2021
7
1
0
0
1

Generalized peripherally multiplicative maps between real Lipschitz algebras with involution
http://www.kjmmath.org/article_123046.html
10.22034/kjm.2020.200073.1555
1
Let $(X,d)$ and $(Y,rho)$ be compact metric spaces, $tau$ and $eta$ be Lipschitz involutions on $ X$ and $Y$, respectively, $mathcal{A}=Lip(X,d,tau)$ and $mathcal{B}=Lip(Y,rho,eta)$, where $Lip(X,d,tau)=lbrace fin Lip(X,d):fcirctau=bar{f}rbrace $. For each $fin mathcal{A}$, $sigma_{pi,mathcal{A}}(f)$ denotes the peripheral spectrum of $f$. We prove that if $S_{1},S_{2}:mathcal{A}rightarrow mathcal{A}$ and $T_{1},T_{2}:mathcal{A}rightarrow mathcal{B}$ are surjective mappings that satisfy $sigma_{pi,mathcal{B}}(T_{1}(f)T_{2}(g))=sigma_{pi,mathcal{A}}(S_{1}(f)S_{2}(g))$ for all $f,gin mathcal{A}$, then there are $kappa_{1},kappa_{2}in Lip(Y,rho,eta)$ with $kappa_{1}kappa_{2}=1_{Y}$ and a Lipschitz homeomorphism $varphi$ from $(Y,rho)$ to $(X,d)$ with $tau circvarphi=varphi circ eta$ on $Y$ such that $T_{j}(f)=kappa_{j}cdot(S_{j}(f)circvarphi)$ for all $fin mathcal{A}$ and $j=1,2$. Moreover, we show that the same result holds for surjective mappings $S_{1},S_{2}:mathcal{A}rightarrow mathcal{A}$ and $T_{1},T_{2}:mathcal{A}rightarrow mathcal{B}$ that satisfy $sigma_{pi,mathcal{B}}(T_{1}(f)T_{2}(g))capsigma_{pi,mathcal{A}}(S_{1}(f)S_{2}(g))neqemptyset$ for all $f,gin mathcal{A}$.
0

1
31


Davood
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University
Iran
dalimohammadi@araku.ac.ir


Safoura
Daneshmand
Department of Mathematics, Faculty of Science, Arak University
Iran
sdaneshmand@phd.araku.ac.ir
Peripheral spectrum
norm multiplicative
peaking function
$(i)$peaking function
weighted composition operator
1

A cartesian closed subcategory of topological molecular lattices
http://www.kjmmath.org/article_123047.html
10.22034/kjm.2020.117858.1095
1
A category C is called cartesian closed provided that it has ﬁnite products and for each Cobject A the functor (A×−) : A → A has a right adjoint. It is well known that the category TML of topological molecular lattices with generalized order homomorphims in the sense of Wang is both complete and cocomplete, but it is not cartesian closed. In this paper, we introduce a cartesian closed subcategory of this category.
0

32
39


Ghasem
Mirhosseinkhani
Department of Mathematics, Sirjan University of technology
Iran
gh.mirhosseini@yahoo.com


Mahboobeh
Akbarpour
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran
Iran
b.akbarpour66@gmail.com
Topological molecular lattices
Exponentiable object
Cartesian closed category
1

Almost and weakly NSR, NSM and NSH spaces
http://www.kjmmath.org/article_123048.html
10.22034/kjm.2020.224608.1753
1
In this paper we introduce and study some new types of starselection principles (almost and weakly neighbourhood starMenger, neighbourhood starRothberger and neighbourhood starHurewicz). We establish some properties of these selection principles and their relations with other selection properties of topological spaces. Behaviour of these classes of spaces under certain kinds of mappings is also considered.
0

40
51


Ljubisa
Kocinac
Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Nis, Serbia
Serbia
lkocinac@gmail.com


Rachid
Lakehal
Dynamic of Engines and Vibroacoustic Laboratory,
University M'Hamed Bougara of Boumerdes, Algeria
Algeria
r.lakehal@univboumerdes.dz


