@article {
author = {Nazari, Narges and Mirhosseinkhani, Ghasem},
title = {On generalized topological molecular lattices},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {1-15},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.27148},
abstract = {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.},
keywords = {Topological molecular lattice,Generalized Topological molecular lattice,Generalized order homomorphism,Separation axiom},
url = {http://scma.maragheh.ac.ir/article_27148.html},
eprint = {http://scma.maragheh.ac.ir/article_27148_12786ed7e1649bbde8c31adf30c4807c.pdf}
}
@article {
author = {Alijani, Azadeh},
title = {Similar generalized frames},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {17-28},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.24628},
abstract = {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.},
keywords = {Dual frame,Similar $g$-frames,Frame operator,$g$-frame,Operator dual frame},
url = {http://scma.maragheh.ac.ir/article_24628.html},
eprint = {http://scma.maragheh.ac.ir/article_24628_6e243f25a60fbae52edb2214bfc74bcd.pdf}
}
@article {
author = {Datta, Sanjib and Biswas, Tanmay},
title = {On $L^*$-proximate order of meromorphic function},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {29-35},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2016.23127},
abstract = {In this paper we introduce the notion of $L^{* }$-proximate order of meromorphic function and prove its existence.},
keywords = {Meromorphic function,$L^*$-order,$L^*$- proximate order},
url = {http://scma.maragheh.ac.ir/article_23127.html},
eprint = {http://scma.maragheh.ac.ir/article_23127_4ad4d5505216e8a188a642efa29d1569.pdf}
}
@article {
author = {Nasiri, Leila and Sameripour, Ali},
title = {The spectral properties of differential operators with matrix coefficients on elliptic systems with boundary conditions},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {37-46},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.27152},
abstract = {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.},
keywords = {Resolvent,Distribution of eigenvalues,Non-selfadjoint differential operators},
url = {http://scma.maragheh.ac.ir/article_27152.html},
eprint = {http://scma.maragheh.ac.ir/article_27152_70e08c9b43440114768339d1f55188af.pdf}
}
@article {
author = {Taghavi, Ali and Alizadeh Afrouzi, Ghasem and Ghorbani, Horieh},
title = {Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {47-60},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.27915},
abstract = {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.},
keywords = {Variable exponent Sobolev space,p(x)-Laplacian,Three solutions,Dirichlet problem},
url = {http://scma.maragheh.ac.ir/article_27915.html},
eprint = {http://scma.maragheh.ac.ir/article_27915_096934b4d663bf9097f8a976dbefed6b.pdf}
}
@article {
author = {Farokhi-Ostad, Javad and Janfada, Ali Reza},
title = {Products Of EP Operators On Hilbert C*-Modules},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {61-71},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.28402},
abstract = {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 $R$.},
keywords = {Closed range,EP operators,Moore-Penrose inverse,Hilbert $C^*$-module},
url = {http://scma.maragheh.ac.ir/article_28402.html},
eprint = {http://scma.maragheh.ac.ir/article_28402_1be457bb812e3fe49f49618ae3136280.pdf}
}
@article {
author = {Shamsi Gamchi, Saeedeh and Janfada, Mohammad and Niknam, Asadollah},
title = {$C^{*}$-semi-inner product spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {73-83},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.28403},
abstract = {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.},
keywords = {Semi-inner product space,Hilbert $C^*$-module,$C^*$-algebra},
url = {http://scma.maragheh.ac.ir/article_28403.html},
eprint = {http://scma.maragheh.ac.ir/article_28403_6d1882e6bcbd32d35db66b8ee540b844.pdf}
}
@article {
author = {Hojat Ansari, Arslan and Razani, Abdolrahman},
title = {Some fixed point theorems for $C$-class functions in $b$-metric spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {85-96},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.28505},
abstract = {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.},
keywords = {Fixed point,Complete metric space,$b$-metric space,$C$-class function},
url = {http://scma.maragheh.ac.ir/article_28505.html},
eprint = {http://scma.maragheh.ac.ir/article_28505_afd91ddcdba1fe1a635f69bdc0a74c71.pdf}
}
@article {
author = {Ahmadi Shali, Jafar and Haghighi, Ahmadreza and Asghary, Nasim and Soleymani, Elham},
title = {Convergence of Integro Quartic and Sextic B-Spline interpolation},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {97-108},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.27153},
abstract = {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.},
keywords = {Integro interpolation quartic B-spline,Integro interpolation sextic B-spline,Convergence},
url = {http://scma.maragheh.ac.ir/article_27153.html},
eprint = {http://scma.maragheh.ac.ir/article_27153_746eb3f7b1690e6f4e7d778acb54a765.pdf}
}
@article {
author = {Swaminathan, Ayyarasu},
title = {Somewhat pairwise fuzzy $\alpha$-irresolute continuous mappings},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {109-118},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.28222},
abstract = {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.},
keywords = {Somewhat pairwise fuzzy $\alpha$-irresolute continuous mapping,Somewhat pairwise fuzzy irresolute $\alpha$-open mapping},
url = {http://scma.maragheh.ac.ir/article_28222.html},
eprint = {http://scma.maragheh.ac.ir/article_28222_b2ea806bbb58f3ed6cb833cf34043406.pdf}
}
@article {
author = {Bajravani, Ali},
title = {$L$-Topological Spaces},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {119-133},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.28387},
abstract = {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.},
keywords = {Compact Spaces,Connected Spaces,Frame},
url = {http://scma.maragheh.ac.ir/article_28387.html},
eprint = {http://scma.maragheh.ac.ir/article_28387_de42aeb44cc0345bcda542f42caad0ac.pdf}
}
@article {
author = {Chandrasekar, Veerappan and Parimala, Somasundaram},
title = {Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings},
journal = {Sahand Communications in Mathematical Analysis},
volume = {10},
number = {1},
pages = {135-156},
year = {2018},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2017.28031},
abstract = {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.},
keywords = {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},
url = {http://scma.maragheh.ac.ir/article_28031.html},
eprint = {http://scma.maragheh.ac.ir/article_28031_3494182d1a8d67a79d2f6930e9405e49.pdf}
}