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1
Content available remote On rare s-precontinuity for multifunctions
Ekici E., Jafari S.
Demonstratio Mathematica
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2013
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Vol. 46, nr 2
395--403
EN
In this paper, we introduce and study the notions of upper and lower rarely s-precontinuous multifunctions which are a generalization of weakly s-precontinuous multifunctions due to Ekici and Park [3].
2
Content available remote On new separation axioms in bitopological spaces
Rajesh N., Ekici E., Jafari S.
Fasciculi Mathematici
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2011
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Nr 47
71--79
EN
The purpose of this paper is to introduce the notions g-R0, g-R1, g-T0, g-T0 and g-T0 in bitopological spaces.
3
Content available remote On weakly BR-open functions and their characterizations in topological spaces
Caldas M., Ekici E., Jafari S., Latif R. M.
Demonstratio Mathematica
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2011
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Vol. 44, nr 1
159--168
EN
In this paper, we introduce and study a new class of functions by using the notions of b-θ-open sets and b-θ-closure operator called weakly BR-open functions. The connections between this function and the other existing topological functions are studied.
4
Content available remote On some new decompositions of continuity
Ekici E., Noiri T.
Demonstratio Mathematica
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2008
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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.
5
Content available remote On separated sets and connected spaces
Ekici E.
Demonstratio Mathematica
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2007
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Vol. 40, nr 1
209-217
EN
The aim of this paper is to introduce the concept of connected topolog- ical spaces. Furthermore, the notions of separated sets, connected sets, component are introduced and studied. Also, the concept of set connectedness and connected spaces between subsets are introduced and the relationships of them are investigated.
6
Content available remote On an extension for functions
Ekici E.
Demonstratio Mathematica
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2006
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Vol. 39, nr 3
657-670
EN
A new classes of functions, called strongly na-precontinuous functions, strongly na-continuous functions and na-continuous functions have been introduced. This paper considers the class of sigmas -na-continuous functions and its relationships to semi-regularization topologies, the other related functions. Preservation of appropriate topo-logical properties by sigmas -na-continuous functions is investigated.
7
Content available remote Slightly beta-continuous multifunctions
Ekici E.
Demonstratio Mathematica
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2005
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Vol. 38, nr 2
469-484
EN
In this paper, we introduce and study upper and lower slightly beta-continuous multifunctions as a generalization of upper (lower) semicontinuous, upper (lower) alfa-continuous, upper (lower) precontinuous, upper (lower) quasi-continuous, upper (lower) gamma-continuous, upper (lower) beta-continuous multifunctions and slightly beta-continuous functions. Some characterizations and several properties concerning upper (lower) slightly beta-continuous multifunctions are obtained. Furthermore, the relationships between upper (lower) slightly beta-continuous multifunctions and other related multifunctions are also discussed.
8
Content available remote On the notion of (gamma, s)-continuous functions
Ekici E.
Demonstratio Mathematica
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2005
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Vol. 38, nr 3
715--727
EN
In 2002, Noiri and Jafari studied the notion of (0, s-continuous functions due to Thompson [Proc. Amer. Math. Soc. 60 (1976) 335-338]. In this paper, a new generalization of (0, s-continuity which is called (gamma, s)-continuity is introduced and studied. Furthermore, characterizations, basic properties, preservation theorems of (gamma,s)- continuous functions and relationships between (gamma, s)-continuous functions and the other types of functions are investigated and obtained.
9
Content available remote On gamma alfa-continuous functions
Ekici E., Noiri T.
Demonstratio Mathematica
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2005
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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.
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