Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
29
Stochastic differential inclusions of semimonotone type in Hilbert spaces
291
306
EN
H.
Abedi
University of Kashan
h.abedi7@gmail.com
In this paper, we study the existence of generalized solutions for
the infinite dimensional nonlinear stochastic differential
inclusions $dx(t) in F(t,x(t))dt +G(t,x(t))dW_t$ in which the multifunction $F$
is semimonotone and hemicontinuous and the operator-valued multifunction $G$ satisfies a Lipschitz condition.
We define the It^{o} stochastic integral of operator set-valued stochastic processes
with respect to the cylindrical Brownian motion on separable Hilbert spaces.
Then, we generalize the existence results for
differential inclusions in [H. Abedi and R. Jahanipur, Nonlinear differential inclusions of semimonotone and
condensing type in Hilbert spaces,
textit{Bull. Korean Math. Soc.},
{52} (2015), no. 2, 421--438.] to the corresponding stochastic differential inclusions
using the methods discussed in [R. Jahanipur, Nonlinear functional differential equations of monotone-type in
Hilbert spaces, {it Nonlinear Analysis} {bf 72} (2010), no. 3-4, 1393--1408,
R. Jahanipur, Stability of stochastic delay evolution equations with monotone
nonlinearity, {it Stoch. Anal. Appl.}, {bf 21} (2003), 161--181, and
R. Jahanipur, Stochastic functional evolution equations with monotone
nonlinearity: existence and stability of the mild solutions, {it J. Differential Equations} {bf 248} (2010), no. 5, 1230--1255.]
Stochastic differential inclusions,Stochastic set-valued integrals,Generalized solutions,Semimonotone and hemicontinuous set-valued process
http://bims.iranjournals.ir/article_609.html
http://bims.iranjournals.ir/article_609_1f6207d995c810c1dfea87b7aad3943e.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Periodic solutions of fourth-order delay differential equation
307
314
EN
S.
Balamuralitharan
SRM UNIVERSITY,
balamurali.maths@gmail.com
In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$ is investigated. Some new positive periodic criteria are given.
Fourth-order delay differential equation,periodic solutions
http://bims.iranjournals.ir/article_610.html
http://bims.iranjournals.ir/article_610_0669d6cfade607a09955798000b786fb.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
On group equations
315
324
EN
S. K.
Prajapati
Postdoctoral Fellow, Indian Statistical Institute Bangalore, India
skprajapati.iitd@gmail.com
R.
Sarma
Assistant Professor in Indian Institute of Technology Delhi, India.
ritumoni@maths.iitd.ac.in
Suppose $f$ is a map from a non-empty finite set $X$ to a finite group $G$. Define the map $zeta^f_G: Glongrightarrow mathbb{N}cup {0}$ by $gmapsto |f^{-1}(g)|$. In this article, we show that for a suitable choice of $f$, the map $zeta^f_G$ is a character. We use our results to show that the solution function for the word equation $w(t_1,t_2,dots,t_n)=g$ ($gin G$) is a character, where $w(t_1,t_2,dots,t_n)$ denotes the product of $t_1,t_2,dots,t_n,t_1^{-1},t_2^{-1},dots,t_n^{-1}$ in a randomly chosen order.
finite groups,word equations,group characters
http://bims.iranjournals.ir/article_611.html
http://bims.iranjournals.ir/article_611_12adc2b3a8b377f26a5c5fcccd2a6e5e.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
On convolution properties for some classes of meromorphic functions associated with linear operator
325
332
EN
A. O.
Mostafa
Mansoura University
adelaeg254@yahoo.com
M. K.
Aouf
Mansoura University
mkaouf127@yahoo.com
In this paper, we defined two classes $S_{p}^{ast }(n,lambda ,A,B)$ and\ $ K_{p}(n,lambda ,A,B)$ of meromorphic $p-$valent functions associated with a new linear operator. We obtained convolution properties for functions in these classes.
meromorphic functions,Subordination,Hadamard product,Linear operator
http://bims.iranjournals.ir/article_612.html
http://bims.iranjournals.ir/article_612_590cf75895c8f28ff23ee8a78d859103.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Sinc-Galerkin method for solving a class of nonlinear two-point boundary value problems
333
352
EN
J.
Rashidinia
Iran University of Science and Technology.
rashidinia@iust.ac.ir
M.
