2016
5
2
2
0
Asymptotic aspect of quadratic functional equations and super stability of higher derivations in multifuzzy normed spaces
2
2
In this paper, we introduce the notion of multifuzzy normed spaces and establish an asymptotic behavior of the quadraticfunctional equations in the setup of such spaces. We then investigate the superstability of strongly higher derivations in the framework of multifuzzy Banach algebras
1

67
81


M
khanehgir
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box
91735, Mashhad, Iran.
Department of Mathematics, Mashhad Branch,
Iran
mkhanehgir@gmail.com


F
Hasanvand
Department of Mathematics, Mashhad Branch, Islamic Azad University, P.O.Box
91735, Mashhad, Iran.
Department of Mathematics, Mashhad Branch,
Iran
firozehasanvand@yahoo.com
fuzzy normed space
higher derivation
HyersUlamRassias stability
multi
normed space
quadratic functional equation
Bipolar general fuzzy automata
2
2
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.
1

83
91


M
Horry
Shahid Chamran Kerman. Iran
Shahid Chamran Kerman. Iran
Iran
mohhorry@yahoo.com
(General) Fuzzy automata
closure
operator
bipolar valued fuzzy set
Common fixed point of four maps in SbMetric spaces
2
2
In this paper is introduced a new type of generalization of metric spaces called Sb metric space. For this new kind of spaces it has been proved a common xed point theorem for four mappings which satisfy generalized contractive condition. We also present example to conrm our theorem.
1

93
104


S
Radenovic
Faculty of Mechanical Engineering, University of Belgrade, Serbia
Faculty of Mechanical Engineering, University
Iran
radens@beotel.rs


Sh
Sedghi
1Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
1Department of Mathematics, Qaemshahr Branch,
Iran
sedghigh@yahoo.com


A
Gholidahneh
2Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
2Department of Mathematics, Qaemshahr Branch,
Iran
gholidahneh.s@gmail.com


T
Dosenovic
3Faculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Serbia
3Faculty of Technology, University of Novi
Iran
tatjanad@tf.uns.ac.rs


J
Esfahani
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Department of Mathematics, Qaemshahr Branch,
Iran
esfahani.kor@gmail.com
Common fxed point
Sbmetric spaces
compatible mappings
Cauchy sequence
On Baer type criterion for $C$dense, $C$closed and quasi injectivity
2
2
For the subclasses ${mathcal M}_1$ and ${mathcal M}_2$ ofmonomorphisms in a concrete category $mathcal C$, if ${mathcalM}_2subseteq {mathcal M}_1$, then ${mathcal M}_1$injectivityimplies ${mathcal M}_2$injectivity. The Baer type criterion is about the converse of this fact. In this paper, we apply injectivity to the classes of {it $C$dense, $C$closed} monomorphisms. The concept of quasi injectivity is also introduced here to investigte the Baer type criterion for these notions.
1

105
109


H
Barzegar
Tafresh university
Tafresh university
Iran
h56bar@tafreshu.ac.ir


H
Arianpoor
Tafresh university
Tafresh university
Iran
arianpoor@tafreshu.ac.ir
$C$dense injective
$C$closed injective
quasiinjective
On categories of merotopic, nearness, and filter algebras
2
2
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.
1

111
118


V
Gompa
Troy University. USA
Troy University. USA
Iran
vgompa@jsu.edu
universal algebra
topological algebra
nearness spaces
merotopic spaces
filter spaces
Random fixed point theorems with an application to a random nonlinear integral equation
2
2
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.
1

119
133


R A
Rashwan
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt,
Department of Mathematics, Faculty of Science,
Iran
rr_rashwan54@yahoo.com


H A
Hammad
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt,
Department of Mathematics, Faculty of Science,
Iran
random xed point
nonlinear integral random equation
contractively generalized hybrid
On $m^{th}$autocommutator subgroup of finite abelian groups
2
2
Let $G$ be a group and $Aut(G)$ be the group of automorphisms of$G$. For any naturalnumber $m$, the $m^{th}$autocommutator subgroup of $G$ is definedas: $$K_{m}(G)=langle[g,alpha_{1},ldots,alpha_{m}] gin G,alpha_{1},ldots,alpha_{m}in Aut(G)rangle.$$In this paper, we obtain the $m^{th}$autocommutator subgroup ofall finite abelian groups.
1

135
144


A
Gholamian
Farhangian University, Shahid Bahonar Campus, Birjand, Iran
Farhangian University, Shahid Bahonar Campus,
Iran
ali.ghfath@gmail.com


M. M
Nasrabadi
University of Birjand, Birjand, Iran
University of Birjand, Birjand, Iran
Iran
mnasrabadi@birjand.ac.ir
Automorphism
Lower autocentral series
Finite Abelian group