University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
Generalized multivalued $F$-weak contractions on complete metric spaces
1
11
EN
Hossein
Piri
Department of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.
hossein_piri1979@yahoo.com
Samira
Rahrovi
Department of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.
sarahrovi@gmail.com
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.
Multivalued $F$- weak contraction,Fixed point,Multivalued mappings
http://scma.maragheh.ac.ir/article_12839.html
http://scma.maragheh.ac.ir/article_12839_d544549fe3810d0d2647b7e1e1e7c186.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $delta {{g}^{*}}$-closed sets in fuzzy topological spaces
13
21
EN
Hamidreza
Moradi
Young Researchers and Elite Club‎, ‎Mashhad Branch‎, ‎Islamic Azad University‎, ‎Mashhad‎, ‎Iran
hrmoradi@mshdiau.ac.ir
Anahid
Kamali
Department of Mathematics, Khaje Nasir Toosi University of Technology, Tehran, Iran.
ana.kamali.gh@gmail.com
Balwinder
Singh
Department of Mathematics‎, ‎P‎. ‎M‎. ‎Thevar College‎, ‎Usilampatti‎, ‎Madurai Dt‎, ‎Tamil Nadu‎, ‎India
singhba.a@gmail.com
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.
Fuzzy topological spaces,Fuzzy generalized closed sets,Fuzzy ${{g}^{*}}$-closed sets,Fuzzy strongly ${{g}^{*}}$-closed sets
http://scma.maragheh.ac.ir/article_12838.html
http://scma.maragheh.ac.ir/article_12838_e29b42c991ee1650228514cd68a980f2.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups
23
44
EN
Arash
Ghaani Farashahi
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics,
University of Vienna, Oskar-Morgenstern-Platz 1, A-1090 Wien, Vienna, Austria.
arash.ghaani.farashahi@univie.ac.at
Rajab Ali
Kamyabi-Gol
Department of Pure Mathematics, Ferdowsi University of Mashhad,
Center of Excellence in Analysis on Algebraic Structures (CEAAS), P. O. Box 1159-91775, Mashhad, Iran.
kamyabi@ferdowsi.ac.ir
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 $p>1$.
Semi-direct products of groups,Left $tau$-convolution ($tau_l$-convolution),Right $tau$-convolution
($tau_r$-convolution),$tau$-convolution,$tau$-involution,$tau$-approximate identity
http://scma.maragheh.ac.ir/article_15512.html
http://scma.maragheh.ac.ir/article_15512_5770f8eeb189b81deec09dc87fdd4b39.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
Generalized concept of $J$-basis
45
59
EN
Tofig
Najafov
Nakhchivan State University, University campus, AZ7012 Nakhchivan,
Azerbaijan.
department2011@mail.ru
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.
$J$-completeness,$J$-biorthogonality,$J$-basicity,The space of coefficients
http://scma.maragheh.ac.ir/article_15589.html
http://scma.maragheh.ac.ir/article_15589_99197aff68a8d6597fafdcfe5c0fb113.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
A note on "Generalized bivariate copulas and their properties"
61
64
EN
Vadoud
Najjari
Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.
fnajjary@yahoo.com
Asghar
Rahimi
0000-0003-2095-6811
Department of Mathematics, University of Maragheh, P.O.Box 55181-
83111, Maragheh, Iran.
rahimi@maragheh.ac.ir
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.
Absolutely continuous functions,Bivariate distributions,Copulas
http://scma.maragheh.ac.ir/article_12852.html
http://scma.maragheh.ac.ir/article_12852_c050f6758dda26d13745e4fb2c754a7a.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
Fixed point theorems for $alpha$-contractive mappings
65
72
EN
Hojjat
Afshari
Faculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.
hojat.afshari@yahoo.com
Mojtaba
Sajjadmanesh
Faculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.
s.sajjadmanesh@azaruniv.edu
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.
$alpha$-contractive map,Modified weakly Zamfirescu map,Fixed point
http://scma.maragheh.ac.ir/article_11561.html
http://scma.maragheh.ac.ir/article_11561_d8e26a421b7394a2d3a527c0299d3f8b.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
A tensor product approach to the abstract partial fourier transforms over semi-direct product groups
73
81
EN
Ali akbar
Arefijammal
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
arefijamaal@gmail.com
Fahimeh
Arabyani Neyshaburi
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
arabyanif@hsu.ac.ir
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.
Partial Fourier transform,Locally compact groups,Semi-direct product groups,Artial dual groups
http://scma.maragheh.ac.ir/article_15471.html
http://scma.maragheh.ac.ir/article_15471_6cc6c314395a008f6ea2c3f1659ce258.pdf
University of Maragheh
Sahand Communications in Mathematical Analysis
2322-5807
2423-3900
02
2
2015
12
01
Chaotic dynamics and synchronization of fractional order PMSM system
83
90
EN
Vajiheh
Vafaei
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
v_vafaei@tabrizu.ac.ir
Hossein
Kheiri
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
h-kheiri@tabrizu.ac.ir
Mohammad
Javidi
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
mo-javidi@yahoo.com
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.
Permanent Magnet Synchronous Motor,Fractional-order systems,Chaotic synchronization
http://scma.maragheh.ac.ir/article_15532.html
http://scma.maragheh.ac.ir/article_15532_f36e3faccdb5621905f7cd26b0727998.pdf