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