eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
1
11
12839
مقاله پژوهشی
Generalized multivalued $F$-weak contractions on complete metric spaces
Hossein Piri
hossein_piri1979@yahoo.com
1
Samira Rahrovi
sarahrovi@gmail.com
2
Department of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.
Department of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.
In this paper, we introduce the notion of generalized multivalued $F$- weak contraction and we prove some fixed point theorems related to introduced contraction for multivalued mapping in complete metric spaces. Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.
http://scma.maragheh.ac.ir/article_12839_d544549fe3810d0d2647b7e1e1e7c186.pdf
Multivalued $F$- weak contraction
Fixed point
Multivalued mappings
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
13
21
12838
مقاله پژوهشی
Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $delta {{g}^{*}}$-closed sets in fuzzy topological spaces
Hamidreza Moradi
hrmoradi@mshdiau.ac.ir
1
Anahid Kamali
ana.kamali.gh@gmail.com
2
Balwinder Singh
singhba.a@gmail.com
3
Young Researchers and Elite Club‎, ‎Mashhad Branch‎, ‎Islamic Azad University‎, ‎Mashhad‎, ‎Iran
Department of Mathematics, Khaje Nasir Toosi University of Technology, Tehran, Iran.
Department of Mathematics‎, ‎P‎. ‎M‎. ‎Thevar College‎, ‎Usilampatti‎, ‎Madurai Dt‎, ‎Tamil Nadu‎, ‎India
In this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. Moreover, we study some more properties of this type of closed spaces.
http://scma.maragheh.ac.ir/article_12838_e29b42c991ee1650228514cd68a980f2.pdf
Fuzzy topological spaces
Fuzzy generalized closed sets
Fuzzy ${{g}^{*}}$-closed sets
Fuzzy strongly ${{g}^{*}}$-closed sets
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
23
44
15512
مقاله پژوهشی
Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups
Arash Ghaani Farashahi
arash.ghaani.farashahi@univie.ac.at
1
Rajab Ali Kamyabi-Gol
kamyabi@ferdowsi.ac.ir
2
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, A-1090 Wien, Vienna, Austria.
Department of Pure Mathematics, Ferdowsi University of Mashhad, Center of Excellence in Analysis on Algebraic Structures (CEAAS), P. O. Box 1159-91775, Mashhad, Iran.
This article presents a unified approach to the abstract notions of partial convolution and involution in $L^p$-function spaces over semi-direct product of locally compact groups. Let $H$ and $K$ be locally compact groups and $tau:Hto Aut(K)$ be a continuous homomorphism. Let $G_tau=Hltimes_tau K$ be the semi-direct product of $H$ and $K$ with respect to $tau$. We define left and right $tau$-convolution on $L^1(G_tau)$ and we show that, with respect to each of them, the function space $L^1(G_tau)$ is a Banach algebra. We define $tau$-convolution as a linear combination of the left and right $tau$-convolution and we show that the $tau$-convolution is commutative if and only if $K$ is abelian. We prove that there is a $tau$-involution on $L^1(G_tau)$ such that with respect to the $tau$-involution and $tau$-convolution, $L^1(G_tau)$ is a non-associative Banach $*$-algebra. It is also shown that when $K$ is abelian, the $tau$-involution and $tau$-convolution make $L^1(G_tau)$ into a Jordan Banach $*$-algebra. Finally, we also present the generalized notation of $tau$-convolution for other $L^p$-spaces with $p>1$.
http://scma.maragheh.ac.ir/article_15512_5770f8eeb189b81deec09dc87fdd4b39.pdf
Semi-direct products of groups
Left $tau$-convolution ($tau_l$-convolution)
Right $tau$-convolution
($tau_r$-convolution)
$tau$-convolution
$tau$-involution
$tau$-approximate identity
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
45
59
15589
مقاله پژوهشی
Generalized concept of $J$-basis
Tofig Najafov
department2011@mail.ru
1
Nakhchivan State University, University campus, AZ7012 Nakhchivan, Azerbaijan.
