2014
40
3
3
0
A full NesterovTodd step infeasible interiorpoint algorithm for symmetric cone linear complementarity problem
2
2
A full NesterovTodd (NT) step infeasible interiorpoint algorithm is proposed for solving monotone linear complementarity problems over symmetric cones by using Euclidean Jordan algebra. Two types of full NTsteps are used, feasibility steps and centering steps. The algorithm starts from strictly feasible iterates of a perturbed problem, and, using the central path and feasibility steps, finds strictly feasible iterates for the next perturbed problem. By using centering steps for the new perturbed problem, strictly feasible iterates are obtained to be close enough to the central path of the new perturbed problem. The starting point depends on two positive numbers $rho_p$ and $rho_d$. The algorithm terminates either by finding an $epsilon$solution or detecting that the symmetric cone linear complementarity problem has no optimal solution with vanishing duality gap satisfying a condition in terms of $rho_p$ and $rho_d$. The iteration bound coincides with the best known bound for infeasible interiorpoint methods.
1

541
564


Behrouz
Kheirfam
Azarbaijan university of tarbiat moallem
Azarbaijan university of tarbiat moallem
Iran
b.kheirfam@azaruniv.edu


N.
MahdaviAmiri
Sharif University of Technology
Sharif University of Technology
Iran
nezamm@sharif.edu
Monotone linear complementarity problem
interiorpoint algorithms
Euclidean Jordan algebra
Actions of vector groupoids
2
2
In this work we deal with actions of vector groupoid which is a new concept in the literature. After we give the definition of the action of a vector groupoid on a vector space, we obtain some results related to actions of vector groupoids. We also apply some characterizations of the category and groupoid theory to vector groupoids. As the second part of the work, we define the notion of a crossed module over a vector groupoid. Finally, we show that the category $mathcal{VG}$ of the vector groupoids is equivalent to the category $mathcal{CM}odmathcal{VG}$ of the crossed modules over a vector groupoid.
1

565
583


Mustafa
Gursoy
Inonu University, Science and Art Faculty, Department of Mathematics
Inonu University, Science and Art Faculty,
Turkey
mhgursoy@gmail.com
Groupoid
action
crossed module
vector groupoids
On inverse problem for singular SturmLiouville operator with discontinuity conditions
2
2
In this study, properties of spectral characteristic are investigated for singular SturmLiouville operators in the case where an eigen parameter not only appears in the differential equation but is also linearly contained in the jump conditions. Also Weyl function for considering operator has been defined and the theorems which related to uniqueness of solution of inverse problem according to Weyl function and two spectra have been proved.
1

585
607


Rauf
Amirov
Cumhuriyet University
Cumhuriyet University
Turkey
emirov@cumhuriyet.edu.tr


Nilufer
Topsakal
Cumhuriyet University
Cumhuriyet University
Turkey
nilufer78@hotmail.com
Inverse problem
Coulomb singularity
Integral equation
CohenMacaulay $r$partite graphs with minimal clique cover
2
2
In this paper, we give some necessary conditions for an $r$partite graph such that the edge ring of the graph is CohenMacaulay. It is proved that if there exists a cover of an $r$partite CohenMacaulay graph by disjoint cliques of size $r$, then such a cover is unique.
1

609
617


Asghar
Madadi
University of Zanjan
University of Zanjan
Iran
a_madadi@znu.ac.ir


Rashid
ZaareNahandi
Institute for Advanced Studies in Basic Sciences
Institute for Advanced Studies in Basic Sciences
Iran
rashidzn@iasbs.ac.ir
CohenMacaulay graph
$r$partite
Clique Cover
perfect $r$matching
Almost sure exponential stability of stochastic reaction diffusion systems with Markovian jump
2
2
The stochastic reaction diffusion systems may suffer sudden shocks, in order to explain this phenomena, we use Markovian jumps to model stochastic reaction diffusion systems. In this paper, we are interested in almost sure exponential stability of stochastic reaction diffusion systems with Markovian jumps. Under some reasonable conditions, we show that the trivial solution of stochastic reaction diffusion systems with Markovian jumps is almost surely exponentially stable. An example is given to illustrate the theory.
1

