ORIGINAL_ARTICLE
Common fixed points of f-weak contractions in cone metric spaces
Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and also establish a coincidence and common fixed point result for $f$-weak contractions in cone metric spaces. Our result is supported by an example which include and generalize the results of Choudhury and Metiya's work.
http://bims.iranjournals.ir/article_218_d595625aa45af7f415864e2b1458807a.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
293
303
Cone metric spaces
Weak contraction
f-weak
contraction
coincidence point
common fixed point
Wultipol
Sintunavarat
poom_teun@hotmail.com
true
1
King Mongkut's University of Technology Thonburi (KMUTT)
King Mongkut's University of Technology Thonburi (KMUTT)
King Mongkut's University of Technology Thonburi (KMUTT)
AUTHOR
Poom
Kumam
poom.kum@kmutt.ac.th
true
2
King Mongkut's University of Technology Thonburi (KMUTT)
King Mongkut's University of Technology Thonburi (KMUTT)
King Mongkut's University of Technology Thonburi (KMUTT)
LEAD_AUTHOR
ORIGINAL_ARTICLE
Rings with a setwise polynomial-like condition
Let $R$ be an infinite ring. Here we prove that if $0_R$ belongs to ${x_1x_2cdots x_n ;|; x_1,x_2,dots,x_nin X}$ for every infinite subset $X$ of $R$, then $R$ satisfies the polynomial identity $x^n=0$. Also we prove that if $0_R$ belongs to ${x_1x_2cdots x_n-x_{n+1} ;|; x_1,x_2,dots,x_n,x_{n+1}in X}$ for every infinite subset $X$ of $R$, then $x^n=x$ for all $xin R$.
http://bims.iranjournals.ir/article_231_c96d633637c016b61c15d2693daeeffb.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
305
311
Primitive rings
Polynomial identities
Combinatorial conditions
Ali
Tavakoli
ali_tavakoli_targhi@yahoo.com
true
1
Islamic Azad University - Majlesi Branch
Islamic Azad University - Majlesi Branch
Islamic Azad University - Majlesi Branch
AUTHOR
Alireza
Abdollahi
a.abdollahi@math.ui.ac.ir
true
2
University of Isfahan
University of Isfahan
University of Isfahan
LEAD_AUTHOR
Howard E.
Bell
hbell@brocku.ca
true
3
Brock University
Brock University
Brock University
AUTHOR
ORIGINAL_ARTICLE
A new family in the stable homotopy groups of spheres
Let $p$ be a prime number greater than three. In this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(S)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm Ext}_A^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ up to nonzero scalar in the Adams spectral sequence, where $ngeq m+2>5$, $0leq sExt}_A^{s+2,q[(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ was defined by X. Wang and Q. Zheng.
http://bims.iranjournals.ir/article_204_3e0a128f7a5b367bd3351fe6549af39e.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
313
322
stable homotopy groups of spheres
Adams spectral
sequence
May spectral sequence
Xiugui
Liu
xgliu@nankai.edu.cn
true
1
School of Mathematical Sciences and LPMC,
Nankai University,
Tianjin 300071,
P. R China
School of Mathematical Sciences and LPMC,
Nankai University,
Tianjin 300071,
P. R China
School of Mathematical Sciences and LPMC,
Nankai University,
Tianjin 300071,
P. R China
LEAD_AUTHOR
Kai
Ma
kai-ma@163.com
true
2
Mathematics and Information
Science College,Hebei Normal University, 050016,Shijiazhuang, P. R. China
Mathematics and Information
Science College,Hebei Normal University, 050016,Shijiazhuang, P. R. China
Mathematics and Information
Science College,Hebei Normal University, 050016,Shijiazhuang, P. R. China
AUTHOR
ORIGINAL_ARTICLE
Branches in random recursive k-ary trees
In this paper, using generalized {polya} urn models we find the expected value of the size of a branch in recursive $k$-ary trees. We also find the expectation of the number of nodes of a given outdegree in a branch of such trees.
http://bims.iranjournals.ir/article_200_0fb18b5d341305095aa3c67a34c101b0.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
323
331
trees
random recursive trees
generalized
P'olya urn models
Mehri
Javanian
javanian_m@yahoo.com
true
1
Javanian
Javanian
Javanian
AUTHOR
Mohammad Q.
