Generalized multivalued $F$-weak contractions on complete metric spaces
Hossein
Piri
Department of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.
author
Samira
Rahrovi
Department of Mathematics, Faculty of Science, University of Bonab, P.O.Box 5551-761167, Bonab, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
1
11
http://scma.maragheh.ac.ir/article_12839_d544549fe3810d0d2647b7e1e1e7c186.pdf
Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $\delta {{g}^{*}}$-closed sets in fuzzy topological spaces
Hamidreza
Moradi
Young Researchers and Elite Club‎, ‎Mashhad Branch‎, ‎Islamic Azad University‎, ‎Mashhad‎, ‎Iran
author
Anahid
Kamali
Department of Mathematics, Khaje Nasir Toosi University of Technology, Tehran, Iran.
author
Balwinder
Singh
Department of Mathematics‎, ‎P‎. ‎M‎. ‎Thevar College‎, ‎Usilampatti‎, ‎Madurai Dt‎, ‎Tamil Nadu‎, ‎India
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
13
21
http://scma.maragheh.ac.ir/article_12838_e29b42c991ee1650228514cd68a980f2.pdf
Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups
Arash
Ghaani Farashahi
Numerical Harmonic Analysis Group (NuHAG), Faculty of Mathematics,
University of Vienna, Oskar-Morgenstern-Platz 1, A-1090 Wien, Vienna, Austria.
author
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.
author
text
article
2015
eng
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 $\tau:H\to Aut(K)$ be a continuous homomorphism. Let $G_\tau=H\ltimes_\tau K$ 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 $p>1$.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
23
44
http://scma.maragheh.ac.ir/article_15512_5770f8eeb189b81deec09dc87fdd4b39.pdf
Generalized concept of $J$-basis
Tofig
Najafov
Nakhchivan State University, University campus, AZ7012 Nakhchivan,
Azerbaijan.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
45
59
http://scma.maragheh.ac.ir/article_15589_99197aff68a8d6597fafdcfe5c0fb113.pdf
A note on "Generalized bivariate copulas and their properties"
Vadoud
Najjari
Young Researchers and Elite Club, Maragheh branch, Islamic Azad University, Maragheh, Iran.
author
Asghar
Rahimi
Department of Mathematics, University of Maragheh, P.O.Box 55181-
83111, Maragheh, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
61
64
http://scma.maragheh.ac.ir/article_12852_c050f6758dda26d13745e4fb2c754a7a.pdf
Fixed point theorems for $\alpha$-contractive mappings
Hojjat
Afshari
Faculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.
author
Mojtaba
Sajjadmanesh
Faculty of Basic Science, University of Bonab, P.O.Box 5551761167, Bonab, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
65
72
http://scma.maragheh.ac.ir/article_11561_d8e26a421b7394a2d3a527c0299d3f8b.pdf
A tensor product approach to the abstract partial fourier transforms over semi-direct product groups
Ali akbar
Arefijammal
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
author
Fahimeh
Arabyani Neyshaburi
Department of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
73
81
http://scma.maragheh.ac.ir/article_15471_6cc6c314395a008f6ea2c3f1659ce258.pdf
Chaotic dynamics and synchronization of fractional order PMSM system
Vajiheh
Vafaei
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
author
Hossein
Kheiri
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
author
Mohammad
Javidi
Faculty of Mathematical sciences, University of Tabriz, tabriz, Iran.
author
text
article
2015
eng
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.
Sahand Communications in Mathematical Analysis
University of Maragheh
2322-5807
02
v.
2
no.
2015
83
90
http://scma.maragheh.ac.ir/article_15532_f36e3faccdb5621905f7cd26b0727998.pdf