OTHERS_CITABLE
The Subtree Size Profile of Bucket Recursive Trees
Kazemi (2014) introduced a new version of bucket recursive trees as another generalization of recursive trees where buckets have variable capacities. In this paper, we get the $p$-th factorial moments of the random variable $S_{n,1}$ which counts the number of subtrees size-1 profile (leaves) and show a phase change of this random variable. These can be obtained by solving a first order partial differential equation for the generating function correspond to this quantity.
http://ijmsi.ir/article-1-381-en.pdf
2016-04-18T10:20:15
1
11
10.7508/ijmsi.2016.01.001
Bucket recursive tree
Subtree size profile
Factorial moments.
R.
Kazemi
1
Imam Khomeini International University
AUTHOR
OTHERS_CITABLE
Tangent Bundle of the Hypersurfaces in a Euclidean Space
Let $M$ be an orientable hypersurface in the Euclidean space $R^{2n}$ with induced metric $g$ and $TM$ be its tangent bundle. It is known that the tangent bundle $TM$ has induced metric $overline{g}$ as submanifold of the Euclidean space $R^{4n}$ which is not a natural metric in the sense that the submersion $pi :(TM,overline{g})rightarrow (M,g)$ is
not the Riemannian submersion. In this paper, we use the fact that $R^{4n}$ is the tangent bundle of the Euclidean space $R^{2n}$ to define a special complex structure $overline{J}$ on the tangent bundle $R^{4n}$ so that $% (R^{4n},overline{J}$,$leftlangle ,rightrangle )$ is a Kaehler manifold, where $leftlangle ,rightrangle $ is the Euclidean metric which is also the Sasaki metric of the tangent bundle $R^{4n}$. We study the structure induced on the tangent bundle $(TM,overline{g})$ of the hypersurface $M$, which is a submanifold of the Kaehler manifold $(R^{4n},overline{J}$,$%
leftlangle ,rightrangle )$. We show that the tangent bundle $TM$ is a CR-submanifold of the Kaehler manifold $(R^{4n},overline{J}$,$leftlangle ,rightrangle )$. We find conditions under which certain special vector fields on the tangent bundle $(TM,overline{g})$ are Killing vector fields. It is also shown that the tangent bundle $TS^{2n-1}$ of the unit sphere $% S^{2n-1}$ admits a Riemannian metric $overline{g}$ and that there exists a nontrivial Killing vector field on the tangent bundle $(TS^{2n-1},% overline{g})$.
http://ijmsi.ir/article-1-430-en.pdf
2016-04-18T10:20:15
13
26
10.7508/ijmsi.2016.01.002
Tangent bundle
Hypersurface
Kaehler manifold
Almost contact structure
Killing vector field
CR-Submanifold
Second fundamental form
Wiengarten map.
S.
Deshmukh
shariefd@ksu.edu.sa
1
King Saud University
AUTHOR
S. B.
Al-Shaikh
2
King Saud University
AUTHOR
OTHERS_CITABLE
Double Integral Characterization for Bergman Spaces
In this paper we characterize Bergman spaces with respect to double integral of the functions $|f(z) -f(w)|/|z-w|$, $|f(z) -f(w)|/rho(z,w)$ and $|f(z) -f(w)|/beta(z,w)$, where $rho$ and $beta$ are the pseudo-hyperbolic and hyperbolic metrics. We prove some necessary and sufficient conditions that implies a function to be in Bergman spaces.
http://ijmsi.ir/article-1-451-en.pdf
2016-04-18T10:20:15
27
34
10.7508/ijmsi.2016.01.003
Bergman spaces
Pseudo-hyperbolic metric
Hyperbolic metric
Double integral.
M.
Hassanlou
m_hasanloo@tabrizu.ac.ir
1
University of Tabriz
AUTHOR
H.
Vaezi
hvaezi@tabrizu.ac.ir
2
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
AUTHOR
OTHERS_CITABLE
Convergence of an Approach for Solving Fredholm Functional Integral Equations
In this work, we give a product Nyström method for solving a Fredholm functional integral equation (FIE) of the second kind. With this method solving FIE reduce to solving an algebraic system of equations. Then we use some theorems to prove the existence and uniqueness of the system. Finally we investigate the convergence of the method.
http://ijmsi.ir/article-1-462-en.pdf
2016-04-18T10:20:15
35
46
10.7508/ijmsi.2016.01.004
Functional integral equation
Fredholm
Product Nyström method
Lagrange interpolation
Convergence.
N.