A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined. Also, corresponding concept of the space of coefficients is introduced. Under certain conditions for the corresponding operators, some properties of the space of coefficients and basicity criterion are considered.
http://scma.maragheh.ac.ir/article_15589_99197aff68a8d6597fafdcfe5c0fb113.pdf
$J$-completeness
$J$-biorthogonality
$J$-basicity
The space of coefficients
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
61
64
12852
مقاله پژوهشی
A note on "Generalized bivariate copulas and their properties"
Vadoud Najjari
fnajjary@yahoo.com
1
Asghar Rahimi
rahimi@maragheh.ac.ir
2
Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.
Department of Mathematics, University of Maragheh, P.O.Box 55181- 83111, Maragheh, Iran.
In 2004, Rodr'{i}guez-Lallena and '{U}beda-Flores have introduced a class of bivariate copulas which generalizes some known families such as the Farlie-Gumbel-Morgenstern distributions. In 2006, Dolati and '{U}beda-Flores presented multivariate generalizations of this class. Then in 2011, Kim et al. generalized Rodr'{i}guez-Lallena and '{U}beda-Flores' study to any given copula family. But there are some inaccuracies in the study by Kim et al. We mean to consider the interval for the parameter proposed by Kim et al. and show that it is inaccurate.
http://scma.maragheh.ac.ir/article_12852_c050f6758dda26d13745e4fb2c754a7a.pdf
Absolutely continuous functions
Bivariate distributions
Copulas
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
65
72
11561
مقاله پژوهشی
Fixed point theorems for $alpha$-contractive mappings
Hojjat Afshari
hojat.afshari@yahoo.com
1
Mojtaba Sajjadmanesh
s.sajjadmanesh@azaruniv.edu
2
Faculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.
Faculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.
In this paper we prove existence the common fixed point with different conditions for $alpha-psi$-contractive mappings. And generalize weakly Zamfirescu map in to modified weakly Zamfirescu map.
http://scma.maragheh.ac.ir/article_11561_d8e26a421b7394a2d3a527c0299d3f8b.pdf
$alpha$-contractive map
Modified weakly Zamfirescu map
Fixed point
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
73
81
15471
مقاله پژوهشی
A tensor product approach to the abstract partial fourier transforms over semi-direct product groups
Ali akbar Arefijammal
arefijamaal@gmail.com
1
Fahimeh Arabyani Neyshaburi
arabyanif@hsu.ac.ir
2
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
In this article, by using a partial on locally compact semi-direct product groups, we present a compatible extension of the Fourier transform. As a consequence, we extend the fundamental theorems of Abelian Fourier transform to non-Abelian case.
http://scma.maragheh.ac.ir/article_15471_6cc6c314395a008f6ea2c3f1659ce258.pdf
Partial Fourier transform
Locally compact groups
Semi-direct product groups
Artial dual groups
eng
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
2015-12-01
2
2
83
90
15532
مقاله پژوهشی
Chaotic dynamics and synchronization of fractional order PMSM system
Vajiheh Vafaei
v_vafaei@tabrizu.ac.ir
1
Hossein Kheiri
h-kheiri@tabrizu.ac.ir
2
Mohammad Javidi
mo-javidi@yahoo.com
3
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
In this paper, we investigate the chaotic behaviors of the fractional-order permanent magnet synchronous motor (PMSM) system. The necessary condition for the existence of chaos in the fractional-order PMSM system is deduced and an active controller is developed based on the stability theory for fractional systems. The presented control scheme is simple and flexible, and it is suitable both for design and for implementation in practice. Simulation is carried out to verify that the obtained scheme is efficient and robust for controlling the fractional-order PMSM system.
http://scma.maragheh.ac.ir/article_15532_f36e3faccdb5621905f7cd26b0727998.pdf
Permanent Magnet Synchronous Motor
Fractional-order systems
Chaotic synchronization