ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
On (Semi-) Edge-primality of Graphs
1
14
EN
W.-C.
Shiu
Hong Kong Baptist University
wcshiu@hkbu.edu.hk
G.-C.
Lau
Universiti Teknologi MARA （Segamat Campus)
geeclau@yahoo.com
S.-M.
Lee
Retired Prof of San Jose State University
sinminlee@gmail.com
10.7508/ijmsi.2017.2.001
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.
Prime labeling, Edge-prime labeling, Semi-Edge-prime labeling, Bipartite graphs, Tripartite graphs.
http://ijmsi.ir/article-1-924-en.html
http://ijmsi.ir/article-1-924-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
A Third-degree B-spline Collocation Scheme for Solving a Class of the Nonlinear Lane–-Emden Type Equations
15
34
EN
Z.
Parsaeitabar
Shahrood University
parsaee.z@gmail.com
A. R.
Nazemi
Shahrood University
nazemi20042003@yahoo.com
10.7508/ijmsi.2017.2.002
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.
B-spline, Collocation method, Lane--Emden equation, Singular IVPs.
http://ijmsi.ir/article-1-653-en.html
http://ijmsi.ir/article-1-653-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
Ordered Krasner Hyperrings
35
49
EN
S.
Omidi
Yazd University
omidi.saber@yahoo.com
B.
Davvaz
Yazd University
davvaz@yazd.ac.ir
10.7508/ijmsi.2017.2.003
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.
Algebraic hyperstructure, Ordered ring, Ordered Krasner hyperring, Strongly regular relation, Pseudoorder.
http://ijmsi.ir/article-1-685-en.html
http://ijmsi.ir/article-1-685-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
A Numerical Method For Solving Ricatti Differential Equations
51
71
EN
M.
Masjed-Jamei
K. N. Toosi University of Technology
mmjamei@kntu.ac.ir
A. H.
Salehi Shayegan
K. N. Toosi University of Technology
ah.salehi@mail.kntu.ac.ir
10.7508/ijmsi.2017.2.004
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.
Riccati differential equations, Adams-Bashforth rules, Weighting factor, Nonlinear differential equations, Stirling numbers.
http://ijmsi.ir/article-1-661-en.html
http://ijmsi.ir/article-1-661-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms
73
99
EN
M.
Alimohammady
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran, 47416-1468.
amohsen@umz.ac.ir
M.
Ramazannejad
Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran, 47416-1468.
m.ramzannezhad@gmail.com
Z.
Bagheri
Azadshahr Branch, Islamic Azad University
R. J.
Shahkoohi
Aliabad Katoul Branch Islamic Azad University,
10.7508/ijmsi.2017.2.005
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.
Maximal monotone operator, Equilibrium problem, Variational inequality.
http://ijmsi.ir/article-1-666-en.html
http://ijmsi.ir/article-1-666-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
On the $s^{th}$ Derivative of a Polynomial-II
101
109
EN
A.
Mir
University of Kashmir
mabdullah_mir@yahoo.co.in
Q.M.
Dawood
University of Kashmir
B.
Dar
University of Kashmir
darbilal85@ymail.com
10.7508/ijmsi.2017.2.006
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.
Polynomial, Zeros, $s^{th}$ derivative
http://ijmsi.ir/article-1-690-en.html
http://ijmsi.ir/article-1-690-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
Sufficient Inequalities for Univalent Functions
111
116
EN
R.
Kargar
Urmia Branch, Islamic Aza d University
rkargar1983@gmail.com
A.
Ebadian
Payame Noor University, Tehran.
ebadian.ali@gmail.com
J.
Sokol
University of Rzesz ́o
jsokol@prz.edu.pl
10.7508/ijmsi.2017.2.007
In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.
Analytic, Univalent, Starlike functions, Convex functions
http://ijmsi.ir/article-1-739-en.html
http://ijmsi.ir/article-1-739-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
Egoroff Theorem for Operator-Valued Measures in Locally Convex Cones
117
125
EN
D.
Ayaseh
University of Tabriz
d_ayaseh@tabrizu.ac.ir
A.
Ranjbari
University of Tabriz
ranjbari@tabrizu.ac.ir
10.7508/ijmsi.2017.2.008
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.
Locally convex cones, Egoroff Theorem, Operator valued measure.
http://ijmsi.ir/article-1-827-en.html
http://ijmsi.ir/article-1-827-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
Order Almost Dunford-Pettis Operators on Banach Lattices
127
139
EN
H.
Ardakani
Yazd University
halimeh_ardakani@yahoo.com
S. M. S.
Modarres Mosadegh
Yazd University
smodarres@yazd.ac.ir
10.7508/ijmsi.2017.2.009
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.
Order Dunford-Pettis operator, Weakly limited operator, Almost Dunford-Pettis set.
http://ijmsi.ir/article-1-697-en.html
http://ijmsi.ir/article-1-697-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
Left Annihilator of Identities Involving Generalized Derivations in Prime Rings
141
153
EN
B.
Dhara
Belda College
basu_dhara@yahoo.com
K.G.
Pradhan
Belda College
kgp.math@gmail.com
Sh.K.
Tiwari
IIT- Delhi
shaileshiitd84@gmail.com
10.7508/ijmsi.2017.2.010
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 $x in R$.
Prime ring, Generalized derivation, Utumi quotient ring.
http://ijmsi.ir/article-1-845-en.html
http://ijmsi.ir/article-1-845-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
12
2
2017
9
1
ABSTRACTS IN PERSIAN Vol.12, No.2
155
165
EN
Name of Authors In This Volume
IJMSI, Tarbiat Modares University
Please see the full text contains the Pesian abstracts for this volume.
ABSTRACTS, PERSIAN, Vol. 12, No. 2
http://ijmsi.ir/article-1-1226-en.html
http://ijmsi.ir/article-1-1226-en.pdf