eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 1 21 article Oana Alexandru 1 It is the purpose of the present paper to outline an introduction in theory of embeddings in the 2-osculator bundle. First, we recall the notion of 2-osculator bundle ([9], [2], [4]) and the notion of submani-folds in the 2-osculator bundle ([9]). A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in the fourth and fifth section ([15], [16]). The Ricci identities for the deflection tensors are presented in the seventh section. http://ijmsi.ir/article-1-500-en.pdf nonlinear connection linear connection induced linear connection d-torsions and d-curvatures. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 23 30 article M. Zarghani 1 In this paper we study the structure of standard Einstein solvmanifolds of arbitrary rank. Also the validity of a variational method for finding standard Einstein solvmanifolds is proved. http://ijmsi.ir/article-1-501-en.pdf Nilpotent Lie algebra Einstein Solvmanifold Critical point Ricci soliton Left invariant metric. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 31 38 article Hamidreza Maimani 1 Zynolabedin Norozi 2 The purpose of this paper is to study the information ratio of perfect secret sharing of product of some special families of graphs. We seek to prove that the information ratio of prism graphs $Y_{n}$ are equal to $frac{7}{4}$ for any $ngeq 5$, and we will gave a partial answer to a question of Csirmaz cite{CL}. We will also study the information ratio of two other families $C_{m}times C_{n}$ and $P_{m}times C_{n}$ and obtain the exact value of information ratio of these graphs. http://ijmsi.ir/article-1-502-en.pdf Secret sharing Cartesian graph product Prism graph. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 39 47 article K. M. Nagaraja 1 P. Siva Kota Reddy 2 Sudhir Kumar Sahu 3 In this paper, the generalized -centroidal mean and its dual form in 2 variables are introduced. Also, studied some properties and prove their monotonicity. Further, shown that various means are partic- ular cases of generalized $bf{alpha}$-centroidal mean. http://ijmsi.ir/article-1-503-en.pdf Monotonicity Inequality Power Oscillatory mean Dual. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 49 55 article Saeid Alikhani 1 A graph $G$ is called $P_4$-free, if $G$ does not contain an induced subgraph $P_4$. The domination polynomial of a graph $G$ of order $n$ is the polynomial $D(G,x)=sum_{i=1}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$. Every root of $D(G,x)$ is called a domination root of $G$. In this paper we state and prove formula for the domination polynomial of non $P_4$-free graphs. Also, we pose a conjecture about domination roots of these kind of graphs. http://ijmsi.ir/article-1-504-en.pdf Domination polynomial Simple path Root. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 57 74 article Christos G. Massouros 1 Gerasimos G. Massouros 2 This paper studies the algebraic structure of transposition hypergroups with idempotent identity. Their subhypergroups and their properties are examined. Right, left and double cosets are defined through symmetric subhypergroups and their properties are studied. Further- more, this paper examines the homomorphisms, the behaviour of attrac- tive and non-attractive elements through them, as well as the relation of their kernels and images to symmetric subhypergroups. http://ijmsi.ir/article-1-505-en.pdf hypergroups transposition hypergroups subhypergroups sym- metric subhypergroups attractive elements. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 75 84 article M. Eslamian 1 Ali Abkar 2 In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4]. http://ijmsi.ir/article-1-506-en.pdf multivalued mapping weakly contractive mapping common fixed point. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 85 100 article A. R. Doagooei 1 H. Mohebi 2 In this paper, we present an example in which the sum of two maximal abstract monotone operators is maximal. Also, we shall show that the necessary condition for Rockafellar’s surjectivity which was obtained in ([19], Theorem 4.3) can be sufficient. http://ijmsi.ir/article-1-507-en.pdf Monotone operator Abstract monotonicity Abstract convex func- tion Abstract convexity Rockafellar’s surjectivity theorem. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 101 109 article M. Jafarpour 1 V. Leoreanu-Fotea 2 A. Zolfaghari 3 In this article we generalize the notion of complete parts, by introducing a weaker condition in definition. Using this generalization we define and analyse a new class of semihypergroups, which are called weak complete semihypergroups. Complete parts were introduced about 40 years ago by M. Koskas and they represent a basic notion of hyperstucture theory, utilized in constructing an important class of subhypergroups of a hypergroup and also they are used to define complete hypergroups. http://ijmsi.ir/article-1-508-en.pdf (semi)Hypergroup (strongly) Regular relation Complete parts -part. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 111 121 article Mojtaba Bahramian 1 Hassan Daghigh 2 In this paper some properties of a generalization of Fibonacci sequence are investigated. Then we solve the Diophantine equations $x^2pmkxy-y^2pm x=0$, where $k$ is positive integer, and describe the structure of solutions. http://ijmsi.ir/article-1-509-en.pdf Diophantine equation Generalized Fibonacci sequence Pell equation eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 123 130 article Ali Akbar Arefijamaal 1 Ghadir Sadeghi 2 In this paper, we introduce the notion of a frame in a 2- inner product space and give some characterizations. These frames can be considered as a usual frame in a Hilbert space, so they share many useful properties with frames. http://ijmsi.ir/article-1-510-en.pdf 2-inner product space 2-norm space Frame Frame operator. eng ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 2013-10 8 2 131 136 article A. Armandnejad 1 F. Passandi 2 Let $mathbf{c}_0$ be the real vector space of all real sequences which converge to zero. For every $x,yin mathbf{c}_0$, it is said that $y$ is block diagonal majorized by $x$ (written $yprec_b x$) if there exists a block diagonal row stochastic matrix $R$ such that $y=Rx$. In this paper we find the possible structure of linear functions $T:mathbf{c}_0rightarrow mathbf{c}_0$ preserving $prec_b$. http://ijmsi.ir/article-1-511-en.pdf Block diagonal matrices Majorization Stochastic matrices Linear preservers.