1
1735-4463
ACECR at Tarbiat Modares University
802
Special
Multipliers of pg-Bessel sequences in Banach spaces
Abdollahpour
M. R.
Najati
A.
^{
c
}
Gavruta
P.
^{
d
}
^{
c
}Department of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili
^{
d
}Department of Mathematics, Politehnica University of TimiΒΈsoara, PiatΒΈa Victoriei
1
10
2020
15
2
1
12
17
11
2015
22
05
2020
In this paper, we introduce $(p,q)g-$Bessel multipliers in Banach spaces and we show that under some conditions a $(p,q)g-$Bessel multiplier is invertible. Also, we show the continuous dependency of $(p,q)g-$Bessel multipliers on their parameters.
859
General
Characteristics of Common Neighborhood Graph under Graph Operations and on Cayley Graphs
Sedghi
Sh.
^{
e
}
Lee
D.-W.
^{
f
}
Shobe
N.
^{
g
}
^{
e
}Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
^{
f
}Department of Mathematics, Yonsei University, Seoul 120-749, Republic of Korea.
^{
g
}Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran
1
10
2020
15
2
13
20
07
03
2016
27
03
2020
Let G(V;E) be a graph. The common neighborhood graph (congraph) of G is a
graph with vertex set V , in which two vertices are adjacent if and only if they have a
common neighbor in G. In this paper, we obtain characteristics of congraphs under
graph operations; Graph :::::union:::::, Graph cartesian product, Graph tensor product,
and Graph join, and relations between Cayley graphs and its congraphs.
1088
General
On the Hyponormal Property of Operators
Nabavi Sales
S. M. S.
^{
h
}
^{
h
}Department of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran
1
10
2020
15
2
21
30
22
05
2017
04
05
2020
Let $T$ be a bounded linear operator on a Hilbert space $mathscr{H}$. We say that $T$ has the hyponormal property if there exists a function $f$, continuous on an appropriate set so that $f(|T|)geq f(|T^ast|)$. We investigate the properties of such operators considering certain classes of functions on which our definition is constructed. For such a function $f$ we introduce the $f$-Aluthge transform, $tilde{T}_{f}$. Given two continuous functions $f$ and $g$ with the property $f(t)g(t)=t$, we also introduce the $(f,g)$-Aluthge transform, $tilde{T}_{(f,g)}$. The features of these transforms are discussed as well.
1131
General
Approximate Solution of Linear Volterra-Fredholm Integral Equations and Systems of Volterra-Fredholm Integral Equations Using Taylor Expansion Method
Didgar
M.
^{
i
}
Vahidi
A.R.
^{
j
}
^{
i
}Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
^{
j
}Department of Mathematics, College of Science, Yadegar-e-Emam Khomeyni (RAH) Shahr-e-Rey Branch, Islamic Azad University , Tehran, Iran.
1
10
2020
15
2
31
50
13
08
2017
13
02
2018
In this study, a new application of Taylor expansion is considered to estimate the solution of Volterra-Fredholm integral equations (VFIEs) and systems of Volterra-Fredholm integral equations (SVFIEs). Our proposed method is based upon utilizing the nth-order Taylor polynomial of unknown function at an arbitrary point and employing integration method to convert VFIEs into a system of linear equations with respect to unknown function and its derivatives. An approximate solution can be easily determined by solving the obtained system. Furthermore, this method leads always to the exact solution if the exact solution is a polynomial function of degree up to n. Also, an error analysis is given. In addition, some problems are provided to demonstrate the validity and applicability of the proposed method.
1133
Special
On Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions
K. Wanas
A
^{
k
}
H. Majeed
A.
^{
l
}
^{
k
}Department of Mathematics, College of Science, Baghdad University
^{
l
}Department of Mathematics, College of Science, Baghdad University
1
10
2020
15
2
51
60
17
08
2017
26
06
2018
The purpose of the present paper is to introduce and investigate two new subclasses π¦π΄π(π,πΎ;πΌ) and π¦∗π΄π(π,πΎ;π½) of π΄π consisting of analytic and π-fold symmetric bi-univalent functions defined in the open unit disk π. We obtain upper bounds for the coefficients |ππ+1| and |ππ| for functions belonging to these subclasses. Many of the well-known and new results are shown to follow as special cases of our results.
1135
General
Lommel Matrix Functions
Shehata
A.
