Latest
Issue
Volume
13, No.
4,
December 2020
Articles 


A Radius
Problem for
a certain
Class of
Schlicht
Functions
In this work
we apply a
lemma of
Tuan and Anh
[5] to solve
a radius
problem for
certain
class of
schlicht
functions
defined by a
product of
expressions
having
geometric
meaning.
Many
interesting
consequences
of the
result are
derived for
some well
known
classes of
functions,
most
especially
the novel
radius of
convexity of
order 1/2
for
functions of
bounded
turning in
the unit
disk z <
1. 

K. O. Babalola
F. M. Jimoh
JJMS,
2020, 13(4),
477485

As a
coloring
analogue
of
different
Zagreb
indices,
in
the
recent
literature,
the
notion
of
chromatic
Zagreb
indices
has
been
introduced
and
studied
for
some
basic
graph
classes
in
trees.
In
this
paper,
we
study
the
chromatic
Zagreb
indices
and
chromatic
irregularity
indices
of
some
special
classes
of
graphs
called
Mycielski
graphs
of
paths
and
cycles.


Smitha Rose
Sudev
Naduvath
JJMS,
2020, 13(4),
487503

QuasiN Open Sets in (a)Topological Spaces
In this paper, we introduced the notion of N open sets in (a)topological spaces which is a set equipped with countable number of topologies. We investigated the three types of N open sets in (a)topological spaces and via them several types of compactness are introduced. Also, we introduced the notion of quasiN open sets in (a)topological spaces and related compactness.


Sheetal
Luthra
Harsh V. S.
Chauhan
B. K. Tyagi
JJMS,
2020, 13(4),
505517

Stage Structured Prey Predator Model with Maturation and Gestation Delay for Predator using Holling Type 2 Functional Response
In this paper, we have proposed a prey predator model with stage structuring in predator. We have incorporated maturation and gestation delay in predator class. The positivity, boundedness, existence of equilibrium points and local stability has been discussed. We have also obtained threshold for maturation and gestation delay. If 0 < τ1 < τ*_{1 }then E* is locally asymptotically stable and when τ1 > τ*_{1}, Hopf bifurcation exist in the absence of τ .
Further, for τ ≥ 0, E* is locally asymptotically stable if 0 < τ < τ * and for τ > τ *, it looss its stability. Finally, permanence of the system is discussed with numerical example in validation to the analytical results using MATLAB software.


Vandana
Kumari
Sudipa
Chauhan
Nisha Sharma
Sumit Kaur
Bhatia
Joydip Dhar
JJMS,
2020, 13(4),
519545

New Families of 4Total Prime Cordial Graph
Let G be a (p, q) graph. Let f : V (G) → {1, 2, . . . , k} be a map where k ϵ N is a variable and k > 1. For each edge u, v ϵ V , assign the label
gcd{f(u), f(v)}. f is called ktotal prime cordial labeling of G if tf (i) − tf (j) ≤ 1, i, j ϵ {1, 2, · · · , k} where tf (x) denotes the total number of vertices and the edges labeled with x. A graph with a ktotal prime cordial labeling is called ktotal prime cordial graph. In this paper we investigate the 4total prime cordial labeling of some graphs like triangular ladder and armed crown, subdivision of jelly fish and subdivision of triangular ladder.


R. Ponraj
J.
Maruthamani
R. Kala
JJMS,
2020, 13(4),
547563

The Vertex Detour Monophonic Number of a Graph
In this paper we determine bounds for xdetour monophonic number and characterize graphs which realize these bounds.
A connected graph of order p with vertex detour monophonic numbers either p−1 or p−2 for every vertex is characterized. It is shown that for each triple a, b and p of integers with 1 ≤ a ≤ b ≤ p − 4, there is a connected graph G of order p such that xmonophonic number is a and xdetour monophonic number is b for some vertex x in G. Also, for integers a, b and p with 1 ≤ a ≤ p − b and b ≥ 2, there is a connected graph G of order p such that xdetour monophonic number is a and monophonic eccentricity of x is b for some vertex x in G.


P. Titus
P.
Balakrishnan
JJMS,
2020, 13(4),
565583

K Kernels
in Digraphs
Formed by
some
Operations
from other
Digraphs
Let k ≥ 2 be
a positive
integer. For
a digraph D,
a set J ⊆ V
(D) is said
to be a k
kernel of D
if for every
x, y
ϵ J,
dD(x, y) ≥ k
and for
every
z
ϵ V
(D)\J, there
exists w
ϵ J
such that
dD(z, w) ≤ k
− 1. Given a
digraph D,
as a
generalisation
of the
operations
defined in
[9], we
define
operations
on D, each
of which
results in a
digraph with
a k kernel.


R. Lakshmi
D. G. Sindhu
JJMS,
2020, 13(4),
585599

On Jensen's
Additive
Inequality
for Positive
Convex
Functions of
Selfadjoint
Operators in
Hilbert
Spaces
In this
paper we
obtain some
additive
refinements
and reverses
of Jensen’s
inequality
for positive
convex/concave
functions of
selfadjoint
operators in
Hilbert
spaces.
Natural
applications
for power
and
exponential
functions
are
provided.


S. S.
Dragomir
JJMS,
2020, 13(4),
601623

Optimal
Parameter
Selection
for a
Machine
Repair
System with
Servers
Vacation and
Controlling
FPolicy
In this
article, we
proposed an
algorithm
for
determining
optimal
parameters
of the
queueing
system that
allows
server
vacation
under
Fpolicy.
The queueing
system
parameters
such as the
threshold of
the Fpolicy
and the
system
service rate
are designed
by minimize
the cost
associated
with the
queuing
system. We
first
propose an
efficient
algorithm to
determine
steadystate
probabilities
of the
system, and
second, a
nonlinear
integer
programming
problem is
formulated
to determine
optimal
system
parameters.
The
nonlinear
integer
programming
problem is
then relaxed
to a
nonlinear
optimization
and is
solved using
QuasiNewton’s
method.
Subsequently,
various
system
performance
measures are
studied for
different
system
parameters.


Umesh Kumari
D. C. Sharma
JJMS,
2020, 13(4),
625642

Bounds for
the
Coefficients
of a Class
of Analytic
Functions
Associated
with Conic
Domains
By using the
quantum
differentials,
we introduce
presumably a
new class of
analytic
functions
associated
with a conic
region and
obtained
sufficient
conditions,
bounds for
the
coefficients
of the
defined
function
class.
Furthermore,
we discussed
some
applications
for our main
results. 

K. Amarender
Reddy
K. R.
Karthikeyan
G.
Murugusundaramoorthy
JJMS,
2020, 13(4),
643657

A Proximal
Point
Algorithm
Converging
Strongly to
a Minimizer
of a Convex
Function
In this
paper, we
obtain a new
modified
proximal
point
algorithm in
the setting
of CAT(0)
spaces and
establish
some strong
convergence
results of
the proposed
algorithm.
In process,
several
relevant
results of
the existing
literature
are
generalized
and
improved.


Izhar Uddin
Chanchal
Garodia
Safeer
Hussain Khan
JJMS,
2020, 13(4),
659685