Nabati
Iran University of Science and Technology
m_nabati@iust.ac.ir
S.
Ahanj
Iran University of Science and Technology
sara_ahj@yahoo.com
In this article, we develop the Sinc-Galerkin method based on double exponential transformation for solving a class of weakly singular nonlinear two-point boundary value problems with nonhomogeneous boundary conditions. Also several examples are solved to show the accuracy efficiency of the presented method. We compare the obtained numerical results with results of the other existing methods in the literature. The results of this paper confirm that our method is very fast, simple and considerably accurate.
Sinc-Galerkin method,double exponential transformation,nonlinear singular boundary value problems,ordinary differential equation
http://bims.iranjournals.ir/article_613.html
http://bims.iranjournals.ir/article_613_9389951776f7625517a1549fb3b42656.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Linear Weingarten hypersurfaces in a unit sphere
353
362
EN
X.
Chao
Southeast University, 210096, Nanjing, P. R. China
xlchao@seu.edu.cn
In this paper, by modifying Cheng-Yau$'$s technique to complete hypersurfaces in $S^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [H. Li, Hypersurfaces with constant scalar curvature in space forms, {em Math. Ann.} {305} (1996), 665--672].
Linear Weingarten hypersurface,generalized maximum principle,rigidity
theorem
http://bims.iranjournals.ir/article_614.html
http://bims.iranjournals.ir/article_614_467b351f3229b132f0998ad7225bab2f.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
The distributional Henstock-Kurzweil integral and measure differential equations
363
374
EN
H.
Zhou
ollege of Science,
Hohai University, Nanjing 210098, P. R. China
linyizhouhao@126.com
G.
Ye
College of Science, Hohai University, Nanjing 210098, P. R. China
yegj@hhu.edu.cn
W.
Liu
College of Science, Hohai University, Nanjing 210098, P. R. China
liuw626@163.com
O.
Wang
College of Science, Hohai University, Nanjing 210098, P. R. China
18751985160@163.com
In the present paper, measure differential equations involving the distributional Henstock-Kurzweil integral are investigated. Theorems on the existence and structure of the set of solutions are established by using Schauder$^prime s$ fixed point theorem and Vidossich theorem. Two examples of the main results paper are presented. The new results are generalizations of some previous results in the literatures.
Distributional Henstock-Kurzweil integral,measure differential equation,Henstock-Stieltjes
integral,distributional derivative
http://bims.iranjournals.ir/article_615.html
http://bims.iranjournals.ir/article_615_8acffba2959061d65bbf251eaa1fa65b.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Almost power-Hermitian rings
375
380
EN
N.
Ashrafi
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
ashrafi49@yahoo.com
M.
Sheibani
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
m.sheibani1@gmail.com
H.
Dehghany
Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran
hajardehghany90@gmail.com
In this paper we define a new type of rings ”almost powerhermitian rings” (a generalization of almost hermitian rings) and establish several sufficient conditions over a ring R such that, every regular matrix admits a diagonal power-reduction.
Diagonal power-reduction,exchange ring,regular ring,power-substitution property
http://bims.iranjournals.ir/article_616.html
http://bims.iranjournals.ir/article_616_9038a415f2fd2179c7f8050f766797db.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
On spectral radius of strongly connected digraphs
381
387
EN
J.
Li
Department of Mathematics, South China Normal University,
and
Faculty of Applied
Mathematics,
Guangdong University of Technology
lijp06@163.com
B.
Zhou
Department of
Mathematics, South China Normal University, Guangzhou 510631, P. R. China
zhoubo@scnu.edu.cn
It is known that the directed cycle of order $n$ uniquely achieves the minimum spectral
radius among all strongly connected digraphs of order $nge 3$.
In this paper, among others, we determine the digraphs which achieve the second, the third
and the fourth minimum spectral radii respectively among strongly connected
digraphs of order $nge 4$.
Spectral radius,strongly connected digraph,nonnegative irreducible matrix,bicyclic digraph
http://bims.iranjournals.ir/article_617.html
http://bims.iranjournals.ir/article_617_ba726fe1c4c511605c20112260ca365b.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Uncountably many bounded positive solutions for a second order nonlinear neutral delay partial difference equation
389
405
EN
Z.
Liu
Liaoning Normal University
zeqingliu@163.com
Z.