^{
m
}
^{
m
}Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
1
10
2020
15
2
61
76
21
08
2017
15
01
2018
The main objective of this work is to develop a pair of Lommel matrix functions suggested by the hypergeometric matrix functions and some of their properties are studied. Some properties of the hypergeometric and Bessel matrix functions are obtained.
1144
General
Uniform Number of a Graph
Kumar
A.
^{
n
}
Mohankumar
E.
^{
o
}
^{
n
}Amrita Vishwa Vidyapeetham, Amrita University, India.
^{
o
}Amrita Vishwa Vidyapeetham, Amrita University, India.
1
10
2020
15
2
77
99
03
09
2017
06
07
2019
We introduce the notion of uniform number of a graph. The uniform number of a connected graph $G$ is the least cardinality of a nonempty subset $M$ of the vertex set of $G$ for which the function $f_M: M^crightarrow mathcal{P}(X) - {emptyset}$ defined as $f_M(x) = {D(x, y): y in M}$ is a
constant function, where $D(x, y)$ is the detour distance between $x$ and $y$ in $G$ and $mathcal{P}(X)$
is power set of $X = {D(x_i, x_j): x_i neq x_j}.$ We obtain some basic results and compute the newly
introduced graph parameter for some specific graphs.
1140
Special
Roman k-Tuple Domination in Graphs
P. Kazemi
A.
^{
p
}
^{
p
}U. of Mohaghegh Ardabili
1
10
2020
15
2
101
115
29
08
2017
08
01
2020
For any integer $kgeq 1$ and any graph $G=(V,E)$ with minimum degree at least $k-1$, we define a function $f:Vrightarrow {0,1,2}$ as a Roman $k$-tuple dominating function on $G$ if for any vertex $v$ with $f(v)=0$ there exist at least $k$ and for any vertex $v$ with $f(v)neq 0$ at least $k-1$ vertices in its neighborhood with $f(w)=2$. The minimum weight of a Roman $k$-tuple dominating function $f$ on $G$ is called the Roman $k$-tuple domination number of the graph where the weight of $f$ is $f(V)=sum_{vin V}f(v)$.
In this paper, we initiate to study the Roman $k$-tuple domination number of a graph, by giving some sharp bounds for the Roman $k$-tuple domination number of a garph, the Mycieleskian of a graph, and the corona graphs. Also finding the Roman $k$-tuple domination number of some known graphs is our other goal. Some of our results extend these one given by Cockayne and et al. cite{CDHH04} in 2004 for the Roman domination number.
1145
General
A Note on Belief Structures and S-approximation Spaces
Shakiba
A.
^{
}
Kafshdar Goharshady
A.
^{
}
Hooshmandasl
M. R.
^{
}
Alambardar Meybodi
M.
^{
}
^{
}Vali-e-Asr University of Rafsanjan
^{
}Institute of Science and Technology Austria (IST Austria)
^{
}University of Mohaghegh Ardabili
^{
}University of Isfahan
1
10
2020
15
2
117
128
04
09
2017
29
03
2020
We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempster's multivalued mappings and lower and upper probabilities, and have close relations to rough sets. We show that an S-approximation space, satisfying a monotonicity condition, can induce a natural belief structure which is a fundamental block in evidence theory. We also demonstrate that one can induce a natural belief structure on one set, given a belief structure on another set, if the two sets are related by a partial monotone S-approximation space.
1146
Special
Stability and Bifurcation of an SIS Epidemic Model with Saturated Incidence Rate and Treatment Function
kamel Naji
R.
^{
}
Adnan Thirthar
A.
^{
}
^{
}Department of Mathematics, College of Science,University of Baghdad, Baghdad, Iraq
^{
}Department of Mathematics, College of Science,University of Baghdad, Baghdad, Iraq
1
10
2020
15
2
129
146
06
09
2017
21
03
2018
In this paper an SIS epidemic model with saturated incidence rate and treatment func- tion is proposed and studied. The existence of all feasible equilibrium points is discussed. The local stability conditions of the disease free equilibrium point and endemic equilibrium point are established with the help of basic reproduction number.However the global stabili- ty conditions of these equilibrium points are established using Lyapunov method. The local bifurcation near the disease free equilibrium point is investigated. Hopf bifurcation condi- tion, which may occurs around the endemic equilibrium point is obtained. The conditions of backward bifurcation and forward bifurcation near the disease free equilibrium point are also determined. Finally,numerical simulations are given to investigate the global dynamics of the system and con rm the obtained analytical results.