Vahidi Asl
m-vahidi@sbu.ac.ir
true
2
Vahidi-Asl
Vahidi-Asl
Vahidi-Asl
LEAD_AUTHOR
ORIGINAL_ARTICLE
Horvitz-Thompson estimator of population mean under inverse sampling designs
Inverse sampling design is generally considered to be appropriate technique when the population is divided into two subpopulations, one of which contains only few units. In this paper, we derive the Horvitz-Thompson estimator for the population mean under inverse sampling designs, where subpopulation sizes are known. We then introduce an alternative unbiased estimator, corresponding to post-stratification approach. Both of these are not location-invariant, but this is ignorable for alternative estimator. Using a simulation study, we find that Horvitz-Thompson estimator is an efficient estimator when the mean of the off-interest subpopulation is close to zero while the alternative estimator appears to be an efficient estimator in general.
http://bims.iranjournals.ir/article_255_8bc393a21f635d83fc2a4bdda66f1e39.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
333
347
Finite Population
Inverse Sampling
Post-stratification
Random Sample Size
Mohammad
Mohammadi
m.mohammadi@sci.ui.ac.ir
true
1
School of Mathematical Science, Isfahan University of Technology, Isfahan, Iran.
School of Mathematical Science, Isfahan University of Technology, Isfahan, Iran.
School of Mathematical Science, Isfahan University of Technology, Isfahan, Iran.
LEAD_AUTHOR
Mohammad
Salehi Marzijarani
salehi_m@cc.iut.ac.ir
true
2
Department of Mathematical Sciences, Isfahan University of Technology 84156-83111, Iran;
Department of Mathematics, Statistics and Physics, Qatar University, P.O.Box 2713, Doha, Qatar.
Department of Mathematical Sciences, Isfahan University of Technology 84156-83111, Iran;
Department of Mathematics, Statistics and Physics, Qatar University, P.O.Box 2713, Doha, Qatar.
Department of Mathematical Sciences, Isfahan University of Technology 84156-83111, Iran;
Department of Mathematics, Statistics and Physics, Qatar University, P.O.Box 2713, Doha, Qatar.
AUTHOR
ORIGINAL_ARTICLE
Comparison results on the preconditioned mixed-type splitting
iterative method for M-matrix linear systems
Consider the linear system Ax=b where the coefficient matrix A is an M-matrix. In the present work, it is proved that the rate of convergence of the Gauss-Seidel method is faster than the mixed-type splitting and AOR (SOR) iterative methods for solving M-matrix linear systems. Furthermore, we improve the rate of convergence of the mixed-type splitting iterative method by applying a preconditioned matrix. Comparison theorems show that the rate of convergence of the preconditioned Gauss-Seidel method is faster than the preconditioned mixed-type splitting and AOR (SOR) iterative methods. Finally, some numerical examples are presented to illustrate the reality of our comparison theorems.
http://bims.iranjournals.ir/article_211_dc5b9e9e1b2a179a471b622100c26a58.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
349
367
Linear systems
Mixed-type splitting iterative method
Preconditioned matrix
M-matrix
M.
Mohseni Moghadam
mohseni@mail.uk.ac.ir
true
1
Shahid Bahonar University of Kerman
Shahid Bahonar University of Kerman
Shahid Bahonar University of Kerman
AUTHOR
Fatemeh
Panjeh Ali Beik
f.beik@vru.ac.ir
true
2
Vali-Asr University of Rafsanjan
Vali-Asr University of Rafsanjan
Vali-Asr University of Rafsanjan
LEAD_AUTHOR
ORIGINAL_ARTICLE
An iterative method for amenable semigroup and infinite family of non expansive mappings
in Hilbert spaces
begin{abstract} In this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of Hilbert spaces. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. The results presented in this paper mainly extend the corresponding results announced by Qin et al. [X. Qin, Y. J. Cho, and S. M. Kang, An iterative method for an infinite family of non-expansive mappings in Hilbert spaces, Bull. Malays. Math. Sci. Soc. 32 (2009) 161-171] and many others. end{abstract}
http://bims.iranjournals.ir/article_207_7d5d8ff16fbbbca2e1790a0f9ab74c87.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
369
389
common fixed point
strong convergence
Amenable
semigroup
Husain
Piri
husain.piri@gmail.com
true
1
Department of Mathematics, Bonab Higher Education Complex
Department of Mathematics, Bonab Higher Education Complex
Department of Mathematics, Bonab Higher Education Complex
LEAD_AUTHOR
Hamid
Vaezi
hvaezi@tabrizu.ac.ir
true
2
Faculty of Mathematical Sciences University
of Tabriz, Tabriz, Iran
Faculty of Mathematical Sciences University
of Tabriz, Tabriz, Iran
Faculty of Mathematical Sciences University
of Tabriz, Tabriz, Iran
AUTHOR
ORIGINAL_ARTICLE
Recurrent metrics in the geometry of second order differential equations
Given a pair (semispray $S$, metric $g$) on a tangent bundle, the family of nonlinear connections $N$ such that $g$ is recurrent with respect to $(S, N)$ with a fixed recurrent factor is determined by using the Obata tensors. In particular, we obtain a characterization for a pair $(N, g)$ to be recurrent as well as for the triple $(S, stackrel{c}{N}, g)$ where $stackrel{c}{N}$ is the canonical nonlinear connection of the semispray $S$. Also, the Weyl connection of conformal gauge theories is obtained as a particular case.
