Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multifuzzy normed spaces
M.
khanehgir
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box
91735, Mashhad, Iran
author
F.
Hasanvand
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box
91735, Mashhad, Iran
author
text
article
2016
eng
In this paper, we introduce the notion of multifuzzy normed spaces and establish an asymptotic behavior of the quadratic functional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multifuzzy Banach algebras
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
22520201
05
v.
02
no.
2016
67
81
http://jlta.iauctb.ac.ir/article_522776_3a16dc1c8a807ffd275d55f0d4dc2967.pdf
Bipolar general fuzzy automata
M.
Horry
Department of Mathematics Shahid Chamran University of Kerman,
Kerman, Iran
author
text
article
2016
eng
In this paper, we define the notion of a bipolar general fuzzy automaton, then we construct some closure operators on the set of states of a bipolar general fuzzy automaton. Also, we construct some topologies on the set of states of a bipolar general fuzzy automaton. Then we obtain some relationships between them.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
22520201
05
v.
02
no.
2016
83
91
http://jlta.iauctb.ac.ir/article_522777_1b5b237115ee7ef40a11058fc1c1958d.pdf
Common fixed point of four maps in $S_b$Metric spaces
S.
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Serbia
author
Sh.
Sedghi
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
author
A.
Gholidahneh
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
author
T.
Dosenovic
Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Serbia
author
J.
Esfahani
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
author
text
article
2016
eng
In this paper is introduced a new type of generalization of metric spaces called $S_b$ metric space. For this new kind of spaces it has been proved a common fixed point theorem for four mappings which satisfy generalized contractive condition. We also present example to confirm our theorem.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
22520201
05
v.
02
no.
2016
93
104
http://jlta.iauctb.ac.ir/article_523028_f5e63d18f0cde338db78527fb4edf152.pdf
On Baer type criterion for $C$dense, $C$closed and quasi injectivity
H.
Barzegar
Department of Mathematics, Tafresh University, Tafresh 3951879611, Iran
author
H.
Arianpoor
Department of Mathematics, Tafresh University, Tafresh 3951879611, Iran
author
text
article
2016
eng
For the subclasses $\mathcal{M}_1$ and $\mathcal{M}_2$ of monomorphisms in a concrete category $\mathcal{C}$, if $\mathcal{M}_2\subseteq \mathcal{M}_1$, then $\mathcal{M}_1$injectivity implies $\mathcal{M}_2$injectivity. The Baer type criterion is about the converse of this fact. In this paper, we apply injectivity to the classes of $C$dense, $C$closed monomorphisms. The concept of quasi injectivity is also introduced here to investigte the Baer type criterion for these notions.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
22520201
05
v.
02
no.
2016
105
109
http://jlta.iauctb.ac.ir/article_524829_2c14172f65b2bce937f618ec33f45521.pdf
On categories of merotopic, nearness, and filter algebras
V.
Gompa
Department Head and Professor of Mathematics, Jacksonville State University,
Jacksonville, AL 36265, USA
author
text
article
2016
eng
We study algebraic properties of categories of Merotopic, Nearness, and Filter Algebras. We show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. The forgetful functor from the category of filter rings to filter monoids is essentially algebraic and the forgetful functor from the category of filter groups to the category of filters has a left adjoint.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
22520201
05
v.
02
no.
2016
111
118
http://jlta.iauctb.ac.ir/article_523066_120f8c5b9dd3adb2819b84506452092d.pdf
Random fixed point theorems with an application to a random nonlinear integral equation
R. A.
Rashwan
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt
author
H. A.
Hammad
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
author
text
article
2016
eng
In this paper, stochastic generalizations of some fixed point for operators satisfying random contractively generalized hybrid and some other contractive condition have been proved. We discuss also the existence of a solution to a nonlinear random integral equation in Banah spaces.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
22520201
05
v.
02
no.
2016
119
133
http://jlta.iauctb.ac.ir/article_523399_69f4db719563a49c477d1a7034e2c26d.pdf
On $m^{th}$autocommutator subgroup of finite abelian groups
A.
Gholamian
Department of Mathematics, Birjand Education, Birjand, Iran

Farhangian University, Shahid Bahonar Campus, Birjand, Iran
author
M. M.
Nasrabadi
Department of Mathematics, University of Birjand, Birjand, Iran
author
text
article
2016
eng
Let $G$ be a group and $Aut(G)$ be the group of automorphisms of $G$. For any natural number $m$, the $m^{th}$autocommutator subgroup of $G$ is defined as: $$K_{m} (G)=\langle[g,\alpha_{1},\ldots,\alpha_{m}] g\in G,\alpha_{1},ldots,\alpha_{m}\in Aut(G)\rangle.$$ In this paper, we obtain the $m^{th}$autocommutator subgroup of all finite abelian groups.
Journal of Linear and Topological Algebra (JLTA)
Central Tehran Branch. IAU
22520201
05
v.
02
no.
2016
135
144
http://jlta.iauctb.ac.ir/article_524220_bdb6ef0bd4fbb031fe7071d39769ddf3.pdf