University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
On generalized topological molecular lattices
1
15
EN
Narges
Nazari
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
nazarinargesmath@yahoo.com
Ghasem
Mirhosseinkhani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
gh.mirhosseini@yahoo.com
10.22130/scma.2017.27148
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.
Topological molecular lattice,Generalized Topological molecular lattice,Generalized order homomorphism,Separation axiom
https://scma.maragheh.ac.ir/article_27148.html
https://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
Similar generalized frames
17
28
EN
Azadeh
Alijani
Department of Mathematics, Faculty of Science,
Vali-e-Asr University of Rafsanjan, P.O. Box 7719758457, Rafsanjan, Iran.
a.alijani57@gmail.com
10.22130/scma.2017.24628
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.
Dual frame,Similar $g$-frames,Frame operator,$g$-frame,Operator dual frame
https://scma.maragheh.ac.ir/article_24628.html
https://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
On $L^*$-proximate order of meromorphic function
29
35
EN
Sanjib
Datta
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
sanjib_kr_datta@yahoo.co.in
Tanmay
Biswas
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
tanmaybiswas_math@rediffmail.com
10.22130/scma.2016.23127
In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.
Meromorphic function,$L^*$-order,$L^*$- proximate order
https://scma.maragheh.ac.ir/article_23127.html
https://scma.maragheh.ac.ir/article_23127_4ad4d5505216e8a188a642efa29d1569.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
37
46
EN
Leila
Nasiri
Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.
leilanasiri468@gmail.com
Ali
Sameripour
0000-0005058-9130
Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.
asameripour@yahoo.com
10.22130/scma.2017.27152
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.
Resolvent,Distribution of eigenvalues,Non-selfadjoint differential operators
https://scma.maragheh.ac.ir/article_27152.html
https://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator
47
60
EN
Ali
Taghavi
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
taghavi@umz.ac.ir
Ghasem
Alizadeh Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
afrouzi@umz.ac.ir
Horieh
Ghorbani
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
h.ghorbani@stu.umz.ac.ir
10.22130/scma.2017.27915
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.
Variable exponent Sobolev space,p(x)-Laplacian,Three solutions,Dirichlet problem
https://scma.maragheh.ac.ir/article_27915.html
https://scma.maragheh.ac.ir/article_27915_096934b4d663bf9097f8a976dbefed6b.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
Products Of EP Operators On Hilbert C*-Modules
61
71
EN
Javad
Farokhi-Ostad
0000-0000-0000-0000
Department of Mathematics, Faculty of Mathematics and Statistics, University of Birjand, Birjand, Iran.
javadfarrokhi90@gmail.com
Ali Reza
Janfada
Department of Mathematics, Faculty of Mathematics and Statistics, University of Birjand, Birjand, Iran.
ajanfada@birjand.ac.ir
10.22130/scma.2017.28402
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 $R$.
Closed range,EP operators,Moore-Penrose inverse,Hilbert $C^*$-module
https://scma.maragheh.ac.ir/article_28402.html
https://scma.maragheh.ac.ir/article_28402_1be457bb812e3fe49f49618ae3136280.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
$C^{*}$-semi-inner product spaces
73
83
EN
Saeedeh
Shamsi Gamchi
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 ,Tehran, Iran.
saeedeh.shamsi@gmail.com
Mohammad
Janfada
Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.
mjanfada@gmail.com
Asadollah
Niknam
Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.
dassamankin@yahoo.co.uk
10.22130/scma.2017.28403
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.
Semi-inner product space,Hilbert $C^*$-module,$C^*$-algebra
https://scma.maragheh.ac.ir/article_28403.html
https://scma.maragheh.ac.ir/article_28403_6d1882e6bcbd32d35db66b8ee540b844.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
Some fixed point theorems for $C$-class functions in $b$-metric spaces
85
96
EN
Arslan
Hojat Ansari
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
analsisamirmath2@gmail.com
Abdolrahman
Razani
0000-0002-3092-3530
Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
razani@ipm.ir
10.22130/scma.2017.28505
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.
Fixed point,Complete metric space,$b$-metric space,$C$-class function
https://scma.maragheh.ac.ir/article_28505.html
https://scma.maragheh.ac.ir/article_28505_afd91ddcdba1fe1a635f69bdc0a74c71.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
Convergence of Integro Quartic and Sextic B-Spline interpolation
97
108
EN
Jafar
Ahmadi Shali
Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
j_ahmadishali@tabrizu.ac.ir
Ahmadreza
Haghighi
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.
ah.haghighi@gamil.com
Nasim
Asghary
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
nasim.asghary@gmail.com
Elham
Soleymani
Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.
elham13829@gamil.com
10.22130/scma.2017.27153
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.
Integro interpolation quartic B-spline,Integro interpolation sextic B-spline,Convergence
https://scma.maragheh.ac.ir/article_27153.html
https://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
Somewhat pairwise fuzzy $alpha$-irresolute continuous mappings
109
118
EN
Ayyarasu
Swaminathan
Department of Mathematics (FEAT),Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
asnathanway@gmail.com
10.22130/scma.2017.28222
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.
Somewhat pairwise fuzzy $\alpha$-irresolute continuous mapping,Somewhat pairwise fuzzy irresolute $\alpha$-open mapping
https://scma.maragheh.ac.ir/article_28222.html
https://scma.maragheh.ac.ir/article_28222_b2ea806bbb58f3ed6cb833cf34043406.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
$L$-Topological Spaces
119
133
EN
Ali
Bajravani
Department of Mathematics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran.
bajravani1305@gmail.com
10.22130/scma.2017.28387
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.
Compact Spaces,Connected Spaces,Frame
https://scma.maragheh.ac.ir/article_28387.html
https://scma.maragheh.ac.ir/article_28387_de42aeb44cc0345bcda542f42caad0ac.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
10
1
2018
04
01
Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings
135
156
EN
Veerappan
Chandrasekar
Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
vckkc3895@gmail.com
Somasundaram
Parimala
Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
pspmaths@gmail.com
10.22130/scma.2017.28031
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.
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
https://scma.maragheh.ac.ir/article_28031.html
https://scma.maragheh.ac.ir/article_28031_3494182d1a8d67a79d2f6930e9405e49.pdf