619
629


Jun
Liu
Department of Mathematics, Jining University
Department of Mathematics, Jining University
China (P. R. C.)
wjzws6@163.com
Markovian jump
almost sure exponential stability
stochastic reaction diffusion system
Ito differential formula
Singular value inequalities for positive semidefinite matrices
2
2
In this note, we obtain some singular values inequalities for positive semidefinite matrices by using block matrix technique. Our results are similar to some inequalities shown by Bhatia and Kittaneh in [Linear Algebra Appl. 308 (2000) 203211] and [Linear Algebra Appl. 428 (2008) 21772191].
1

631
638


Limin
Zou
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, P. R. China
School of Mathematics and Statistics, Chongqing
China (P. R. C.)
liminzou@163.com


Youyi
Jiang
School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, 404100, P. R. China
School of Mathematics and Statistics, Chongqing
China (P. R. C.)
307376216@qq.com
Singular values
positive semidefinite matrices
block matrix technique
On the category of geometric spaces and the category of (geometric) hypergroups
2
2
In this paper first we define the morphism between geometric spaces in two different types. We construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories, for instance $uu$ is topological. The relation between hypergroups and geometric spaces is studied. By constructing the category $qh$ of $H_{v}$groups we answer the question that which construction of hyperstructures on the category of sets has free object in the sense of universal property. At the end we define the category of geometric hypergroups and we study its relation with the category of hypergroup.
1

639
655


Morteza
Jafarpour
fACULTY OF MATHEMATICS
fACULTY OF MATHEMATICS
Iran
rmo4909@yahoo.com


Seyed Shahin
Mousavi
Faculty of Math.
Faculty of Math.
Iran
raimc42@yahoo.com
Geometric hypergroups
$H_{v}$groups
geometric spaces
topological categories
On $z$ideals of pointfree function rings
2
2
Let $L$ be a completely regular frame and $mathcal{R}L$ be the ring of continuous realvalued functions on $L$. We show that the lattice $Zid(mathcal{R}L)$ of $z$ideals of $mathcal{R}L$ is a normal coherent Yosida frame, which extends the corresponding $C(X)$ result of Mart'{i}nez and Zenk. This we do by exhibiting $Zid(mathcal{R}L)$ as a quotient of $Rad(mathcal{R}L)$, the frame of radical ideals of $mathcal{R}L$. The saturation quotient of $Zid(mathcal{R}L)$ is shown to be isomorphic to the Stonev{C}ech compactification of $L$. Given a morphism $hcolon Lto M$ in $mathbf{CRegFrm}$, $Zid$ creates a coherent frame homomorphism $Zid(h)colonZid(mathcal{R}L)toZid(mathcal{R}M)$ whose right adjoint maps as $(mathcal{R}h)^{1}$, for the induced ring homomorphism $mathcal{R}hcolonmathcal{R}Ltomathcal{R}M$.Thus, $Zid(h)$ is an $s$map, in the sense of Mart`{i}nez cite{Mar1}, precisely when $mathcal{R}(h)$ contracts maximal ideals to maximal ideals.
1

657
675


Themba
Dube
University of South Africa
University of South Africa
South Africa
tdube2013@yahoo.co.za


Oghenetega
Ighedo
University of South Africa (Unisa)
University of South Africa (Unisa)
South Africa
ighedo@unisa.ac.za
frame
ideal
zideal
When every $P$flat ideal is flat
2
2
In this paper, we study the class of rings in which every $P$flat ideal is flat and which will be called $PFF$rings. In particular, Von Neumann regular rings, hereditary rings, semihereditary ring, PID and arithmetical rings are examples of $PFF$rings. In the context domain, this notion coincide with Pr"{u}fer domain. We provide necessary and sufficient conditions for $R=Apropto E $ to be a $PFF$ring where $A$ is a domain and $E$ is a $K$vector space, where $K:=qf(A)$ or $A$ is a local ring such that $ME:=0$. We give examples of non$fqp$ $PFF$ring, of nonarithmetical $PFF$ring, of nonsemihereditary $PFF$ring, of $PFF$ring with $wgldim>1$ and of non$PFF$ Pr"{u}ferring. Also, we investigate the stability of this property under localization and homomorphic image, and its transfer to finite direct products. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.
1

