1 1735-4463 ACECR at Tarbiat Modares University 793 Special A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations Hashemi Borzabadi A. b Heidari M. c b Damghan University c Damghan University 1 10 2015 10 2 1 10 27 10 2015 27 10 2015 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.
421 Special Mangasarian-Fromovitz and Zangwill Conditions For Non-Smooth Infinite Optimization problems in Banach Spaces Kanzi N. d d Payame Noor University 1 10 2015 10 2 11 22 19 05 2013 14 09 2014 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. 464 Special A Generalized Singular Value Inequality for Heinz Means Sheikh Hosseini A. e e Shahid Bahonar univercity 1 10 2015 10 2 23 27 21 08 2013 08 09 2014 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}.$ 470 General Free Extended BCK-Module Borzooei R. A. f Saidi Goraghani S. g f Department of Mathematics, Shahid Beheshti University g Department of Mathematics, Islamic Azad University of Central Tehran 1 10 2015 10 2 29 43 02 09 2013 13 11 2014 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. 481 Special Lie Ideals and Generalized Derivations in Semiprime Rings Filippis V. De h Rehman N. Ur i Ansari A. Z. j h University of Messina i Department of Mathemaics, Faculty of Science, Taibah University j Department of Mathematics, Faculty of Science 1 10 2015 10 2 45 54 11 09 2013 23 05 2015 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. 413 Special p-Analog of the Semigroup Fourier-Steiltjes Algebras Shams Yousefi M. k k guilan-university 1 10 2015 10 2 55 66 20 04 2013 27 10 2015 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. 533 Special Generalized Douglas-Weyl Finsler Metrics Emamian M. H. l Tayebi A. m l University of Qom m University of Qom 1 10 2015 10 2 67 75 21 12 2013 13 11 2014 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. 570 Special On the Elliptic Curves of the Form $y^2 = x^3 − pqx$ Daghigh H. n Didari S. o n University of Kashan o University of Kashan 1 10 2015 10 2 77 86 29 04 2014 02 07 2014 ‎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. 600 Special Generalized Degree Distance of Strong Product of Graphs Pattabiraman K. p Kandan P. p Annamalai University Annamalai University 1 10 2015 10 2 87 98 22 07 2014 27 12 2014 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. 612 General $EL^2$–hyperstructures Derived from (Partially) Quasi Ordered Hyperstructures Ghazavi S. H. Anvariyeh S. M. Mirvakili S. Yazd University Yazd university Department of Mathematics, Payame Noor Universtiy, 1 10 2015 10 2 99 114 02 09 2014 14 12 2014 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. 794 General On the Computational Complexity of the Domination Game Klavzar S. Kosmrlj G. Schmidt S. University of Ljubljanac Institute of Mathematics, Physics and Mechanics, Ljubljana Joseph Fourier’s University 1 10 2015 10 2 115 122 27 10 2015 27 10 2015 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 $mathcal O (|V(G)|cdot |E(G)|+Delta(G)^3)$. 842 General ABSTRACTS IN PERSIAN - Vol. 10, No. 2 in This Volume Name of Authors jahad daneshgahi 1 10 2015 10 2 123 134 27 01 2016 27 01 2016 Please see the full text contains the Pesian abstracts for this volume.