http://bims.iranjournals.ir/article_215_dcd58d4931f7da614e2cbc66aa27cade.pdf
2011-02-23T11:23:20
2018-04-22T11:23:20
391
401
Semispray
nonlinear connection
recurrent metric
Obata operators
Mircea
Crasmareanu
mcrasm@uaic.ro
true
1
Faculty of Mathematics
University "Al. I. Cuza"
Iasi, 700506
Faculty of Mathematics
University "Al. I. Cuza"
Iasi, 700506
Faculty of Mathematics
University "Al. I. Cuza"
Iasi, 700506
LEAD_AUTHOR
ORIGINAL_ARTICLE
Projective maximal submodules of extending regular modules
We show that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. Hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. As aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. This generalizes and simplifies a result of Dung and Smith. As another consequence, we observe thatevery right continuous ring, whose maximal right ideals areprojective, is semisimple Artinian. This generalizes some resultsof Osofsky and Karamzadeh. We also observe thatfour classes of rings, namely right $\aleph_0$-continuous rings,right continuous rings, right $\aleph_0$-continuous regular ringsand right continuous regular rings are not axiomatizable.
http://bims.iranjournals.ir/article_407_6a4d7f84d031275eb5d254f9f2871b8d.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
403
412
continuous rings
extending rings
regular
rings
aleph_0-self-injective rings
E.
Momtahan
true
1
Yasouj University
Yasouj University
Yasouj University
LEAD_AUTHOR
ORIGINAL_ARTICLE
Finite p-groups with few non-linear irreducible character kernels
Abstract. In this paper, we classify all of the ﬁnite p-groups with at most three non linear irreducible character kernels.
http://bims.iranjournals.ir/article_208_69f56c704b32022bc49cb06797e62448.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
413
422
Minimal normal subgroups
few character kernels
strong and weak conditions
Hossein
Doostie
doostih@tmu.as.ir
true
1
Tarbiat Moallem University
Tarbiat Moallem University
Tarbiat Moallem University
AUTHOR
Amin
Saeidi
saeidi.amin@gmail.com
true
2
Tarbiat Moallem University
Tarbiat Moallem University
Tarbiat Moallem University
LEAD_AUTHOR
ORIGINAL_ARTICLE
Invariance of the barycentric subdivision of a simplicial complex
In this paper we prove that a simplicial complex is determined uniquely up to isomorphism by its barycentric subdivision as well as its comparability graph. We also put together several algebraic, combinatorial and topological invariants of simplicial complexes.
http://bims.iranjournals.ir/article_212_de5bc8c7b7b3dc3bfb85ee068f5d21f6.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
423
432
Simplicial complex
comparability graph
barycentric subdivision
Rashid
Zaare-Nahandi
rashidzn@iasbs.ac.ir
true
1
Institute for Advanced Studies in Basic Sciences
Institute for Advanced Studies in Basic Sciences
Institute for Advanced Studies in Basic Sciences
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Rickart modules
Let $R$ be an arbitrary ring with identity and $M$ a right $R$-module with $S=$ End$_R(M)$. The module $M$ is called {it Rickart} if for any $fin S$, $r_M(f)=Se$ for some $e^2=ein S$. We prove that some results of principally projective rings and Baer modules can be extended to Rickart modules for this general settings.
http://bims.iranjournals.ir/article_209_a482f3c0119843e2d96bfda7f6af9907.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
433
445
Rickart modules
Baer modules
reduced
modules
rigid modules
S
Agayev
true
1
Eropean University of Lefke, Cyprus
Eropean University of Lefke, Cyprus
Eropean University of Lefke, Cyprus
AUTHOR
S
Halicioglu
halici@ankara.edu.tr
true
2
Department of Mathematics
Ankara University
Department of Mathematics
Ankara University
Department of Mathematics
Ankara University
LEAD_AUTHOR
A
Harmanci
true
3
Hacettepe University, Turkey
Hacettepe University, Turkey
Hacettepe University, Turkey
AUTHOR
ORIGINAL_ARTICLE
Optimal order finite element approximation for a hyperbolic integro-differential equation
Semidiscrete finite element approximation of a hyperbolic type integro-differential equation is studied. The model problem is treated as the wave equation which is perturbed with a memory term. Stability estimates are obtained for a slightly more general problem. These, based on energy method, are used to prove optimal order a priori error estimates.