Aghazadeh
aghazadeh@iust.ac.ir
1
Azarbaijan Shahid Madani University
AUTHOR
S.
Fathi
2
Azarbaijan Shahid Madani University
AUTHOR
OTHERS_CITABLE
The Representations and Positive Type Functions of Some Homogenous Spaces
For a homogeneous spaces $G/H$, we show that the convolution on $L^1(G/H)$ is the same as convolution on $L^1(K)$, where $G$ is semidirect product of a closed subgroup $H$ and a normal subgroup $K $ of $G$. Also we prove that there exists a one to one correspondence between nondegenerat $ast$-representations of $L^1(G/H)$ and representations of $G/H$. We propose a relation between cyclic representations of $L^1(G/H)$ and positive type functions on $G/H$. We prove that the Gelfand Raikov theorem for $G/H$ holds if and only if $H$ is normal.
http://ijmsi.ir/article-1-482-en.pdf
2016-04-18T10:20:15
47
56
10.7508/ijmsi.2016.01.005
Homogenous space
Semidirect product
Convolution
Involution
Representation
Irreducible representation.
R.
Raisi Tousi
raisi@.um.ac.ir
1
Ferdowsi University Of Mashhad
AUTHOR
F.
Esmaeelzadeh
esmaeelzadeh@bojnourdiau.ac.ir
2
Bojnourd Branch, Islamic Azad University
AUTHOR
R. A.
Kamyabi Gol
kamyabi@.um.ac.ir
3
Ferdowsi University Of Mashhad
AUTHOR
OTHERS_CITABLE
Stability of $g$-Frame Expansions
In this paper we investigate the stability of one-sided perturbation to g-frame expansions. We show that if $Lambda$ is a g-frame of a Hilbert space $mathcal{H}$, $Lambda_{i}^{a}=Lambda_{i}+Theta_{i}$ where $Theta_{i} in mathcal{L}(mathcal{H},mathcal{H}_{i})$, and $widetilde{f}=sum_{i in J}Lambda_{i}^{star}widetilde{Lambda}_{i}^{a}f$, $widehat{f}=sum_{i in J}(Lambda_{i}^{a})^{star}widetilde{Lambda_{i}}f$, then $|widehat{f}-f|leq alpha |f|$ and $|f-widetilde{f}|leq beta |f|$ for some $alpha$ and $beta$.
http://ijmsi.ir/article-1-587-en.pdf
2016-04-18T10:20:15
57
67
10.7508/ijmsi.2016.01.006
g-Frames
g-Riesz bases
g-Orthonormal bases
Dual g-frames.
A.
Abdollahi
abdollahi@shirazu.ac.ir
1
Shiraz University
AUTHOR
E.
Rahimi
rahimie@shirazu.ac.ir
2
DepaShiraz Branch, Islamic Azad University
AUTHOR
OTHERS_CITABLE
An Explicit Viscosity Iterative Algorithm for Finding Fixed Points of Two Noncommutative Nonexpansive Mappings
We suggest an explicit viscosity iterative algorithm for finding a common element in the set of solutions of the general equilibrium problem system (GEPS) and the set of all common fixed points of two noncommuting nonexpansive self mappings in the real Hilbert space.
http://ijmsi.ir/article-1-588-en.pdf
2016-04-18T10:20:15
69
83
10.7508/ijmsi.2016.01.007
General equilibrium problems
Strongly positive linear bounded operator
α−Inverse strongly monotone mapping
Fixed point
Hilbert space.
H. R.
Sahebi
sahebi@mail.aiau.ac.ir
1
DepartmenScience and Research Branch, Islamic Azad University
AUTHOR
A.
Razani
razani@ipm.ir
2
DepartmentScience and Research Branch, Islamic Azad University
AUTHOR
OTHERS_CITABLE
On $(α, β)$−Linear Connectivity
In this paper we introduce $(alpha,beta)-$linear connected spaces for nonzero cardinal numbers $alpha$ and $beta$. We show that $(alpha,beta)-$linear connectivity approach is a tool to classify the class of all linear connected spaces.
http://ijmsi.ir/article-1-597-en.pdf
2016-04-18T10:20:15
85
100
10.7508/ijmsi.2016.01.008
α−Arc
(α
β)−Linear connection degree
(α
β)−Linear connectivity
Arc
β−Separated family
Linear connected
Path
Path connected.
F.
Ayatollah Zadeh Shirazi
fatemah@khayam.ut.ac.ir
1
Faculty of Mathematics, Statistics and Computer Science, ColUniversity of Tehran
AUTHOR
A.
