Iranian Journal of Mathematical Sciences and Informatics
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Iranian Journal of Mathematical Sciences and Informatics - Journal articles for year 2015, Volume 10, Number 2Yektaweb Collection - http://www.yektaweb.comen2015/10/9A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
http://ijmsi.ir/browse.php?a_id=793&sid=1&slc_lang=en
<p>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.</p>
A. Hashemi BorzabadiMangasarian-Fromovitz and Zangwill Conditions For Non-Smooth Infinite Optimization problems in Banach Spaces
http://ijmsi.ir/browse.php?a_id=421&sid=1&slc_lang=en
<p>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.</p>
N. KanziA Generalized Singular Value Inequality for Heinz Means
http://ijmsi.ir/browse.php?a_id=464&sid=1&slc_lang=en
<p dir="ltr">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}.$</p>
A. Sheikh HosseiniFree Extended BCK-Module
http://ijmsi.ir/browse.php?a_id=470&sid=1&slc_lang=en
<p dir="ltr">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.</p>
R. A. BorzooeiLie Ideals and Generalized Derivations in Semiprime Rings
http://ijmsi.ir/browse.php?a_id=481&sid=1&slc_lang=en
<p dir="ltr">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.</p>
N. Ur Rehmanp-Analog of the Semigroup Fourier-Steiltjes Algebras
http://ijmsi.ir/browse.php?a_id=413&sid=1&slc_lang=en
<p dir="ltr">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.</p>
M. Shams YousefiGeneralized Douglas-Weyl Finsler Metrics
http://ijmsi.ir/browse.php?a_id=533&sid=1&slc_lang=en
<p dir="ltr"><span style="font-size:12px"><span style="font-family: times new roman"><span style="color: rgb(0, 0, 0) font-style: normal font-variant: normal">In this paper, we study generalized Douglas-Weyl Finsler <span style="color: rgb(0, 0, 0) font-style: normal font-variant: normal">metrics. We find some conditions under which the class of generalized <span style="color: rgb(0, 0, 0) font-style: normal font-variant: normal">Douglas-Weyl (<span style="color: rgb(0, 0, 0) font-style: normal font-variant: normal"><i>&alpha, &beta</i><span style="color: rgb(0, 0, 0) font-style: normal font-variant: normal">)-metric with vanishing S-curvature reduce to the class <span style="color: rgb(0, 0, 0) font-style: normal font-variant: normal">of Berwald metrics.</span></span></span></span></span></span></span></span></p>
A. TayebiOn the Elliptic Curves of the Form $y^2 = x^3 − pqx$
http://ijmsi.ir/browse.php?a_id=570&sid=1&slc_lang=en
<p dir="ltr">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 E<sub>pq</sub>:y<sup>2</sup>=x<sup>3</sup>-pqx of elliptic curves, where p and q are distinct primes. We give infinite families of elliptic curves of the form y<sup>2</sup>=x<sup>3</sup>-pqx with rank two, three and four, assuming a conjecture of Schinzel and Sierpinski is true.</p>
H. DaghighGeneralized Degree Distance of Strong Product of Graphs
http://ijmsi.ir/browse.php?a_id=600&sid=1&slc_lang=en
<p dir="ltr">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.</p>
K. Pattabiraman$EL^2$–hyperstructures Derived from (Partially) Quasi Ordered Hyperstructures
http://ijmsi.ir/browse.php?a_id=612&sid=1&slc_lang=en
<p dir="ltr">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.}</p>
S. M. AnvariyehOn the Computational Complexity of the Domination Game
http://ijmsi.ir/browse.php?a_id=794&sid=1&slc_lang=en
<p>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 $mathcal O (|V(G)|cdot |E(G)|+Delta(G)^3)$.</p>
S. KlavzarABSTRACTS IN PERSIAN - Vol. 10, No. 2
http://ijmsi.ir/browse.php?a_id=842&sid=1&slc_lang=en
<p>Please see the full text contains the Pesian abstracts for this volume.</p>
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