2018-07-22T16:57:30Z
http://bims.iranjournals.ir/?_action=export&rf=summon&issue=58
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Hyers-Ulam-Rassias stability of a composite
functional equation in various normed spaces
H.
Azadi Kenary
In this paper, we prove the generalized Hyers-Ulam(or Hyers-Ulam-Rassias ) stability of the following composite functional equation f(f(x)-f(y))=f(x+y)+f(x-y)-f(x)-f(y) in various normed spaces.
Generalized Hyers-Ulam stability
random normed space
non-Archimedean normed spaces
fixed point method
2013
07
01
383
403
http://bims.iranjournals.ir/article_418_aed1e9f7f9878d1f0b43d5533e3a8583.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
A note on superspecial and maximal curves
A.
Kazemifard
A.
Naghipour
S.
Tafazolian
In this note we review a simple criterion, due to Ekedahl, for superspecial curves defined over finite fields.Using this we generalize and give some simple proofs for some well-known superspecial curves.
Cartier operator
Supersingular curves
finite fields
maximal curves
2013
07
01
405
413
http://bims.iranjournals.ir/article_419_6a4faa2252a2fb3c19cfbeaa4eca5fa5.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Contact CR-Warped product submanifolds in Kenmotsu space forms
M.
Atceken
Abstract: In the present paper, we give a necessary and sufficient condition for contact CR-warped product to be contact CR-product in Kenmotsu space forms.
Kenmotsu space form
Contact CR-warped product
Contact CR-product
2013
07
01
415
429
http://bims.iranjournals.ir/article_420_56f4f671492858923dbce165596202a3.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
On the convergence of three-step random iterative procesess with errors
of nonself asymptotically nonexpansive random
mappings
R.
Rashwan
D.
Al-Baqeri
begin{abstract} In this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable Banach space. end{abstract}
Asymptotically nonexpansive nonself random mapping
Weak and strong convergence
Common random fixed points
Completely continuous
Opial's condition
2013
07
01
431
453
http://bims.iranjournals.ir/article_421_aa474a911e5779057293406860aac8c4.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Localization operators on homogeneous spaces
R.
Kamyabi Gol
F.
Esmaeelzadeh
R.
Raisi Tousi
Let $G$ be a locally compact group, $H$ be a compact subgroup of $G$ and $varpi$ be a representation of the homogeneous space $G/H$ on a Hilbert space $mathcal H$. For $psi in L^p(G/H), 1leq p leqinfty$, and an admissible wavelet $zeta$ for $varpi$, we define the localization operator $L_{psi,zeta} $ on $mathcal H$ and we show that it is a bounded operator. Moreover, we prove that the localization operator is in Schatten $p$-class and also it is a compact operator for $ 1leq p leqinfty$.
Homogenous space
square integrable representation
n localization operator
Schatten $p$-class operator
2013
07
01
455
467
http://bims.iranjournals.ir/article_422_8480c0250cbcd89dcc3dc2b6983c19d5.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
On pairwise weakly Lindelof bitopological spaces
A.
Kilicman
Z.
Salleh
In the present paper we introduce and study the notion of pairwise weakly Lindelof bitopological spaces and obtain some results. Further, we also study the pairwise weakly Lindelof subspaces and subsets, and investigate some of their properties. It was proved that a pairwise weakly Lindelof property is not a hereditary property.
bitopological space
ij-weakly Lindelof
pairwise
weakly Lindelof
ij-weakly Lindelof relative
ij-regular open and ij-regular closed
2013
07
01
469
485
http://bims.iranjournals.ir/article_423_9d5d1804ff1eebe8d009877fcc795014.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
On nilpotent and solvable polygroups
H.
Aghabozorgi
M.
Jafarpour
B.
Davvaz
Applications of hypergroups have mainly appeared in special subclasses. One of the important subclasses is the class of polygroups. In this paper, we study the notions of nilpotent and solvable polygroups by using the notion of heart of polygroups. In particular, we give a necessary and sufficient condition between nilpotent (solvable) polygroups and fundamental groups.
(semi)hypergroup
polygroup
derived polygroup
nilpotent
2013
07
01
487
499
http://bims.iranjournals.ir/article_424_1382aa8542282fb58e8f5814d16a8370.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Maximum sum element orders of all proper subgroups of
PGL(2, q)
S.
Jafarian Amri
In this paper we show that if q is a power of a prime p , then the projective special linear group PSL(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group PGL(2, q) for q odd and even respectively
linear groups
maximal subgroups
element order
2013
07
01
501
505
http://bims.iranjournals.ir/article_425_131e9bcb13643b18ecd70f5a42b54a7b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
phi-Amenable and phi-biflat Banach algebras
Z.
