ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
1
10
EN
A.
Hashemi Borzabadi
Damghan University
borzabadi@du.ac.ir
M.
Heidari
Damghan University
m.heidari27@gmail.com
10.7508/ijmsi.2015.02.001
In this paper, a reliable iterative approach, for solving a wide range of linear and nonlinear Volterra-Fredholm integral equations is established. First the approach considers a discretized form of the integral terms where considering some conditions on the kernel of the integral equation it is proved that solution of the discretized form converges to the exact solution of the problem. Then the solution of the discretized form is approximated by an iterative scheme. Comparison of the approximate solution with exact solution shows that the used approach is easy and practical for some classes of linear and nonlinear Volterra-Fredholm integral equations.
Volterra-Fredholm integral equation, Discretization, Approximation.
http://ijmsi.ir/article-1-793-en.html
http://ijmsi.ir/article-1-793-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
Mangasarian-Fromovitz and Zangwill Conditions For Non-Smooth Infinite Optimization problems in Banach Spaces
11
22
EN
N.
Kanzi
Payame Noor University
nad.kanzi@gmail.com
10.7508/ijmsi.2015.02.002
In this paper we study optimization problems with infinite many inequality constraints on a Banach space where the objective function and the binding constraints are Lipschitz near the optimal solution. Necessary optimality conditions and constraint qualifications in terms of Michel-Penot subdifferential are given.
Infinite programming, Constraint qualification, Optimality conditions, Michel-Penot subdifferential.
http://ijmsi.ir/article-1-421-en.html
http://ijmsi.ir/article-1-421-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
A Generalized Singular Value Inequality for Heinz Means
23
27
EN
A.
Sheikh Hosseini
Shahid Bahonar univercity
alemehsheikhhoseiny@yahoo.com
10.7508/ijmsi.2015.02.003
In this paper we will generalize a singular value inequality that was proved before. In particular we obtain an inequality for numerical radius as follows: begin{equation*} 2 sqrt{t (1-t)} omega(t A^{nu}B^{1-nu}+(1-t)A^{1-nu}B^{nu}) leq omega(t A + (1- t) B), end{equation*} where, $ A $ and $ B $ are positive semidefinite matrices, $ 0 leq t leq 1 $ and $ 0 leq nu leq frac{3}{2}.$
Matrix monotone functions, Numerical radius, Singular values, Unitarily invariant norms.
http://ijmsi.ir/article-1-464-en.html
http://ijmsi.ir/article-1-464-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
Free Extended BCK-Module
29
43
EN
R. A.
Borzooei
Department of Mathematics, Shahid Beheshti University
borzooei@sbu.ac.ir
S.
Saidi Goraghani
Department of Mathematics, Islamic Azad University of Central Tehran
SiminSaidi@yahoo.com
10.7508/ijmsi.2015.02.004
In this paper, by considering the notion of extended BCK-module, we define the concepts of free extended BCK-module, free object in category of extended BCK-modules and we state and prove some related results. Specially, we define the notion of idempotent extended BCK-module and we get some important results in free extended BCK-modules. In particular, in category of idempotent extended BCK-modules, we give a method to make a free object on a nonempty set and in BCK-algebra of order 2, we give a method to make a basis for unitary extended BCK-modules. Finally, we define the notions of projective and productive modules and we investigate the relation between free modules and projective modules. In special case, we state the relation between free modules and productive modules.
BCK-algebra, Extended BCK-module, Free extended BCK-module.
http://ijmsi.ir/article-1-470-en.html
http://ijmsi.ir/article-1-470-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
Lie Ideals and Generalized Derivations in Semiprime Rings
45
54
EN
V. De
Filippis
University of Messina
defilippis@unime.it
N. Ur
Rehman
Department of Mathemaics, Faculty of Science, Taibah University
rehman100@gmail.com
A. Z.
Ansari
Department of Mathematics, Faculty of Science
ansari.abuzaid@gmail.com
10.7508/ijmsi.2015.02.005
Let R be a 2-torsion free ring and L a Lie ideal of R. An additive mapping F : R ! R is called a generalized derivation on R if there exists a derivation d : R to R such that F(xy) = F(x)y + xd(y) holds for all x y in R. In the present paper we describe the action of generalized derivations satisfying several conditions on Lie ideals of semiprime rings.
Derivations, Generalized Derivations, Semiprime Rings, Lie Ideals.
http://ijmsi.ir/article-1-481-en.html
http://ijmsi.ir/article-1-481-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
p-Analog of the Semigroup Fourier-Steiltjes Algebras
55
66
EN
M.
Shams Yousefi
guilan-university
m.shams@guilan.ac.ir
10.7508/ijmsi.2015.02.006
In this paper we define the $p$-analog of the restericted reperesentations and also the $p$-analog of the Fourier--Stieltjes algebras on the inverse semigroups . We improve some results about Herz algebras on Clifford semigroups. At the end of this paper we give the necessary and sufficient condition for amenability of these algebras on Clifford semigroups.