Hosseini
a_hosseini@guilan.ac.ir
2
Farhangian University (Pardis Nasibe-Shahid Sherafat branch)
AUTHOR
OTHERS_CITABLE
Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces
The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in $b$-metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone $b$-metric spaces cannot be obtained by the techniques using scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
http://ijmsi.ir/article-1-620-en.pdf
2016-04-18T10:20:15
101
113
10.7508/ijmsi.2016.01.009
b-Metric space
Scalarization function
Point of coincidence
Common fixed point.
S.
Kumar Mohanta
smwbes@yahoo.in
1
Department of Mathematics,West Bengal State University
AUTHOR
OTHERS_CITABLE
On Harmonic Index and Diameter of Unicyclic Graphs
The Harmonic index $ H(G) $ of a graph $ G $ is defined as the sum of the weights $ dfrac{2}{d(u)+d(v)} $ of all edges $ uv $ of $G$, where $d(u)$ denotes the degree of the vertex $u$ in $G$. In this work, we prove the conjecture $dfrac{H(G)}{D(G)} geq dfrac{1}{2}+dfrac{1}{3(n-1)} $ given by Jianxi Liu in 2013 when G is a unicyclic graph and give a better bound $ dfrac{H(G)}{D(G)}geq dfrac{1}{2}+dfrac{2}{3(n-2)}$, where $n$ is the order and $D(G)$ is the diameter of the graph $G$.
http://ijmsi.ir/article-1-645-en.pdf
2016-04-18T10:20:15
115
122
10.7508/ijmsi.2016.01.010
Harmonic index
Diameter
Unicyclic graph.
J.
Amalorpava Jerline
jermaths@gmail.com
1
Holy Cross College
AUTHOR
L.
Benedict Michaelraj
2
Joseph’s College
AUTHOR
OTHERS_CITABLE
Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
In a recent paper, Khojasteh emph{et al.} [F. Khojasteh, S. Shukla, S. Radenovi'c, A new approach to the study of fixed point theorems via simulation functions, Filomat, 29 (2015), 1189-–1194] presented a new class of simulation functions, say $mathcal{Z}$-contractions, with unifying power over known contractive conditions in the literature. Following this line of research, we extend and generalize their results on a $b$-metric context, by giving a new notion of $b$-simulation function. Then, we prove and discuss some fixed point results in relation with existing ones.
http://ijmsi.ir/article-1-684-en.pdf
2016-04-18T10:20:15
123
136
10.7508/ijmsi.2016.01.011
$b$-Metric space
Partial order
Nonlinear contraction
Fixed point
$b$-Simulation function.
M.
Demma
1
Universit`a degli Studi di Palermo
AUTHOR
R.
Saadati
rsaadati@eml.cc
2
Iran University of Science and Technology
AUTHOR
P.
Vetro
3
Universit`a degli Studi di Palermo
AUTHOR
OTHERS_CITABLE
Tricyclic and Tetracyclic Graphs with Maximum and Minimum Eccentric Connectivity
Let $G$ be a connected graph on $n$ vertices. $G$ is called tricyclic if it has $n + 2$ edges, and tetracyclic if $G$ has exactly $n + 3$ edges. Suppose $mathcal{C}_n$ and $mathcal{D}_n$ denote the set of all tricyclic and tetracyclic $n-$vertex graphs, respectively. The aim of this paper is to calculate the minimum and maximum of eccentric connectivity index in $mathcal{C}_n$ and $mathcal{D}_n$.
http://ijmsi.ir/article-1-891-en.pdf
2016-05-02T10:20:15
137
143
Tricyclic graph
Tetracyclic graph
Eccentric connectivity index
M.
Tavakoli
M.tavakoly@Alumni.ut.ac.ir
1
Ferdowsi University of Mashhad
AUTHOR
F.
Rahbarnia
rahbarnia@um.ac.ir
2
Ferdowsi University of Mashhad
AUTHOR
A. R
Ashrafi
ashrafi@kashanu.ac.ir
3
University of Kashan
AUTHOR
CASE_STUDY
ABSTRACTS IN PERSIAN - Vol. 11, No. 1
Please see the full text contains the Pesian abstracts for this volume.
http://ijmsi.ir/article-1-898-en.pdf
2016-05-15T10:20:15
145
157
ABSTRACTS
PERSIAN
Vol. 11
No. 1
Name of Authors
In This Volume
fatemh.bardestani@gmail.com
1
Tarbiat Modares University, Jahade Daneshgahi
AUTHOR