Ghorbani
M.
Lashkarizadeh Bami
In this paper we study the concept of ph-biatness ofa Banach algebra A, where ph is a continuous homomorphism on A.We prove that if ph is a continuous epimorphism on A and A hasa bounded approximate identity and A is ph- biat, then A is ph-amenable. In the case where ph is an isomorphism on A we showthat the ph- amenability of A implies its ph-biatness.
Banach algebra
ph-biat
ph-amenable
2013
07
01
507
515
http://bims.iranjournals.ir/article_426_7cc478cf8c3e322dd9f487c878ba4cfc.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
On solubility of groups with finitely many centralizers
M.
Zarrin
For any group G, let C(G) denote the set of centralizers of G.We say that a group G has n centralizers (G is a Cn-group) if |C(G)| = n.In this note, we prove that every ﬁnite Cn-group with n ≤ 21 is soluble andthis estimate is sharp. Moreover, we prove that every ﬁnite Cn-group with|G| < 30n+1519 is non-nilpotent soluble. This result gives a partial answer to aconjecture raised by A. Ashraﬁ in 2000
centralizer
n-centralizer group
soluble group
2013
07
01
517
521
http://bims.iranjournals.ir/article_427_8d03882cd4079696032e9bedcf5e7396.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Completely coretractable rings
J.
Zemlicka
A module $M$ is said to be coretractable if there exists a nonzero homomorphism of every nonzero factor of $M$ into $M$. We prove that all right (left) modules over a ring are coretractable if and only if the ring is Morita equivalent to a finite product of local right and left perfect rings.
coretractable module
retractable module
Kash ring
2013
07
01
523
528
http://bims.iranjournals.ir/article_428_5da7b8715fe169e19d3b38146e66c250.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Asymptotic properties of the sample mean in adaptive sequential sampling with multiple selection criteria
A.
Parvardeh
B.
Panahbehagh
M.
Salehi
J.
Brown
D.
Smith
We extend the method of adaptive two-stage sequential sampling toinclude designs where there is more than one criteria is used indeciding on the allocation of additional sampling effort. Thesecriteria, or conditions, can be a measure of the targetpopulation, or a measure of some related population. We developMurthy estimator for the design that is unbiased estimators forthe population mean, and propose another, more efficient,estimator. We investigate asymptotic properties of this estimator.We use a simulation study to investigate design properties of themulti-criteria adaptive sequential sampling scheme and also someestimator properties under the design.
Stratified sampling
Adaptive
two-stage sequential sampling
Asymptotic properties in finite
population
Consistency
Rare population
2013
07
01
529
557
http://bims.iranjournals.ir/article_429_0d7fda83d0d219c63685429b4eeea04c.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Biflatness and biprojectivity of Lau product of Banach algebras
A.
Khoddami
H.
Ebrahimi Vishki
Amonge other things we give sufficient and necessary conditions for the Lau product of Banachalgebras to be biflat or biprojective.
bimodule map
$theta$-Lau product
Tensor product
biflat
biprojective
2013
07
01
559
568
http://bims.iranjournals.ir/article_430_ce7376069c17575dc6d19eeb2e34a06b.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Some results on the polynomial numerical hulls of matrices
H.
Afshin
M.
Mehrjoofard
A.
Salemi
In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that$A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matriceswe show that $V^k(A)=sigma(A)$.
polynomial numerical hull
joint numerical range
normal matrices
2013
07
01
569
578
http://bims.iranjournals.ir/article_431_3ccef3d5fa00a8a7178d1329d9bbcfd6.pdf
Bulletin of the Iranian Mathematical Society
BIMS
1017-060X
1017-060X
2013
39
3
Rings in which elements are the sum of an
idempotent and a regular element
N.
Ashrafi
E.
Nasibi
Let R be an associative ring with unity. An element a in R is said to be r-clean if a = e+r, where e is an idempotent and r is a regular (von Neumann) element in R. If every element of R is r-clean, then R is called an r-clean ring. In this paper, we prove that the concepts of clean ring and r-clean ring are equivalent for abelian rings. Further we prove that if 0 and 1 are the only idempotents in R, then an r-clean ring is an exchange ring. Also we show that the center of an r-clean ring is not necessary r-clean, but if 0 and 1 are the only idempotents in R, then the center of an r-clean ring is r-clean. Finally we give some properties and examples of r-clean rings
clean ring
exchange ring
r-clean ring
von Neumann regular ring
2013
07
01
579
588
http://bims.iranjournals.ir/article_432_9133bb4819dd6ac2221c6ba470843a82.pdf