Wu
Liaoning Normal University
zhihuawu_dl@163.com
J. S.
Ume
Department of Mathematics, Changwon National University
jsume@changwon.ac.kr
S. M.
Kang
Gyeongsang National University
smkang@gnu.ac.kr
In this paper we consider the second order nonlinear neutral delay partial difference equation $Delta_nDelta_mbig(x_{m,n}+a_{m,n}x_{m-k,n-l}big)+ fbig(m,n,x_{m-tau,n-sigma}big)=b_{m,n}, mgeq m_{0},, ngeq n_{0}.$Under suitable conditions, by making use of the Banach fixed point theorem, we show the existence of uncountably many bounded positive solutions for the above partial difference equation. Three nontrivial examples are given to illustrate the advantages of our results.
Uncountably many bounded
positive solutions,second order nonlinear neutral delay partial
difference equation,Banach fixed point theorem
http://bims.iranjournals.ir/article_618.html
http://bims.iranjournals.ir/article_618_f85997965fd591bde2437b36149d7fd1.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Random coincidence point results for weakly increasing functions in partially ordered metric spaces
407
422
EN
A. R.
Khan
Department of Mathematics and Statistics, King Fahd University of
Petroleum and Minerals, Dhahran, 3126, Saudia Arabia
arahim@kfupm.edu.sa
N.
Hussain
Department of Mathematics, King Abdulaziz University, P.O.
Box 80203, Jeddah, 21589, Saudi Arabia
nhusain@kau.edu.sa
N.
Yasmin
Centre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
usyasmin@yahoo.com
N.
Shafqat
entre for Advanced Studies
in Pure and Applied Mathematics, Bahauudin Zakariya University, Multan, 60800, Pakistan
naeem781625@yahoo.com
The aim of this paper is to establish random coincidence
point results for weakly increasing random operators in the setting
of ordered metric spaces by using generalized altering distance
functions. Our results present random versions and extensions of
some well-known results in the current literature.
Random coincidence point,altering distance function,partially
ordered metric space
http://bims.iranjournals.ir/article_619.html
http://bims.iranjournals.ir/article_619_396d1f2ed3aa9d2b238c83b851db8e48.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
The Artinian property of certain graded generalized local chohomology modules
423
428
EN
Y.
Gu
Department of Mathematics, Soochow University
guyan@suda.edu.cn
L.
Chu
Department of Mathematics, Soochow University
chulizhong@suda.edu.cn
Let $R=oplus_{nin Bbb N_0}R_n$ be a Noetherian homogeneous ring with local base ring $(R_0,frak{m}_0)$, $M$ and $N$ two finitely generated graded $R$-modules. Let $t$ be the least integer such that $H^t_{R_+}(M,N)$ is not minimax. We prove that $H^j_{frak{m}_0R}(H^t_{R_+}(M,N))$ is Artinian for $j=0,1$. Also, we show that if ${rm cd}(R_{+},M,N)=2$ and $tin Bbb N_0$, then $H^t_{frak{m}_0R}(H^2_{R_+}(M,N))$ is Artinian if and only if $H^{t+2}_{frak{m}_0R}(H^1_{R_+}(M,N))$ is Artinian.
Graded local cohomology modules,Artinian
modules,minimax
http://bims.iranjournals.ir/article_620.html
http://bims.iranjournals.ir/article_620_5dcf718447115c1d4444aeb030bb8f56.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
On certain subclasses of univalent $p$-harmonic mappings
429
451
EN
J.
Qiao
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People&#039;s Republic of China
mathqiao@126.com
J.
Chen
School of Science,
Hebei University of Engineering, Handan, Hebei 056038, People's
Republic of China
jiqiang516@163.com
M.
Shi
Department of Mathematics,
Hebei University, Baoding, Hebei 071002, People's Republic of China
mingyulj08@163.com
Inthis paper, the main aim is to introduce the class $mathcal{U}_p(lambda,alpha,beta,k_0)$ of $p$-harmonic mappings togetherwith its subclasses $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ and $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p^0$, andinvestigate the properties of the mappings in these classes. First,we give a sufficient condition for mappings to be in $mathcal{U}_p(lambda,alpha,beta,k_0)$ and also the characterization ofmappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal{T}_p$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leqalphaleq lambda$. Second, we consider the starlikeness ofmappings in $mathcal {U}_p(lambda,alpha,beta,k_0)capmathcal{T}_p^0$ for $max{0,frac{lambda-frac{1}{2}}{lambda+1}}leqalphaleq lambda$. Third, extreme points of $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleqlambda$ are found. The support points of $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleqlambda$ and convolution of mappings in $mathcal{U}_p(lambda,alpha,beta,k_0)capmathcal {T}_p$ for$max{0,frac{lambda-frac{1}{2}}{lambda+1}}leq alphaleqlambda$ are also discussed.
