2020-06-05T07:07:57Z
http://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=4980
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
On generalized topological molecular lattices
Narges
Nazari
Ghasem
Mirhosseinkhani
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
2018
04
01
1
15
http://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
Similar generalized frames
Azadeh
Alijani
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
2018
04
01
17
28
http://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
On $L^*$-proximate order of meromorphic function
Sanjib
Datta
Tanmay
Biswas
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
2018
04
01
29
35
http://scma.maragheh.ac.ir/article_23127_4ad4d5505216e8a188a642efa29d1569.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions
Leila
Nasiri
Ali
Sameripour
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
2018
04
01
37
46
http://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator
Ali
Taghavi
Ghasem
Alizadeh Afrouzi
Horieh
Ghorbani
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
2018
04
01
47
60
http://scma.maragheh.ac.ir/article_27915_096934b4d663bf9097f8a976dbefed6b.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
Products Of EP Operators On Hilbert C*-Modules
Javad
Farokhi-Ostad
Ali Reza
Janfada
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
2018
04
01
61
71
http://scma.maragheh.ac.ir/article_28402_1be457bb812e3fe49f49618ae3136280.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
$C^{*}$-semi-inner product spaces
Saeedeh
Shamsi Gamchi
Mohammad
Janfada
Asadollah
Niknam
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
2018
04
01
73
83
http://scma.maragheh.ac.ir/article_28403_6d1882e6bcbd32d35db66b8ee540b844.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
Some fixed point theorems for $C$-class functions in $b$-metric spaces
Arslan
Hojat Ansari
Abdolrahman
Razani
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
2018
04
01
85
96
http://scma.maragheh.ac.ir/article_28505_afd91ddcdba1fe1a635f69bdc0a74c71.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
Convergence of Integro Quartic and Sextic B-Spline interpolation
Jafar
Ahmadi Shali
Ahmadreza
Haghighi
Nasim
Asghary
Elham
Soleymani
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
2018
04
01
97
108
http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
Somewhat pairwise fuzzy $alpha$-irresolute continuous mappings
Ayyarasu
Swaminathan
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
2018
04
01
109
118
http://scma.maragheh.ac.ir/article_28222_b2ea806bbb58f3ed6cb833cf34043406.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
$L$-Topological Spaces
Ali
Bajravani
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
2018
04
01
119
133
http://scma.maragheh.ac.ir/article_28387_de42aeb44cc0345bcda542f42caad0ac.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2018
10
1
Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings
Veerappan
Chandrasekar
Somasundaram
Parimala
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
2018
04
01
135
156
http://scma.maragheh.ac.ir/article_28031_3494182d1a8d67a79d2f6930e9405e49.pdf