Djamila
Seba
Dynamic of Engines and Vibroacoustic Laboratory,
University M'Hamed Bougara of Boumerdes, Algeria
Algeria
djam_seba@yahoo.fr
Selection principles
starMenger
starRothberger
almost NSM
weakly NSM
1

Numerical simulation for a class of singularly perturbed convection delay problems
http://www.kjmmath.org/article_123049.html
10.22034/kjm.2020.210616.1650
1
This article presents a solution for a class of singularly perturbed convection with delay problems arising in control theory. The approach of extending Taylor's series for the convection term gives to a bad approximation when the delay is not smaller order of singular perturbation parameter. To handle the delay term, we model an interesting mesh form such that the delay term lies on mesh points. The parametric cubic spline is adapted to the continuous problem on a specially designed mesh. The truncation error for the proposed method is derived. Numerical examples are experimented to examine the effect of the delay parameter on the layer structure.
0

52
64


Murali Mohan Kumar
Palli
GMR Institute of Technology
India
nitmurali@gmail.com


A.S.V.
Ravi Kanth
Department of Mathematics
National Institute of Technology, Kurukshetra
India
asvravikanth@yahoo.com
Parametric cubic spline
Singular perturbation
Oscillatory
1

On $Smathcal{I}H$property and $SSmathcal{I}H$property in topological spaces
http://www.kjmmath.org/article_123050.html
10.22034/kjm.2020.209741.1637
1
In this paper, we further investigated the $SS mathcal{I} H$ and $S mathcal{I} H$ properties introduced by Das et. al recently. It is shown that regularclosed $G_delta$ subspace of $SS mathcal{I} H$ (resp., $S mathcal{I} H$) is not $SS mathcal{I} H$ (resp., $S mathcal{I} H$). The preservation properties of these spaces are studied under some maps. Also $SS mathcal{I} H$ and $S mathcal{I} H$ properties are investigated in Alexandroff space.
0

65
76


Manoj
Bhardwaj
University of Delhi, India
India
manojmnj27@gmail.com


Brij Kishore
Tyagi
A.R.S.D. College, University of Delhi, India
India
brijkishore.tyagi@gmail.com


Sumit
Singh
University of Delhi, India
India
sumitkumar405@gmail.com
Hurewicz space
Stone$acute{C}$ech compactification
strongly star$mathcal{I}$Hurewicz
star$mathcal{I}$Hurewicz property
1

Topological characterization of chainable sets and chainability via continuous functions
http://www.kjmmath.org/article_123052.html
10.22034/kjm.2020.219320.1710
1
In the last decade, the notions of functionfϵchainability, uniformly functionfϵchainability, functionfϵchainable sets and locally functionfchainable sets were studied in some papers. We show that the notions of functionfϵchainability and uniformly functionfϵchainability are equivalent to the notion of nonultrapseudocompactness in topological spaces. Also, all of these are equivalent to the condition that each pair of nonempty subsets (resp., subsets with nonempty interiors) is functionfϵchainable (resp., locally functionfchainable). Further, we provide a criterion for connectedness with covers. In the paper "Characterization of ϵchainable sets in metric spaces" (Indian J. Pure Appl. Math. 33 (2002), no. 6, 933{940), the chainability of a pair of subsets in a metric space has been defined wrongly and consequently Theorem 1 and Theorem 5 are found to be wrong. We rectify their definition appropriately and consequently, we give appropriate results and counterexamples.
0

77
85


Gholam Reza
Rezaei
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Iran
grezaei@math.usb.ac.ir


Mohammad Sina
Asadzadeh
Department of Mathematics, University of Sistan and Baluchestan, Zahedan,
Iran.
Iran
msina.asadzadeh@pgs.usb.ac.ir


Javad
Jamalzadeh
Department of Mathematics, University of Sistan and Baluchestan, Zahedan,
Iran.
Iran
jamalzadeh1980@math.usb.ac.ir
ϵchainable
functionfchainable
ultrapseudocompact
1

