1
1735-4463
ACECR at Tarbiat Modares University
924
Special
On (Semi-) Edge-primality of Graphs
Shiu
W.-C.
^{
b
}
Lau
G.-C.
^{
c
}
Lee
S.-M.
^{
d
}
^{
b
}Hong Kong Baptist University
^{
c
}Universiti Teknologi MARA （Segamat Campus)
^{
d
}Retired Prof of San Jose State University
1
9
2017
12
2
1
14
05
07
2016
25
01
2017
Let $G= (V,E)$ be a $(p,q)$-graph. A bijection $f: Eto{1,2,3,ldots,q }$ is called an edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ where $f^+(u) = sum_{uwin E} f(uw)$. Moreover, a bijection $f: Eto{1,2,3,ldots,q }$ is called a semi-edge-prime labeling if for each edge $uv$ in $E$, we have $GCD(f^+(u),f^+(v))=1$ or $f^+(u)=f^+(v)$. A graph that admits an edge-prime (or a semi-edge-prime) labeling is called an edge-prime (or a semi-edge-prime) graph. In this paper we determine the necessary and/or sufficient condition for the existence of (semi-) edge-primality of many family of graphs.
653
General
A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
Parsaeitabar
Z.
^{
e
}
Nazemi
A. R.
^{
f
}
^{
e
}Shahrood University
^{
f
}Shahrood University
1
9
2017
12
2
15
34
28
11
2014
03
01
2017
In this paper, we use a numerical method involving collocation method with third B-splines as basis functions for solving a class of singular initial value problems (IVPs) of Lane--Emden type equation. The original differential equation is modified at the point of singularity. The modified problem is then treated by using B-spline approximation. In the case of non-linear problems, we first linearize the equation using quasilinearization technique and the resulting problem is solved by a third degree B-spline function. Some numerical examples are included to demonstrate the feasibility and the efficiency of the proposed technique. The method is easy to implement and produces accurate results. The numerical results are also found to be in good agreement with the exact solutions.
685
General
Ordered Krasner Hyperrings
Omidi
S.
^{
g
}
Davvaz
B.
^{
h
}
^{
g
}Yazd University
^{
h
}Yazd University
1
9
2017
12
2
35
49
11
02
2015
21
06
2017
In this paper we introduce the concept of Krasner hyperring $(R,+,cdot)$together with a suitable partial order relation $le $.xle y$. Also we consider some Krasner hyperrings and define a binary relation on them such that to become ordered Krasner hyperrings. By using the notion of pseudoorder on an ordered Krasner hyperring $(R,+,cdot,le)$, we obtain an ordered ring. Moreover, we study some properties of ordered Krasner hyperrings.
661
Special
A Numerical Method For Solving Ricatti Differential Equations
Masjed-Jamei
M.
^{
i
}
Salehi Shayegan
A. H.
^{
j
}
^{
i
}K. N. Toosi University of Technology
^{
j
}K. N. Toosi University of Technology
1
9
2017
12
2
51
71
16
12
2014
06
11
2016
By adding a suitable real function on both sides of the quadratic Riccati differential equation, we propose a weighted type of Adams-Bashforth rules for solving it, in which moments are used instead of the constant coefficients of Adams-Bashforth rules. Numerical results reveal that the proposed method is efficient and can be applied for other nonlinear problems.
666
Special
Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms
Alimohammady
M.
^{
k
}
Ramazannejad
M.
^{
l
}
Bagheri
Z.
^{
m
}
Shahkoohi
R. J.
^{
n
}
^{
k
}Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran, 47416-1468.
^{
l
}Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran, 47416-1468.
^{
m
}Azadshahr Branch, Islamic Azad University
^{
n
}Aliabad Katoul Branch Islamic Azad University,
1
9
2017
12
2
73
99
26
12
2014
06
09
2016
In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monotone operators.
690
General
On the $s^{th}$ Derivative of a Polynomial-II
Mir
A.
^{
o
}
Dawood
Q.M.
^{
p
}
Dar
B.
^{
}
^{
o
}University of Kashmir
^{
p
}University of Kashmir
^{
}University of Kashmir
1
9
2017
12
2
101
109
26
02
2015
20
01
2016
The paper presents an $L^{r}-$ analogue of an inequality regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle of arbitrary radius but greater or equal to one. Our result provides improvements and generalizations of some well-known polynomial inequalities.
739
Special
Sufficient Inequalities for Univalent Functions
Kargar
R.
^{
}
Ebadian
A.
^{
}
Sokol
J.
^{
}
^{
}Urmia Branch, Islamic Aza d University
^{
}Payame Noor University, Tehran.
^{
}University of Rzesz ́o
1
9
2017
12
2
111
116
23
06
2015
19
04
2016
In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.
827
Special
Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones
Ayaseh
D.
^{
}
Ranjbari
A.
^{
}
^{
}University of Tabriz
^{
}University of Tabriz
1
9
2017
12
2
117
125
02
01
2016
09
07
2016
In this paper, we define the almost uniform convergence and
the almost everywhere convergence for cone-valued functions with respect
to an operator valued measure. We prove the Egoroff theorem for Pvalued functions and operator valued measure θ : R → L(P, Q), where R
is a σ-ring of subsets of X≠ ∅, (P, V) is a quasi-full locally convex cone
and (Q, W) is a locally convex complete lattice cone.
697
General
Order Almost Dunford-Pettis Operators on Banach Lattices
Ardakani
H.
^{
}
Modarres Mosadegh
S. M. S.
^{
}
^{
}Yazd University
^{
}Yazd University
1
9
2017
12
2
127
139
18
03
2015
12
01
2016
By introducing the concepts of order almost Dunford-Pettis and almost weakly limited operators in Banach lattices, we give some properties of them related to some well known classes of operators, such as, order weakly compact, order Dunford-Pettis, weak and almost Dunford- Pettis and weakly limited operators. Then, we characterize Banach lat- tices E and F on which each operator from E into F that is order almost Dunford-Pettis and weak almost Dunford-Pettis is an almost weakly lim- ited operator.
845
General
Left Annihilator of Identities Involving Generalized Derivations in Prime Rings
Dhara
B.
^{
}
Pradhan
K.G.
^{
}
Tiwari
Sh.K.
^{
}
^{
}Belda College
^{
}Belda College
^{
}IIT- Delhi
1
9
2017
12
2
141
153
30
01
2016
17
05
2017
Let $R$ be a prime ring with its Utumi ring of quotients $U$, $C=Z(U)$ the extended centroid of $R$, $L$ a non-central Lie ideal of $R$ and $0neq a in R$. If $R$ admits a generalized derivation $F$ such that $a(F(u^2)pm F(u)^{2})=0$ for all $u in L$, then one of the following holds: begin{enumerate}
item there exists $b in U$ such that $F(x)=bx$ for all $x in R$, with $ab=0$; item $F(x)=mp x$ for all $x in R$; item char $(R)=2$ and $R$ satisfies $s_4$;item char $(R) neq 2$, $R$ satisfies $s_4$ and there exists $bin U$ such that $F(x)=bx$ for all $x in R$.
1226
General
ABSTRACTS IN PERSIAN Vol.12, No.2
Name of Authors In This Volume
^{
}
^{
}IJMSI, Tarbiat Modares University
1
9
2017
12
2
155
165
03
12
2017
03
12
2017
Please see the full text contains the Pesian abstracts for this volume.