Volume
7, No.
3,
September
2014
Articles 


Subsets in Terms of Ψ_{H}
In this paper, we study the properties of Ψ_{H}Asets and Ψ_{H}Csets introduced by Kim and Min. Also, we characterize these sets in terms of strongly μcodense hereditary classes.


V. Renukadevi
P. Vimaladevi
JJMS, 2014,
7(3), 171184

Complement Graphs for Zero  Divisors of C(X)
Let X be a completely regular Hausdorff space and let C(X) be the ring of all continuous real valued functions defined on X. The complement graph for the zerodivisors in C(X) is a simple graph in which two zerodivisor functions are adjacent if their product is nonzero.
In this article, the complement graph for the zerodivisor graph of C(X) and its line graph are studied. It is shown that if X has more than 2 points, then these graphs are connected with radius 2, and diameter less than or equal to 3. The girth is also calculated for them to be 3, and it is shown that they are always triangulated and hypertriangulated. Bounds for the dominating number and clique number are also found for them in terms of the density number of X. 

Ghada Alafifi
Emad Abu Osba
JJMS, 2014,
7(3), 185205

On
DContinuous
Functions
and
its
Some
Properties
In this
paper,
we
introduce
a new
class of
continuous
functions
called
Dcontinuous
functions
by
utilizing
Dclosed
sets. We
study
their
properties
in
topological
space.
It turns
out,
among
others,
the
Dcontinuous
is
weaker
than
perfect
continuity
and
stronger
than
both gpcontinuity
and
πgpcontinuity.


J. Antony
Rex Rodrigo
K. Dass
JJMS,
2014, 7(3),
207231

Cyclic
Contractions
in
θComplete
Partial
Cone
Metric
Spaces
and
Fixed
Point
Theorems
In this
paper, we
introduce
the
generalized
cyclic
contractions
on
θcomplete
partial cone
metric
spaces and
prove a
fixed point
result in
such spaces
without
assuming the
normality of
cone. Our
result
generalizes
some known
results from
metric and
cone metric
spaces in
θcomplete
cone metric
spaces. For
illustration
examples are
provided.


S.K.
Malhotra
Satish
Shukla
J.B. Sharma
JJMS,
2014, 7(3),
233246

A
Generalized
Bivariate
Geometric
Distribution
Based on
an Urn
Model
with
Stochastic
Replacement
A
Generalized
Bivariate
Geometric
Distribution
(GBGD)
for
explaining
data
arisen
from
fourfold
sampling
has been
obtained
through
an
urnmodel
with
stochastic
replacement.
The
marginal
distributions
of this
generalized
distribution,
as in
the case
of the
Bivariate
Geometric
Distribution
(BGD),
are the
geometric
distributions,
but its
one of
the
conditional
distributions
is the
Consul’s
(1974)
Quasi
Binomial
Distribution
(QBD),
in place
of
binomial
distribution
in the
BGD. The
moments
of the
first
and
second
orders
of the
GBGD
have
been
obtained.
As the
QBD has
been
found to
possess
tremendous
capability
to fit
to
discrete
datasets
of
various
nature,
it is
expected
that the
obtained
GBGD
would
cover a
wide
range of
datasets.


Rama Shanker
A. Mishra
JJMS,
2014, 7(3),
247256