677
688


Fatima
Cheniour
Department of Mathematics, FST, University of Fez
Department of Mathematics, FST, University
Morocco
cheniourfatima@yahoo.fr


Najib
Mahdou
Department of Mathematics, Faculty of Sciences and Technology, University of Fez, Fez, Morocco.
Department of Mathematics, Faculty of Sciences
Morocco
mahdou@hotmail.com
$PFF$ring
$P$flat module
direct product
Localization
trivial extension
On the existence of fixed points for contraction mappings depending on two functions
2
2
In this paper we study the existence of fixed points for mappings defined on complete metric spaces, satisfying a general contractive inequality depending on two additional mappings.
1

689
698


José
Morales
Universidad de Los Andes
Universidad de Los Andes
Venezuela
moralesj@ula.ve


Edixon
Rojas
pontificia universidad javeriana
pontificia universidad javeriana
Colombia
edixonr@gmail.com
metric space
fixed point
contractive mapping
sequentially convergent
A finite difference technique for solving variableorder fractional integrodifferential equations
2
2
In this article, we use a finite difference technique to solve variableorder fractional integrodifferential equations (VOFIDEs, for short). In these equations, the variableorder fractional integration(VOFI) and variableorder fractional derivative (VOFD) are described in the RiemannLiouville's and Caputo's sense,respectively. Numerical experiments, consisting of two examples, are studied. The obtained numerical results reveal that the proposed finite difference technique is very effective and convenient for solving VOFIDEs.
1

699
712


Yufeng
Xu
Department of Applied Mathematics, Central South University, Changsha, People’s
Republic of China
Department of Applied Mathematics, Central
China (P. R. C.)
xuyufeng@csu.edu.cn


Vedat
Suat Ertürk
Department of Mathematics, Faculty of Arts and Sciences, Ondokuz Mayıs University, 55139, Samsun, Turkey
Department of Mathematics, Faculty of Arts
Turkey
vserturk@yahoo.com
Variableorder fractional calculus
fractional integrodifferential equation
finite difference method
numerical solution
About remainders in compactifications of paratopological groups
2
2
In this paper, we prove a dichotomy theorem for remainders in compactifications of paratopological groups: every remainder of a paratopological group $G$ is either Lindel"{o}f and meager or Baire. Furthermore, we give a negative answer to a question posed in [D. Basile and A. Bella, About remainders in compactifications of homogeneous spaces, Comment. Math. Univ. Carolin. 50 (2009), no. 4, 607613]. Some questions about remainders in compactifications of paratopological groups are posed.
1

713
719


Fucai
Lin
Minnan Normal University
Minnan Normal University
China (P. R. C.)
linfucai2008@aliyun.com


Shou
Lin
Ningde Teachers' College
Ningde Teachers' College
China (P. R. C.)
shoulin60@163.com
Remainders
paratopological groups
topological groups
homogeneous spaces
Baire spaces
Cat$^1$polygroups and pullback cat$^1$polygroups
2
2
In this paper, we give the notions of crossed polymodule and cat$^1$polygroup as a generalization of Loday's definition. Then, we define the pullback cat$^1$polygroup and we obtain some results in this respect. Specially, we prove that by a pullback cat$^1$polygroup we can obtain a cat$^1$group.
1

721
735


Bijan
Davvaz
Yazd University
Yazd University
Iran
davvaz@yazduni.ac.ir


Murat
Alp
Nigde Universit
Nigde Universit
Turkey
muratalp@nigde.edu.tr
polygroup
crossed polymodule
cat$^1$group
cat$^1$polygroup
pullback cat$^1$polygroup
A family of large set of size nine
2
2
We investigate the existence of some large sets of size nine. The large set $LS[9](2,5,29)$ is constructed and existence of the family $LS[9](2,5,27l+j)$ for $lgeq 1, 2leq j<5$ are proved.
1