http://bims.iranjournals.ir/article_201_e72a83b9b71c31f92537ef2e58b72810.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
447
459
finite element method
wave equation
integro-differential equation
Stability
a priori error estimate
Fardin
Saedpanah
f_saedpanah@yahoo.com
true
1
University of Kurdistan,
Department of Mathematics
University of Kurdistan,
Department of Mathematics
University of Kurdistan,
Department of Mathematics
LEAD_AUTHOR
ORIGINAL_ARTICLE
Properties of multivalent functions associated with certain integral operator
Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.
http://bims.iranjournals.ir/article_198_05b363674deba2ef06e6925dc08db279.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
461
468
Multivalent function
analytic function
integral operator
Jin-Lin
Liu
jlliu@yzu.edu.cn
true
1
Department of Mathematics, Yangzhou University
Department of Mathematics, Yangzhou University
Department of Mathematics, Yangzhou University
LEAD_AUTHOR
ORIGINAL_ARTICLE
Applications of epi-retractable modules
An R-module M is called epi-retractable if every submodule of MR is a homomorphic image of M. It is shown that if R is a right perfect ring, then every projective slightly compressible module MR is epi-retractable. If R is a Noetherian ring, then every epi-retractable right R-module has direct sum of uniform submodules. If endomorphism ring of a module MR is von-Neumann regular, then M is semi-simple if and only if M is epi-retractable. If R is a quasi Frobenius ring, then R is a right hereditary ring if and only if every injective right R-module is semi-simple. A ring R is semi-simple if and only if R is right hereditary and every epiretractable right R-module is projective. Moreover, a ring R is semi-simple if and only if R is a pri and von-Neumann regular.
http://bims.iranjournals.ir/article_202_388757ddee7a3a67ab050c9a998e2049.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
469
477
Epi-retractable modules
semi-simple rings
Perfect rings
Hereditary rings
von-Numann regular rings
Bashishth
Pandeya
bmpandeya@bhu.ac.in
true
1
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.
AUTHOR
Avanish
Chaturvedi
akc99@rediffmail.com
true
2
Department of Mathematics, Jaypee Institute of Information Technology,
(Deemed University) A-10, Sector-62, Noida-201307 (UP), India
Department of Mathematics, Jaypee Institute of Information Technology,
(Deemed University) A-10, Sector-62, Noida-201307 (UP), India
Department of Mathematics, Jaypee Institute of Information Technology,
(Deemed University) A-10, Sector-62, Noida-201307 (UP), India
LEAD_AUTHOR
Ashok
Gupta
ashokg@bhu.ac.in
true
3
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.
Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.
AUTHOR
ORIGINAL_ARTICLE
Some vector fields on a riemannian manifold with semi-symmetric metric connection
In the first part of this paper, some theorems are given for a Riemannian manifold with semi-symmetric metric connection. In the second part of it, some special vector fields, for example, torse-forming vector fields, recurrent vector fields and concurrent vector fields are examined in this manifold. We obtain some properties of this manifold having the vectors mentioned above.
http://bims.iranjournals.ir/article_203_231ecca82cd01017b92531f34000f4d6.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
479
490
Semi-symmetric metric connection
sectional curvature
conformally flat manifold
pseudo symmetric manifold
concircular
vector field
Füsun
Özen Zengin
fozen@itu.edu.tr
true
1
Istanbul Technical University
Istanbul Technical University
Istanbul Technical University
LEAD_AUTHOR
Sezgin
Altay Demirbag
saltay@itu.edu.tr
true
2
Istanbul Technical University
Istanbul Technical University
Istanbul Technical University
AUTHOR
S. Aynur
Uysal
auysal@dogus.edu.tr
true
3
Dogus University
Dogus University
Dogus University
AUTHOR
Hülya
Bagdatli Yilmaz
hbagdatli@marmara.edu.tr
true
4
Marmara University
Marmara University
Marmara University
AUTHOR
ORIGINAL_ARTICLE
Riordan group approaches in matrix factorizations
In this paper, we consider an arbitrary binary polynomial sequence {A_n} and then give a lower triangular matrix representation of this sequence. As main result, we obtain a factorization of the innite generalized Pascal matrix in terms of this new matrix, using a Riordan group approach. Further some interesting results and applications are derived.
