2021-10-19T18:02:31Z
https://scma.maragheh.ac.ir/?_action=export&rf=summon&issue=2586
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
Generalized multivalued $F$-weak contractions on complete metric spaces
Hossein
Piri
Samira
Rahrovi
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
2015
12
01
1
11
https://scma.maragheh.ac.ir/article_12839_d544549fe3810d0d2647b7e1e1e7c186.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
Some new properties of fuzzy strongly ${{g}^{*}}$-closed sets and $delta {{g}^{*}}$-closed sets in fuzzy topological spaces
Hamidreza
Moradi
Anahid
Kamali
Balwinder
Singh
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
2015
12
01
13
21
https://scma.maragheh.ac.ir/article_12838_e29b42c991ee1650228514cd68a980f2.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
Abstract structure of partial function $*$-algebras over semi-direct product of locally compact groups
Arash
Ghaani Farashahi
Rajab Ali
Kamyabi-Gol
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 $p>1$.
Semi-direct products of groups
Left $tau$-convolution ($tau_l$-convolution)
Right $tau$-convolution
($tau_r$-convolution)
$tau$-convolution
$tau$-involution
$tau$-approximate identity
2015
12
01
23
44
https://scma.maragheh.ac.ir/article_15512_5770f8eeb189b81deec09dc87fdd4b39.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
Generalized concept of $J$-basis
Tofig
Najafov
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
2015
12
01
45
59
https://scma.maragheh.ac.ir/article_15589_99197aff68a8d6597fafdcfe5c0fb113.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
A note on "Generalized bivariate copulas and their properties"
Vadoud
Najjari
Asghar
Rahimi
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
2015
12
01
61
64
https://scma.maragheh.ac.ir/article_12852_c050f6758dda26d13745e4fb2c754a7a.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
Fixed point theorems for $alpha$-contractive mappings
Hojjat
Afshari
Mojtaba
Sajjadmanesh
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
2015
12
01
65
72
https://scma.maragheh.ac.ir/article_11561_d8e26a421b7394a2d3a527c0299d3f8b.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
A tensor product approach to the abstract partial fourier transforms over semi-direct product groups
Ali akbar
Arefijammal
Fahimeh
Arabyani Neyshaburi
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
2015
12
01
73
81
https://scma.maragheh.ac.ir/article_15471_6cc6c314395a008f6ea2c3f1659ce258.pdf
Sahand Communications in Mathematical Analysis
SCMA
2322-5807
2322-5807
2015
02
2
Chaotic dynamics and synchronization of fractional order PMSM system
Vajiheh
Vafaei
Hossein
Kheiri
Mohammad
Javidi
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
2015
12
01
83
90
https://scma.maragheh.ac.ir/article_15532_f36e3faccdb5621905f7cd26b0727998.pdf