2019-07-16T00:51:43+04:30
http://ijmsi.ir/browse.php?mag_id=20&slc_lang=en&sid=1
20-793
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
A.
Hashemi Borzabadi
borzabadi@du.ac.ir
M.
Heidari
m.heidari27@gmail.com
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.
2015
10
01
1
10
http://ijmsi.ir/article-1-793-en.pdf
10.7508/ijmsi.2015.02.001
20-421
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
Mangasarian-Fromovitz and Zangwill Conditions For Non-Smooth Infinite Optimization problems in Banach Spaces
N.
Kanzi
nad.kanzi@gmail.com
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.
2015
10
01
11
22
http://ijmsi.ir/article-1-421-en.pdf
10.7508/ijmsi.2015.02.002
20-464
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
A Generalized Singular Value Inequality for Heinz Means
A.
Sheikh Hosseini
alemehsheikhhoseiny@yahoo.com
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.
2015
10
01
23
27
http://ijmsi.ir/article-1-464-en.pdf
10.7508/ijmsi.2015.02.003
20-470
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
Free Extended BCK-Module
R. A.
Borzooei
borzooei@sbu.ac.ir
S.
Saidi Goraghani
SiminSaidi@yahoo.com
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.
2015
10
01
29
43
http://ijmsi.ir/article-1-470-en.pdf
10.7508/ijmsi.2015.02.004
20-481
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
Lie Ideals and Generalized Derivations in Semiprime Rings
V. De
Filippis
defilippis@unime.it
N. Ur
Rehman
rehman100@gmail.com
A. Z.
Ansari
ansari.abuzaid@gmail.com
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.
2015
10
01
45
54
http://ijmsi.ir/article-1-481-en.pdf
10.7508/ijmsi.2015.02.005
20-413
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
p-Analog of the Semigroup Fourier-Steiltjes Algebras
M.
Shams Yousefi
m.shams@guilan.ac.ir
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.
2015
10
01
55
66
http://ijmsi.ir/article-1-413-en.pdf
10.7508/ijmsi.2015.02.006
20-533
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
Generalized Douglas-Weyl Finsler Metrics
M. H.
Emamian
hosein.emamian@gmail.com
A.
Tayebi
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.
2015
10
01
67
75
http://ijmsi.ir/article-1-533-en.pdf
10.7508/ijmsi.2015.02.007
20-570
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
On the Elliptic Curves of the Form $y^2 = x^3 − pqx$
H.
Daghigh
hassan@kashanu.ac.ir
S.
Didari
somayeh_didari@yahoo.com
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.
2015
10
01
77
86
http://ijmsi.ir/article-1-570-en.pdf
10.7508/ijmsi.2015.02.008
20-600
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
Generalized Degree Distance of Strong Product of Graphs
K.
Pattabiraman
pramank@gmail.com
P.
Kandan
kandan2k@gmail.com
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.
2015
10
01
87
98
http://ijmsi.ir/article-1-600-en.pdf
10.7508/ijmsi.2015.02.009
20-612
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
$EL^2$–hyperstructures Derived from (Partially) Quasi Ordered Hyperstructures
S. H.
Ghazavi
hossein ghazavi@yahoo.com
S. M.
Anvariyeh
anvariyeh@yazd.ac.ir
S.
Mirvakili
saeed mirvakili@pnu.ac.ir
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.
2015
10
01
99
114
http://ijmsi.ir/article-1-612-en.pdf
10.7508/ijmsi.2015.02.010
20-794
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
On the Computational Complexity of the Domination Game
S.
Klavzar
sandi.klavzar@fmf.uni-lj.si
G.
Kosmrlj
gasper.kosmrlj@student.fmf.uni-lj.si
S.
Schmidt
simon.schmidt@ujf-grenoble.fr
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.
2015
10
01
115
122
http://ijmsi.ir/article-1-794-en.pdf
10.7508/ijmsi.2015.02.011
20-842
2019-07-16
10.1002
Iranian Journal of Mathematical Sciences and Informatics
IJMSI
1735-4463
2008-9473
7
2015
10
2
ABSTRACTS IN PERSIAN - Vol. 10, No. 2
Name of Authors
in This Volume
Please see the full text contains the Pesian abstracts for this volume.
2015
10
01
123
134
http://ijmsi.ir/article-1-842-en.pdf