decompositions of continuity
EN
The main purpose of this paper is to introduce the concepts of [...] to obtain new decompositions of continuity and super-continuity.
16
Content available remote On some forms of weakly continuous functions in bitopological spaces
EN
As a generalization of weakly continuous functions, we introduce the notion of (i, j)-weakly m-continuous functions in bitopological spaces and obtain unified characterizations and properties of certain forms of weakly continuous functions in bitopological spaces.
17
Content available remote Separation axioms in quasi m-bitopological spaces
EN
By using the notion of m-spaces, we establish the unified theory for several variations of separation axioms quasi TO, quasi T1 and quasi T2 in bitopological spaces.
18
Content available remote Some properties of upper and lower θ-quasicontinuous multifunctions
EN
In this paper we obtain new characterizations of upper and lower θ-quasicontinuous muitifunctions and investigate several properties of such multifunctions.
19
Content available remote On gamma alfa-continuous functions
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.
20
Content available remote Remarks on semi-open sets and preopen sets
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.
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