$p$-harmonic mapping,uniform convexity,uniform starlikeness,extreme point,support point
http://bims.iranjournals.ir/article_621.html
http://bims.iranjournals.ir/article_621_d88bf78f4330420a24f1a321805a7cc7.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
29
On constant products of elements in skew polynomial rings
453
462
EN
W.
Chen
School of Mathematics and Information Science, Shandong Institute of Business
and Technology, Yantai, 264005)
wxchen5888@163.com
Let $R$ be a reversible ring which is $alpha$-compatible for an endomorphism $alpha$ of $R$ and $f(X)=a_0+a_1X+cdots+a_nX^n$ be a nonzero skew polynomial in $R[X;alpha]$. It is proved that if there exists a nonzero skew polynomial $g(X)=b_0+b_1X+cdots+b_mX^m$ in $R[X;alpha]$ such that $g(X)f(X)=c$ is a constant in $R$, then $b_0a_0=c$ and there exist nonzero elements $a$ and $r$ in $R$ such that $rf(X)=ac$. In particular, $r=ab_p$ for some $p$, $0leq pleq m$, and $a$ is either one or a product of at most $m$ coefficients from $f(X)$. Furthermore, if $b_0$ is a unit in $R$, then $a_1,a_2,cdots, a_n$ are all nilpotent. As an application of the above result, it is proved that if $R$ is a weakly 2-primal ring which is $alpha$-compatible for an endomorphism $alpha$ of $R$, then a skew polynomial $f(X)$ in $R[X;alpha]$ is a unit if and only if its constant term is a unit in $R$ and other coefficients are all nilpotent.
Constant products,skew polynomial rings,reversible rings,weakly 2-primal rings
http://bims.iranjournals.ir/article_622.html
http://bims.iranjournals.ir/article_622_9f1ac6891d2a8dd6f84d434909052144.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Conformal mappings preserving the Einstein tensor of Weyl manifolds
463
475
EN
M.
Gürlek
Istanbul Technical university
Maslak
mgurlek@itu.edu.tr
G.
Çivi
Istanbul technical university
Faculty of Science and letters, dept . of Math., maslak
civi@itu.edu.tr
In this paper, we obtain a necessary and sufficient condition for a conformal mapping between two Weyl manifolds to preserve Einstein tensor. Then we prove that some basic curvature tensors of $W_n$ are preserved by such a conformal mapping if and only if the covector field of the mapping is locally a gradient. Also, we obtained the relation between the scalar curvatures of the Weyl manifolds related by a conformal mapping preserving the Einstein tensor with a gradient covector field. Then, we prove that a Weyl manifold $W_n$ and a flat Weyl manifold $tilde{W}_n$, which are in a conformal correspondence preserving the Einstein tensor are Einstein-Weyl manifolds. Moreover, we show that an isotropic Weyl manifold is an Einstein-Weyl manifold with zero scalar curvature and we obtain that a Weyl manifold $W_n$ and an isotropic Weyl manifold related by the conformal mapping preserving the Einstein tensor are Einstein-Weyl manifolds.
Weyl manifold,Einstein tensor,conformal mapping,flat Weyl manifold,isotropic Weyl manifold
http://bims.iranjournals.ir/article_623.html
http://bims.iranjournals.ir/article_623_d097ee44c57dfd39ee745fc63874c1bf.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
On difference sequence spaces defined by Orlicz functions without convexity
477
489
EN
H.
Dutta
Department of Mathematics, Gauhati University,
Guwahati-781014, Assam, India
hemen_dutta08@rediffmail.com
L.
Kočinac
Univeristy of East Sarajevo
Bosnia and Herzegovina
lkocinac@gmail.com
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
Difference sequence space,$K$-function,$F$-space,$AK$-space,Frechet space
http://bims.iranjournals.ir/article_624.html
http://bims.iranjournals.ir/article_624_f4c7b7c1145153b4c782097906dcbcf9.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation
491
498
EN
Y.