1150
General
Existence and Iterative Approximations of Solution for Generalized Yosida Approximation Operator
Akram
M.
^{
}
^{
}Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 107, KSA
1
10
2020
15
2
147
161
12
09
2017
14
02
2018
In this paper, we introduce and study a generalized Yosida approximation operator associated to H(·, ·)-co-accretive operator and discuss some of its properties. Using the concept of graph convergence and resolvent operator, we establish the convergence for generalized Yosida approximation operator. Also, we show an equivalence between graph convergence for H(·, ·)-co-accretive operator and generalized Yosida approximation operator. We also furnish an illustrative example to demonstrate our results. Furthermore, we suggest an iterative algorithm to solve a Yosida inclusion problem under some mild conditions in q-uniformly smooth Banach space and discuss the convergence and uniqueness of the solution.
1154
General
The Numerical Solution of Some Optimal Control Systems with Constant and Pantograph Delays via Bernstein Polynomials
Ghaderi
N.
^{
}
Farahi
M. H.
^{
}
^{
}ferdowsi university of mashhad
^{
}ferdowsi university of mashhad
1
10
2020
15
2
163
181
17
09
2017
01
05
2018
In this paper, we present a numerical method based on Bernstein polynomials to solve optimal control systems with constant and pantograph delays. Constant or pantograph delays may appear in state-control or both. We derive delay operational matrix and pantograph operational matrix for Bernstein polynomials then, these are utilized to reduce the solution of optimal control with constant and pantograph delay to the solution of nonlinear programming. In truth, the principal problem can be transferred to the quadratic programming problem. Some examples are included to demonstrate the validity and applicability of the technique.
1179
Special
Sharply $(n-2)$-transitive Sets of Permutations
N. Iradmusa
M.
^{
}
^{
}Shahid Beheshti University
1
10
2020
15
2
183
190
12
10
2017
03
12
2018
Let $S_n$ be the symmetric group on the set $[n]={1, 2, ldots, n}$. For $gin S_n$ let $fix(g)$ denote the number of fixed points of $g$. A subset $S$ of $S_n$ is called $t$-emph{transitive} if for any two $t$-tuples $(x_1,x_2,ldots,x_t)$ and $(y_1,y_2,ldots ,y_t)$ of distinct elements of $[n]$, there exists $gin S$ such that $x_{i}^g=y_{i}$ for any $1leq ileq t$ and additionally $S$ is called emph{sharply $t$-transitive} if for any given pair of $t$-tuples, exactly one element of $S$ carries the first to the second. In addition, a subset $S$ of $S_n$ is called $t$-intersecting if $fix(h^{-1}g)geq t$ for any two distinct permutations $h$ and $g$ of $S$. In this paper, we prove that there are only two sharply $(n-2)$-transitive subsets of $S_n$ and finally we establish some relations between sharply $k$-transitive subsets and $t$-intersecting subsets of $S_n$ where $k,tin mathbb{Z}$ and $0leq tleq kleq n$.
1181
General
Some Properties of Vector-valued Lipschitz Algebras
Azizi
M.
^{
}
Biyabani
E.
^{
}
Rejali
A.
^{
}
^{
}Department of Mathematics, University of Isfahan, Isfahan, Iran.
^{
}Department of Mathematics, University of Isfahan, Isfahan, Iran.
^{
}Department of Mathematics, Islamic Azad University, majlesi Branch, Isfahan, Iran
1
10
2020
15
2
191
205
15
10
2017
18
12
2018
Let $(X,d)$ be a metric space and $Jsubseteq (0,infty)$ be
a nonempty set. We study the structure of the arbitrary intersection of
vector-valued Lipschitz algebras, and define a special Banach subalgebra of
$cap{Lip_gamma (X,E):gammain J}$, where $E$ is a Banach algebra, denoted by $ILip_J (X,E)$. Mainly,
we investigate $C-$character amenability of $ILip_J (X,E)$.
2014
Special
ABSTRACTS IN PERSIAN Vol.15, No.2
in this Volume
The Name of Authors
^{
}
^{
}Tarbiat Modares University (TMU)
1
10
2020
15
2
207
221
15
11
2020
15
11
2020
Please see the full text contains the Pesian abstracts for this volume.