eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
1
15
10.22130/scma.2017.27148
27148
مقاله پژوهشی
On generalized topological molecular lattices
Narges Nazari
nazarinargesmath@yahoo.com
1
Ghasem Mirhosseinkhani
gh.mirhosseini@yahoo.com
2
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices, topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces. Topological molecular lattices were defined by closed elements, but in this new structure we present the concept of the open elements and define a closed element by the pseudocomplement of an open element. We have two structures on a completely distributive complete lattice, topology and generalized co-topology which are not dual to each other. We study the basic concepts, in particular separation axioms and some relations among them.
http://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf
Topological molecular lattice
Generalized Topological molecular lattice
Generalized order homomorphism
Separation axiom
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
17
28
10.22130/scma.2017.24628
24628
مقاله پژوهشی
Similar generalized frames
Azadeh Alijani
a.alijani57@gmail.com
1
Department of Mathematics, Faculty of Science, Vali-e-Asr University of Rafsanjan, P.O. Box 7719758457, Rafsanjan, Iran.
Generalized frames are an extension of frames in Hilbert spaces and Hilbert $C^*$-modules. In this paper, the concept ''Similar" for modular $g$-frames is introduced and all of operator duals (ordinary duals) of similar $g$-frames with respect to each other are characterized. Also, an operator dual of a given $g$-frame is studied where $g$-frame is constructed by a primary $g$-frame and an orthogonal projection. Moreover, a $g$-frame is obtained by two the $g$-frames and its operator duals are investigated. Finally, the dilation of $g$-frames is studied.
http://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdf
Dual frame
Similar $g$-frames
Frame operator
$g$-frame
Operator dual frame
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
29
35
10.22130/scma.2016.23127
23127
مقاله پژوهشی
On $L^*$-proximate order of meromorphic function
Sanjib Datta
sanjib_kr_datta@yahoo.co.in
1
Tanmay Biswas
tanmaybiswas_math@rediffmail.com
2
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.
http://scma.maragheh.ac.ir/article_23127_4ad4d5505216e8a188a642efa29d1569.pdf
Meromorphic function
$L^*$-order
$L^*$- proximate order
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
37
46
10.22130/scma.2017.27152
27152
مقاله پژوهشی
The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
Leila Nasiri
leilanasiri468@gmail.com
1
Ali Sameripour
asameripour@yahoo.com
2
Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.
Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.
Let $$(Lv)(t)=sum^{n} _{i,j=1} (-1)^{j} d_{j} left( s^{2alpha}(t) b_{ij}(t) mu(t) d_{i}v(t)right),$$ be a non-selfadjoint differential operator on the Hilbert space $L_{2}(Omega)$ with Dirichlet-type boundary conditions. In continuing of papers [10-12], let the conditions made on the operator $ L$ be sufficiently more general than [11] and [12] as defined in Section $1$. In this paper, we estimate the resolvent of the operator $L$ on the one-dimensional space $ L_{2}(Omega)$ using some analytic methods.
http://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf
Resolvent
Distribution of eigenvalues
Non-selfadjoint differential operators
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
47
60
10.22130/scma.2017.27915
27915
مقاله پژوهشی
Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator
Ali Taghavi
taghavi@umz.ac.ir
1
Ghasem Alizadeh Afrouzi
afrouzi@umz.ac.ir
2
Horieh Ghorbani
h.ghorbani@stu.umz.ac.ir
3
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri.
http://scma.maragheh.ac.ir/article_27915_096934b4d663bf9097f8a976dbefed6b.pdf
Variable exponent Sobolev space
p(x)-Laplacian
Three solutions
Dirichlet problem
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
61
71
10.22130/scma.2017.28402
28402
مقاله پژوهشی
Products Of EP Operators On Hilbert C*-Modules
Javad Farokhi-Ostad
javadfarrokhi90@gmail.com
1
Ali Reza Janfada
ajanfada@birjand.ac.ir
2
Department of Mathematics, Faculty of Mathematics and Statistics, University of Birjand, Birjand, Iran.
Department of Mathematics, Faculty of Mathematics and Statistics, University of Birjand, Birjand, Iran.
In this paper, the special attention is given to the product of two modular operators, and when at least one of them is EP, some interesting results is made, so the equivalent conditions are presented that imply the product of operators is EP. Also, some conditions are provided, for which the reverse order law is hold. Furthermore, it is proved that $P(RPQ)$ is idempotent, if $RPQ$<sup>†</sup> has closed range, for orthogonal projections $P,Q$ and $R$.
http://scma.maragheh.ac.ir/article_28402_1be457bb812e3fe49f49618ae3136280.pdf
Closed range
EP operators
Moore-Penrose inverse
Hilbert $C^*$-module
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
73
83
10.22130/scma.2017.28403
28403
مقاله پژوهشی
$C^{*}$-semi-inner product spaces
Saeedeh Shamsi Gamchi
saeedeh.shamsi@gmail.com
1
Mohammad Janfada
mjanfada@gmail.com
2
Asadollah Niknam
dassamankin@yahoo.co.uk
3
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 ,Tehran, Iran.
Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.
Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.
In this paper, we introduce a generalization of Hilbert $C^*$-modules which are pre-Finsler modules, namely, $C^{*}$-semi-inner product spaces. Some properties and results of such spaces are investigated, specially the orthogonality in these spaces will be considered. We then study bounded linear operators on $C^{*}$-semi-inner product spaces.
http://scma.maragheh.ac.ir/article_28403_6d1882e6bcbd32d35db66b8ee540b844.pdf
Semi-inner product space
Hilbert $C^*$-module
$C^*$-algebra
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
85
96
10.22130/scma.2017.28505
28505
مقاله پژوهشی
Some fixed point theorems for $C$-class functions in $b$-metric spaces
Arslan Hojat Ansari
analsisamirmath2@gmail.com
1
Abdolrahman Razani
razani@ipm.ir
2
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
In this paper, via $C$-class functions, as a new class of functions, a fixed theorem in complete $b$-metric spaces is presented. Moreover, we study some results, which are direct consequences of the main results. In addition, as an application, the existence of a solution of an integral equation is given.
http://scma.maragheh.ac.ir/article_28505_afd91ddcdba1fe1a635f69bdc0a74c71.pdf
Fixed point
Complete metric space
$b$-metric space
$C$-class function
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
97
108
10.22130/scma.2017.27153
27153
مقاله پژوهشی
Convergence of Integro Quartic and Sextic B-Spline interpolation
Jafar Ahmadi Shali
j_ahmadishali@tabrizu.ac.ir
1
Ahmadreza Haghighi
ah.haghighi@gamil.com
2
Nasim Asghary
nasim.asghary@gmail.com
3
Elham Soleymani
elham13829@gamil.com
4
Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
Department of Mathematics, Faculty of Science, Technical and Vocational University(TVU), Tehran, Iran and Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia-Iran.
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.
In this paper, quadratic and sextic B-splines are used to construct an approximating function based on the integral values instead of the function values at the knots. This process due to the type of used B-splines (fourth order or sixth order), called integro quadratic or sextic spline interpolation. After introducing the integro quartic and sextic B-spline interpolation, their convergence is discussed. The interpolation errors are studied. Numerical results illustrate the efficiency and effectiveness of the new interpolation method.
http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf
Integro interpolation quartic B-spline
Integro interpolation sextic B-spline
Convergence
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
109
118
10.22130/scma.2017.28222
28222
مقاله پژوهشی
Somewhat pairwise fuzzy $alpha$-irresolute continuous mappings
Ayyarasu Swaminathan
asnathanway@gmail.com
1
Department of Mathematics (FEAT),Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
The concept of somewhat pairwise fuzzy $alpha$-irresolute continuous mappings and somewhat pairwise fuzzy irresolute $alpha$-open mappings have been introduced and studied. Besides, some interesting properties of those mappings are given.
http://scma.maragheh.ac.ir/article_28222_b2ea806bbb58f3ed6cb833cf34043406.pdf
Somewhat pairwise fuzzy $alpha$-irresolute continuous mapping
Somewhat pairwise fuzzy irresolute $alpha$-open mapping
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
119
133
10.22130/scma.2017.28387
28387
مقاله پژوهشی
$L$-Topological Spaces
Ali Bajravani
bajravani1305@gmail.com
1
Department of Mathematics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran.
By substituting the usual notion of open sets in a topological space $X$ with a suitable collection of maps from $X$ to a frame $L$, we introduce the notion of L-topological spaces. Then, we proceed to study the classical notions and properties of usual topological spaces to the newly defined mathematical notion. Our emphasis would be concentrated on the well understood classical connectedness, quotient and compactness notions, where we prove the Thychonoff's theorem and connectedness property for ultra product of $L$-compact and $L$-connected topological spaces, respectively.
http://scma.maragheh.ac.ir/article_28387_de42aeb44cc0345bcda542f42caad0ac.pdf
Compact Spaces
Connected Spaces
Frame
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2018-04-01
10
1
135
156
10.22130/scma.2017.28031
28031
مقاله پژوهشی
Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings
Veerappan Chandrasekar
vckkc3895@gmail.com
1
Somasundaram Parimala
pspmaths@gmail.com
2
Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
The aim of this paper is to introduce fuzzy ($e$, almost) $e^{*}$-regular spaces in $check{S}$ostak's fuzzy topological spaces. Using the $r$-fuzzy $e$-closed sets, we define $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces and their functions.
http://scma.maragheh.ac.ir/article_28031_3494182d1a8d67a79d2f6930e9405e49.pdf
Fuzzy topology
$r$-fuzzy $e$-open (closed) sets
$r$-($r$-$theta$-
$r$-$etheta$-) $e$-cluster points
$r$-fuzzy ($e$
almost) $e^{*}$-regular spaces
(strongly
$theta$-) $e$-irresolute mappings