http://bims.iranjournals.ir/article_205_da5f4f10d7f10a4b73c7db3f21ccb967.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
491
506
Riordan Group
Factorization
Binary Recurrences
Pascal Matrix
Emrah
Kilic
ekilic@etu.edu.tr
true
1
TOBB University of Economics and Technology Mathematics Department
TOBB University of Economics and Technology Mathematics Department
TOBB University of Economics and Technology Mathematics Department
LEAD_AUTHOR
Nese
Omur
neseomur@kocaeli.edu.tr
true
2
Kocaeli University Mathematics Department
Kocaeli University Mathematics Department
Kocaeli University Mathematics Department
AUTHOR
Gulfer
Tatar
gulfera@kocaeli.edu.tr
true
3
Kocaeli University Mathematics Department
Kocaeli University Mathematics Department
Kocaeli University Mathematics Department
AUTHOR
ORIGINAL_ARTICLE
Some homological properties of amalgamated duplication of a ring along an ideal
In this work, we investigate the transfer of some homological properties from a ring $R$ to its amalgamated duplication along some ideal $I$ of $R$ $Rbowtie I$, and then generate new and original families of rings with these properties.
http://bims.iranjournals.ir/article_210_485789e3f153661d4d8c1136c73cb0d1.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
507
515
Amalgamated
Perfect ring
(n
d)-ring
Mohamed
Chhiti
chhiti.med@hotmail.com
true
1
University of Fez, Fez, Morocco
University of Fez, Fez, Morocco
University of Fez, Fez, Morocco
AUTHOR
Najib
Mahdou
mahdou@hotmail.com
true
2
Department of Mathematics, Faculty of Sciences and Technology, University of Fez, Fez, Morocco.
Department of Mathematics, Faculty of Sciences and Technology, University of Fez, Fez, Morocco.
Department of Mathematics, Faculty of Sciences and Technology, University of Fez, Fez, Morocco.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A note on the socle of certain types of f-rings
For any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. The condition is that every minimal ideal of the ring consist entirely of bounded elements. It is not too stringent, and is satisfied, for instance, by rings of continuous functions.
http://bims.iranjournals.ir/article_214_3c1783bf3988903f43f20700e3e575bc.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
517
528
frame
function rings
ideal
socle
Themba
Dube
tdube2013@yahoo.co.za
true
1
University of South Africa
University of South Africa
University of South Africa
LEAD_AUTHOR
ORIGINAL_ARTICLE
Ring structures of mod p equivariant cohomology rings and ring homomorphisms between them
In this paper, we consider a class of connected oriented (with respect to Z/p) closed G-manifolds with a non-empty finite fixed point set, each of which is G-equivariantly formal, where G = Z/p and p is an odd prime. Using localization theorem and equivariant index, we give an explicit description of the mod p equivariant cohomology ring of such a G-manifold in terms of algebra. This makes it possible to determine the number of equivariant cohomology rings (up to isomorphism) of such 2-dimensional G-manifolds. Moreover, we obtain a description of the ring homomorphism between equivariant cohomology rings of such two G-manifolds induced by a G-equivariant map, and show a characterization of the ring homomorphism.
http://bims.iranjournals.ir/article_217_d78bd5727580f199e3b327f8189d5d8a.pdf
2012-07-15T11:23:20
2018-04-22T11:23:20
529
542
G-manifold
equivariant index
equivariant cohomology
ring homomorphism
Yanchang
Chen
cyc810707@163.com
true
1
College of Mathematics and Information Science, Hebei Normal University, Yuhua
Road 113, Shijiazhuang 050016, P. R. China
College of Mathematics and Information Science, Hebei Normal University, Yuhua
Road 113, Shijiazhuang 050016, P. R. China
College of Mathematics and Information Science, Hebei Normal University, Yuhua
Road 113, Shijiazhuang 050016, P. R. China
AUTHOR
Yanying
Wang
wyanying2003@yahoo.com.cn
true
2
College of Mathematics and Information Science, Hebei Normal University, Yuhua Road 113, Shijiazhuang 050016, P. R. China
College of Mathematics and Information Science, Hebei Normal University, Yuhua Road 113, Shijiazhuang 050016, P. R. China
College of Mathematics and Information Science, Hebei Normal University, Yuhua Road 113, Shijiazhuang 050016, P. R. China
LEAD_AUTHOR