Restricted fourier–Stieltjes algebras, Restricted inverse semigroup, Restricted representations, QSLp-spaces, p-Analog of the Fourier–Stieltjes algebras.
http://ijmsi.ir/article-1-413-en.html
http://ijmsi.ir/article-1-413-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
Generalized Douglas-Weyl Finsler Metrics
67
75
EN
M. H.
Emamian
University of Qom
hosein.emamian@gmail.com
A.
Tayebi
University of Qom
10.7508/ijmsi.2015.02.007
In this paper, we study generalized Douglas-Weyl Finsler metrics. We find some conditions under which the class of generalized Douglas-Weyl (alpha, beta)-metric with vanishing S-curvature reduce to the class of Berwald metrics.
Generalized Douglas-Weyl metrics, S-curvature.
http://ijmsi.ir/article-1-533-en.html
http://ijmsi.ir/article-1-533-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
On the Elliptic Curves of the Form $y^2 = x^3 − pqx$
77
86
EN
H.
Daghigh
University of Kashan
hassan@kashanu.ac.ir
S.
Didari
University of Kashan
somayeh_didari@yahoo.com
10.7508/ijmsi.2015.02.008
By the Mordell- Weil theorem, the group of rational points on an elliptic curve over a number field is a finitely generated abelian group. This paper studies the rank of the family Epq:y2=x3-pqx of elliptic curves, where p and q are distinct primes. We give infinite families of elliptic curves of the form y2=x3-pqx with rank two, three and four, assuming a conjecture of Schinzel and Sierpinski is true.
Diophantine equation, Elliptic curves, Mordell weil group, Selmer group, Birch and Swinnerton- dyer conjecture, Parity conjecture.
http://ijmsi.ir/article-1-570-en.html
http://ijmsi.ir/article-1-570-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
Generalized Degree Distance of Strong Product of Graphs
87
98
EN
K.
Pattabiraman
Annamalai University
pramank@gmail.com
P.
Kandan
Annamalai University
kandan2k@gmail.com
10.7508/ijmsi.2015.02.009
In this paper, the exact formulae for the generalized degree distance, degree distance and reciprocal degree distance of strong product of a connected and the complete multipartite graph with partite sets of sizes m0, m1, . . . , mr&minus1 are obtained. Using the results obtained here, the formulae for the degree distance and reciprocal degree distance of the closed and open fence graphs are computed.
Generalized degree distance, Degree distance, Reciprocal degree distance, Strong product.
http://ijmsi.ir/article-1-600-en.html
http://ijmsi.ir/article-1-600-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
$EL^2$–hyperstructures Derived from (Partially) Quasi Ordered Hyperstructures
99
114
EN
S. H.
Ghazavi
Yazd University
hossein ghazavi@yahoo.com
S. M.
Anvariyeh
Yazd university
anvariyeh@yazd.ac.ir
S.
Mirvakili
Department of Mathematics, Payame Noor Universtiy,
saeed mirvakili@pnu.ac.ir
10.7508/ijmsi.2015.02.010
In this paper, we introduce a new class of (semi)hypergroup from a given (partially) quasi-ordered (semi)hypergroup as a generalization of {it "$El$--hyperstructures"}. Then, we study some basic properties and important elements belong to this class.
Ends lemma, El–hyperstructure, (semi)Hypergroup, Partial ordering, Quasi ordering.
http://ijmsi.ir/article-1-612-en.html
http://ijmsi.ir/article-1-612-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
On the Computational Complexity of the Domination Game
115
122
EN
S.
Klavzar
University of Ljubljanac
sandi.klavzar@fmf.uni-lj.si
G.
Kosmrlj
Institute of Mathematics, Physics and Mechanics, Ljubljana
gasper.kosmrlj@student.fmf.uni-lj.si
S.
Schmidt
Joseph Fourier’s University
simon.schmidt@ujf-grenoble.fr
10.7508/ijmsi.2015.02.011
The domination game is played on an arbitrary graph $G$ by two players, Dominator and Staller. It is known that verifying whether the game domination number of a graph is bounded by a given integer $k$ is PSPACE-complete. On the other hand, it is showed in this paper that the problem can be solved for a graph $G$ in $mathcal O(Delta(G)cdot |V(G)|^k)$ time. In the special case when $k=3$ and the graph $G$ considered has maximum diameter, the complexity is improved to $mathcal O (|V(G)|cdot |E(G)|+Delta(G)^3)$.
Domination game, Game domination number, Complexity of algorithms.
http://ijmsi.ir/article-1-794-en.html
http://ijmsi.ir/article-1-794-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
10
2
2015
10
1
ABSTRACTS IN PERSIAN - Vol. 10, No. 2
123
134
EN
Name of Authors
in This Volume
jahad daneshgahi
Please see the full text contains the Pesian abstracts for this volume.
vol10, No 2.
http://ijmsi.ir/article-1-842-en.html
http://ijmsi.ir/article-1-842-en.pdf