Huang
Chuxiong Normal University
huang11261001@163.com
Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude depend on some rational functions.
Lax system,KdV
equation,Darboux transformation,singular periodic solution
http://bims.iranjournals.ir/article_625.html
http://bims.iranjournals.ir/article_625_b2a5ddcacb911eb08615e742f7225ac1.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
On the non-split extension $2^{2n}{^{cdot}}Sp(2n,2)$
499
518
EN
A. B. M.
Basheer
School of Mathematical Sciences, North-West University (Mafikeng)
ayoubbasheer@gmail.com
J.
Moori
North-West University
jamshid.moori@nwu.ac.za
In this paper we give some general results on the non-splitextension group $overline{G}_{n} = 2^{2n}{^{cdot}}Sp(2n,2), ngeq2.$ We then focus on the group $overline{G}_{4} =2^{8}{^{cdot}}Sp(8,2).$ We construct $overline{G}_{4}$ as apermutation group acting on 512 points. The conjugacy classes aredetermined using the coset analysis technique. Then we determine theinertia factor groups and Fischer matrices, which are required forthe computations of the character table of $overline{G}_{4}$ bymeans of Clifford-Fischer Theory. There are two inertia factorgroups namely $H_{1} = Sp(8,2)$ and $H_{2} = 2^{7}{:}Sp(6,2),$ theSchur multiplier and hence the character table of the correspondingcovering group of $H_{2}$ were calculated. Using the information onconjugacy classes, Fischer matrices and ordinary and projectivetables of $H_{2},$ we concluded that we only need to use theordinary character table of $H_{2}$ to construct the character tableof $overline{G}_{4}.$ The Fischer matrices of $overline{G}_{4}$are all listed in this paper. The character table of$overline{G}_{4}$ is a $195 times 195$ complex valued matrix, ithas been supplied in the PhD Thesis of the firstauthor, which could be accessed online.
Group extensions,symplectic group,character
table,inertia groups,Fischer matrices
http://bims.iranjournals.ir/article_626.html
http://bims.iranjournals.ir/article_626_fbf7a9d839898e046b0c428064dd9515.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Application of measures of noncompactness to infinite system of linear equations in sequence spaces
519
527
EN
A.
Alotaibi
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
mathker11@hotmail.com
M.
Mursaleen
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
mursaleenm@gmail.com
S. A.
Mohiuddine
Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
mohiuddine@gmail.com
G. Darbo [Rend. Sem. Math. Univ. Padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. In this paper, we apply the Darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.
Sequence spaces,matrix transformations,Hausdorff measure of noncompactness,Darbo's
fixed point theorem,infinite system of linear equations
http://bims.iranjournals.ir/article_627.html
http://bims.iranjournals.ir/article_627_feb3b9c527fe3048301249148495a3d7.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Generalized Drazin inverse of certain block matrices in Banach algebras
529
542
EN
M. Z.
Kolundžija
University of Nis,
Faculty of Science and Mathematics
mkolundzija@pmf.ni.ac.rs
D.
Mosić
University of Niš,
Faculty of Science and Mathematics
dijana@pmf.ni.ac.rs
D. S.
Djordjević
University of Nis, Faculty of Science and Mathematics
dragan@pmf.ni.ac.rs
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
Generalized Drazin inverse,Schur
complement,block matrix
http://bims.iranjournals.ir/article_628.html
http://bims.iranjournals.ir/article_628_ac76307ab2166b9e759cb6eb26ddd98f.pdf
Iranian Mathematical Society (IMS)
Bulletin of the Iranian Mathematical Society
1017-060X
1735-8515
41
2
2015
04
01
Erratum: Applications of epi-retractable and co-epi-retractable modules
543
544
EN
H.
Mostafanasab
University of Mohaghegh Ardabili
h.mostafanasab@gmail.com
In this errata, we reconsider and modify two propositions and their corollaries which were written on epi-retractable and co-epi-retractable modules.
Epi-retractable modules,co-epi-retractable modules,Hereditary rings
http://bims.iranjournals.ir/article_629.html
http://bims.iranjournals.ir/article_629_0fa67d26b80a82147d5fff272a9eb0f9.pdf