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Volume
11, No.
2,
June
2018
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Articles |
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Remarks on
Fuzzy
Minimal
Groups
In this
paper, we
introduce
and
investigate
some
properties
of fuzzy
minimal
groups. It
is shown
that, the
right and
the left
translations
are
relatively
fuzzy
minimal
continuous.
Moreover, we
prove that
the inverse
image of a
fuzzy
minimal
group under
a fuzzy
minimal
homeomorphism
is also a
fuzzy
minimal
group.
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Mehdi Roohi
JJMS,
2018, 11(2),93-105
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New Results on Behaviors of Functional Voltera Integro-Differential Equations with Multiple Time-Lags
The
paper
deals
with
a
non-linear
Volterra
integro-differential
equation
(NVIDE)
with
multiple
time-lags.
Conditions
are
obtained
which
are
sufficient
for
stability
(S),
boundedness
(B),
globally
asymptotically
stability
(GAS)
of
solutions,
and
for
every
solution
x of
the
given
(NVIDE)
to
be
belong
to
the
solutions
classes,
such
as L1[0,1)
and
L2[0,1).
We
prove
some
results
on
stability,
boundedness,
global
asymptotic
stability,
integrability
and
square
integrability
properties
of
solutions
of
the
considered
(NVIDE).
The
technique
of
the
proofs
involves
to
construct
some
suitable
Lyapunov
functionals
(LFs).
The
given
conditions
involve
nonlinear
generalizations
and
extensions
of
those
conditions
found
in
the
literature.
The
obtained
results
are
new
and
complement
that
found
in
the
literature.
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Cemil Tunç
Osman
Tunç
JJMS,
2018, 11(2),107-124
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Fixed Points in an Intuitionistic Menger Space
In this paper, we established common xed point theorems for two pairs of self maps by using the new concept of weakly subsequential continuity (wsc) with compatibility of type (E) in an Intuitionistic Menger space (briefly IM space). We deduce important results in this line by restricting the number of mappings involved.
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Rajinder
Sharma
Rakesh Batra
JJMS,
2018, 11(2),125-141
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3-Difference Cordiality of Some Special Graphs
Let G be a (p,q) graph. Let f : V (G)→{1,2,...,k} be a map where k is an integer 2<k<p. For each edge uv, assign the label |f(u) - f(v)|. f is called k-difference cordial labeling of G if |vf (i) - vf (j)|<1 and |ef (0) - ef (1)|<1 where vf (x) denotes the number of vertices labelled with x, ef (1) and ef (0) respectively denote the number of edges labelled with 1 and not labelled with 1. A graph with a k-difference cordial labeling is called a k-difference cordial graph. In this paper we investigate 3-difference cordial labeling behavior of ladder, book, dumbbell graph, and umbrella graph.
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R. Ponraj
M. Maria
Adaickalam
R.
Kala
JJMS, 2018,
11(2),143-166
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Some Results on Λ-Banach Frames for Operator Spaces
In this paper, a new notion of Λ-Banach frame is introduced as a generalization of retro Banach frame for the space of bounded linear operators.
Some results regarding characterizations and construction of Λ-Banach frames are presented. We extend results for retro Banach frame to the class of Λ-Banach frame. In the sequel, finite sum of Λ-Banach frames for operator spaces has been discussed. Finally, some perturbation and stability results on Λ-Banach frames have been given.
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Mayur Puri
Goswami
H. K. Pathak
JJMS, 2018,
11(2),167-192
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