On generalized topological molecular lattices
Narges
Nazari
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran.
author
Ghasem
Mirhosseinkhani
Department of Mathematics, Sirjan University of Technology, Sirjan, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
1
15
http://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf
dx.doi.org/10.22130/scma.2017.27148
Similar generalized frames
Azadeh
Alijani
Department of Mathematics, Faculty of Science,
Vali-e-Asr University of Rafsanjan, P.O. Box 7719758457, Rafsanjan, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
17
28
http://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdf
dx.doi.org/10.22130/scma.2017.24628
On $L^*$-proximate order of meromorphic function
Sanjib
Datta
Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.
author
Tanmay
Biswas
Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.
author
text
article
2018
eng
In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
29
35
http://scma.maragheh.ac.ir/article_23127_4ad4d5505216e8a188a642efa29d1569.pdf
dx.doi.org/10.22130/scma.2016.23127
The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
Leila
Nasiri
Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.
author
Ali
Sameripour
Department of Mathematics and computer science, Faculty of science, Lorestan University, Khorramabad, Iran.
author
text
article
2018
eng
Let $$(Lv)(t)=\sum^{n} _{i,j=1} (-1)^{j} d_{j} \left( s^{2\alpha}(t) b_{ij}(t) \mu(t) d_{i}v(t)\right),$$ 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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
37
46
http://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf
dx.doi.org/10.22130/scma.2017.27152
Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator
Ali
Taghavi
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
author
Ghasem
Alizadeh Afrouzi
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
author
Horieh
Ghorbani
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
47
60
http://scma.maragheh.ac.ir/article_27915_096934b4d663bf9097f8a976dbefed6b.pdf
dx.doi.org/10.22130/scma.2017.27915
Products Of EP Operators On Hilbert C*-Modules
Javad
Farokhi-Ostad
Department of Mathematics, Faculty of Mathematics and Statistics, University of Birjand, Birjand, Iran.
author
Ali Reza
Janfada
Department of Mathematics, Faculty of Mathematics and Statistics, University of Birjand, Birjand, Iran.
author
text
article
2018
eng
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 $RPQ$† has closed range, for orthogonal projections $P,Q$ and $R$.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
61
71
http://scma.maragheh.ac.ir/article_28402_1be457bb812e3fe49f49618ae3136280.pdf
dx.doi.org/10.22130/scma.2017.28402
$C^{*}$-semi-inner product spaces
Saeedeh
Shamsi Gamchi
Department of Mathematics, Payame Noor University, P.O. Box 19395-3697 ,Tehran, Iran.
author
Mohammad
Janfada
Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.
author
Asadollah
Niknam
Department of Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
73
83
http://scma.maragheh.ac.ir/article_28403_6d1882e6bcbd32d35db66b8ee540b844.pdf
dx.doi.org/10.22130/scma.2017.28403
Some fixed point theorems for $C$-class functions in $b$-metric spaces
Arslan
Hojat Ansari
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
author
Abdolrahman
Razani
Department of Pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
85
96
http://scma.maragheh.ac.ir/article_28505_afd91ddcdba1fe1a635f69bdc0a74c71.pdf
dx.doi.org/10.22130/scma.2017.28505
Convergence of Integro Quartic and Sextic B-Spline interpolation
Jafar
Ahmadi Shali
Department of Statistics, Faculty of Mathematical Science, University of Tabriz, Tabriz, Iran.
author
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.
author
Nasim
Asghary
Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, Iran.
author
Elham
Soleymani
Department of Mathematics, Faculty of Science, Urmia University of technology, P.O.Box 57166-17165, Urmia, Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
97
108
http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf
dx.doi.org/10.22130/scma.2017.27153
Somewhat pairwise fuzzy $\alpha$-irresolute continuous mappings
Ayyarasu
Swaminathan
Department of Mathematics (FEAT),Annamalai University, Annamalainagar, Tamil Nadu-608 002, India.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
109
118
http://scma.maragheh.ac.ir/article_28222_b2ea806bbb58f3ed6cb833cf34043406.pdf
dx.doi.org/10.22130/scma.2017.28222
$L$-Topological Spaces
Ali
Bajravani
Department of Mathematics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, I. R. Iran.
author
text
article
2018
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
119
133
http://scma.maragheh.ac.ir/article_28387_de42aeb44cc0345bcda542f42caad0ac.pdf
dx.doi.org/10.22130/scma.2017.28387
Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings
Veerappan
Chandrasekar
Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
author
Somasundaram
Parimala
Research Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.
author
text
article
2018
eng
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 $r$-($r$-$\theta$-, $r$-$e\theta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$\theta$-, $r$-$e\theta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces and their functions.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
10
v.
1
no.
2018
135
156
http://scma.maragheh.ac.ir/article_28031_3494182d1a8d67a79d2f6930e9405e49.pdf
dx.doi.org/10.22130/scma.2017.28031