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1
Content available remote New maximal and minimal sets via βθ-open sets
Caldas M., Jafari S., Noiri T.
Fasciculi Mathematici
|
2018
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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.
2
Content available A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design
Vaidyanathan S., Jafari S., Pham V.-T., Azar A. T., Alsaadi F. E.
Archives of Control Sciences
|
2018
|
Vol. 28, No. 2
239--254
EN
A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.
3
Content available remote On semi δs-irresolute functions
Caldas M., Jafari S.
Fasciculi Mathematici
|
2017
|
Nr 58
47--55
EN
The concept of semi δs-irresolute function in topological spaces is introduced and studied. Some of their characteristic properties are considered. Also we investigate the relationships between these classes of functions and other classes of noncontinuous functions.
4
Content available remote More on weak δs-continuity in topological spaces
Jafari S., Noiri T.
Fasciculi Mathematici
|
2016
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Nr 56
99--109
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].
5
Content available remote δ-local function and its properties in ideal topological spaces
Hatir E, Al-Omari A., Jafari S.
Fasciculi Mathematici
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2014
|
Nr 53
53--64
EN
In this paper, we investigated δ-local function and its properties in ideal topological space. Moreover, the relationships other local functions such as local function [1, 3] and semi-local function [2] are investigated.
6
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].
7
Content available remote On strongly generalized pre-continuous mappings
El-Maghrabi A I, Al-Subhi B, Jafari S.
Fasciculi Mathematici
|
2012
|
Nr 48
23--34
EN
The aim of this paper is devoted to introduce and studya new class of generalized closed sets, namely strongly generalized preclosed sets which is weaker than both of preclosed sets and g* - closed sets (M.K. Kumar, 1999). Moreover, we investigate some properties such as strongly generalized precontinuous and strongly generalized preclosed maps via strongly generalized preclosedness.
8
Content available remote On contra (…)-continuous functions and strongly (…)-closed spaces
Missier S. P., Devamanoharan C., Caldas M., Jafari S.
Demonstratio Mathematica
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2012
|
Vol. 45, nr 1
187-202
EN
In [4], Dontchev introduced and investigated a new notion of continuity called contra-continuity. Recently, Jafari and Noiri ([8], [9], [10]) introduced new generalization of contra-continuity called contra-super-continuity, contra-(…)-continuity and contra-precontinuity. It is the objective of this paper to introduce and study a new class of contra-continuous functions via (…)-closed sets.
9
Content available remote Quasi δ-β-continuous functions
Rajesh N., Caldas M., Jafari S., Moshokoa S. P.
Fasciculi Mathematici
|
2011
|
Nr 46
105--113
EN
The aim of this paper is to introduce and characterize a new class of functions called quasi-δ-β-continuous functions in ideal topological spaces by using δ-β-open sets.
10
Content available remote On upper and lower faintly δ-β-continuous multifunctions
Jafari S., Noiri T., Popa V., Rajesh N.
Fasciculi Mathematici
|
2011
|
Nr 46
77--85
EN
In this paper, we introduce and study a new class of multifunctions called faintly δ-β-continuous multifunctions in topological spaces
11
Content available remote On new separation axioms in bitopological spaces
Rajesh N., Ekici E., Jafari S.
Fasciculi Mathematici
|
2011
|
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.
12
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
|
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.
13
Content available remote More on almost contra λ-continuous functions
Baker C. W., Caldas M., Jafari S., Moshokoa S. P.
Fasciculi Mathematici
|
2009
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Nr 42
17-28
EN
In 1996, Dontchev [14] introduced and investigated a new notion of non-continuity called contra-continuity. Recently, Baker et al. [6] offered a new generalization of contra-continuous functions via λ-closed sets, called almost contra λ-continuous functions. It is the objective of this paper to further study some more properties of such functions.
14
Content available remote A decomposition of α-continuity and αgs-continuity
Jafari S., Viswanathan K., Rajamanickam M.
Fasciculi Mathematici
|
2009
|
Nr 41
73-79
EN
The main purpose of this paper is to introduce the concepts of η*—sets, η*—sets, η**— continuity and η**— continuity and to obtain decomposition of α—continuity and αgs—continuity in topological spaces.
15
Content available remote A bitopological view of ϒ-open sets
Jafari S., Thivagar M. L., Ponmani S. A., Rajeswari R. R.
Fasciculi Mathematici
|
2009
|
Nr 42
53-61
EN
The aim of this paper is to introduce the ϒ -open sets in bitopological spaces and utilize them to define and characterize (i, j)ϒ -T0 spaces and a class of continuous mappings.
16
Content available remote On maps and generalized lambda alfa-sets
Caldas M., Ganster M., Jafari S., Navalagi G. B.
Demonstratio Mathematica
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2005
|
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.
17
Content available remote On semi-g-regular and semi-g-normal spaces
Ganster M., Jafari S., Navalagi G. B.
Demonstratio Mathematica
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2002
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Vol. 35, nr 2
415-421
EN
The aim of this paper is to introduce and study two new classes of spaces, called semi-g-regular and semi-g-normal spaces. Semi-g-regularity and semi-g-normality are separation properties obtained by utilizing semi-generalized closed sets. Recall that a subset A of a topological space (X, r) is called semi-generalized closed, briefly sg-closed, if the semi-closure of A C X is a subset of U C X whenever A is a subset of U and U is semi-open in (X,r).
18
Content available remote On strongly semi-regular spaces
Jafari S., Noiri T.
Demonstratio Mathematica
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2001
|
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.
19
Content available remote On almost weakly continuous functions
Jafari S., Noiri T.
Demonstratio Mathematica
|
1998
|
Vol. 31, nr 2
437-443
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