737
749


Mojgan
Emami
University of Zanjan
University of Zanjan
Iran
mojgan.emami@yahoo.com


Ozra
Naserian
University of zanjan
University of zanjan
Iran
narges_naserian@yahoo.com
Large set
KramerMesner matrix
block design
$k$tuple total restrained domination/domatic in graphs
2
2
For any integer $kgeq 1$, a set $S$ of vertices in a graph $G=(V,E)$ is a $k$tuple total dominating set of $G$ if any vertex of $G$ is adjacent to at least $k$ vertices in $S$, and any vertex of $VS$ is adjacent to at least $k$ vertices in $VS$. The minimum number of vertices of such a set in $G$ we call the $k$tuple total restrained domination number of $G$. The maximum number of classes of a partition of $V$ such that its all classes are $k$tuple total restrained dominating sets in $G$ we call the $k$tuple total restrained domatic number of $G$. In this paper, we give some sharp bounds for the $k$tuple total restrained domination number of a graph, and also calculate it for some of the known graphs. Next, we mainly present basic properties of the $k$tuple total restrained domatic number of a graph.
1

751
763


Adel
P. Kazemi
University of Mohaghegh Ardabili
University of Mohaghegh Ardabili
Iran
adelpkazemi@yahoo.com
$k$tuple total domination number
$k$tuple total domatic number
$k$tuple total restrained domination number
$k$tuple total restrained domatic number
ODCharacterization of almost simple groups related to $L_{3}(25)$
2
2
Let $G$ be a finite group and $pi(G)$ be the set of all the prime divisors of $G$. The prime graph of $G$ is a simple graph $Gamma(G)$ whose vertex set is $pi(G)$ and two distinct vertices $p$ and $q$ are joined by an edge if and only if $G$ has an element of order $pq$, and in this case we will write $psim q$. The degree of $p$ is the number of vertices adjacent to $p$ and is denoted by $deg(p)$. If $G=p^{alpha_{1}}_{1}p^{alpha_{2}}_{2}...p^{alpha_{k}}_{k}$, $p_{i}^{,}$s different primes, $p_{1}<p_{2}<...<p_{k}$, then $D(G)=(deg(p_{1}),deg(p_{2}),...,deg(p_{k}))$ is called the degree pattern of $G$. A finite group $G$ is called $k$fold ODcharacterizable if there exist exactly $k$ nonisomorphic groups $S$ with $G=S$ and $D(G)=D(S)$. In this paper, we characterize groups with the same order and degree pattern as an almost simple groups related to $L_{3}(25)$.
1

765
790


Gholamreza
Rezaeezadeh
shahrekord university
shahrekord university
Iran
gh.rezaeezadeh@yahoo.com


Mohammad Reza
Darafsheh
university of tehran
university of tehran
Iran
darafsheh@ut.ac.ir


Masoomeh
Sajadi
shahrekord university
shahrekord university
Iran
masa.irsh@gmail.com


Masoomeh
Bibak
shahrekord university
shahrekord university
Iran
m.bibak62@gmail.com
ODcharacterizable group
degree pattern
prime graph
Asymptotics for the infinite time ruin probability of a dependent risk model with a constant interest rate and dominatedly varyingtailed claim sizes
2
2
This paper mainly considers a nonstandard risk model with a constant interest rate, where both the claim sizes and the interarrival times follow some certain dependence structures. When the claim sizes are dominatedly varyingtailed, asymptotics for the infinite time ruin probability of the above dependent risk model have been given.
1

791
807


Kaiyong
Wang
Suzhou University of Science and Technology
Suzhou University of Science and Technology
China, R. O. C.
beewky@163.com


Fei
Ding
Suzhou University of Science and Technology
Suzhou University of Science and Technology
China, R. O. C.
dingfei_1991@126.com


Hongmei
Wu
Suzhou University of Science and Technology
Suzhou University of Science and Technology
China, R. O. C.
939856577@qq.com


Tingting
Pan
Suzhou University of Science and Technology
Suzhou University of Science and Technology
China, R. O. C.
1147442889@qq.com
Asymptotics
infinite time ruin probability
constant interest rate
dominatedly varying tail