A note on quasilinear parabolic systems in generalized spaces
http://www.kjmmath.org/article_123053.html
10.22034/kjm.2020.211591.1660
1
We study the existence of solutions for quasilinear parabolic systems of the form [partial_tutext{div},sigma(x,t,Du)=fquadtext{in};Q=Omegatimes(0,T),] whose right hand side belongs to $W^{1,x}L_{overline{M}}(Q;R^m)$, supplemented with the conditions $u=0$ on $partialOmegatimes(0,T)$ and $u(x,0)=u_0(x)$ in $Omega$. By using a mild monotonicity condition for $sigma$, namely strict quasimonotone, and the theory of Young measures, we deduce the needed result.
0

86
95


Elhoussine
Azroul
Department of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
Morocco
elhoussine.azroul@gmail.com


Farah
Balaadich
Departement of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
Morocco
balaadich.edp@gmail.com
Quasilinear parabolic systems
OrliczSobolev spaces
Young measures
1

Some numerical radius inequalities for the v{C}ebyv{s}ev functional and noncommutative Hilbert space operators
http://www.kjmmath.org/article_123054.html
10.22034/kjm.2020.205545.1598
1
In this work, a Gruss inequality for positive Hilbert space operators is proved. So, some numerical radius inequalities are proved. On the other hand, based on a noncommutative Binomial formula, a noncommutative upper bound for the numerical radius of the summand of two bounded linear Hilbert space operators is proved. A commutative version is also obtained as well.
0

96
108


Mohammad
Alomari
Jadara University,
Jordan
mwomath@gmail.com
Cebysev functional
Numerical radius
noncommutative operators
1

Maps strongly preserving the square zero of $ lambda $Lie product of operators
http://www.kjmmath.org/article_123055.html
10.22034/kjm.2020.210055.1640
1
Let $mathcal{A}$ be a standard operator algebra on a Banach space $mathcal{X}$ with $dim mathcal{X}geq 2$. In this paper, we characterize the forms of additive maps on $mathcal{A}$ which strongly preserve the square zero of $ lambda $Lie product of operators, i.e., if $phi:mathcal{A}longrightarrow mathcal{A}$ is an additive map which satisfies $$ [A,B]^2_{lambda}=0 Rightarrow [phi(A),B]^2_{lambda}=0,$$ for every $A,B in mathcal{A}$ and for a scalar number $lambda$ with $lambda neq 1$, then it is shown that there exists a function $sigma: mathcal{A} rightarrow mathbb{C}$ such that $phi(A)= sigma(A) A$, for every $A in mathcal{A}$.
0

109
114


Roja
Hosseinzadeh
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 474161468, Babolsar, Iran.
Iran
ro.hosseinzadeh@umz.ac.ir
Preserver problem
Standard operator algebra
$ lambda $Lie product
Lie product
1

Some remarks on chaos in nonautonomous dynamical systems
http://www.kjmmath.org/article_123056.html
10.22034/kjm.2020.209183.1631
1
We introduce the concept of almost thick chaos and continuously almost thick transitivity for continuous maps and nonautonomous dynamical systems (NDS). We show that NDS $f_{1,infty}$ is sensitive if it is thick transitive and syndetic. Under certain conditions, we show that NDS $(X,f_{1,infty})$ generated by a sequence $(f_n)$ of continuous maps on $X$ converging uniformly to $f$ is almost thick transitive if and only if $(X,f)$ is almost thick transitive. Moreover, we prove that if $f_{1,infty}$ is continuously almost thick transitive and syndetic, then it is strongly topologically ergodic. In addition, the relationship between the large deviations theorem and almost thick chaos is studied.
0

115
130


Ali Reza
Zamani Bahabadi
Ferdowsi University of Mashhad
Iran
zamany@um.ac.ir


Mona
Effati
Pure Mathematics, Faculty of Mathematical science, Mashhad, Iran
Iran
mona.effati@mail.um.ac.ir


Bahman
Honary
Ferdowsi university of Mashhhad
Iran
honary@um.ac.ir
Nonautonomous dynamical systems
Transitivity
Sen sitivity
chaos
1

Algorithm for computing a common solution of equilibrium and fixed point problems with setvalued demicontractive operators
http://www.kjmmath.org/article_123057.html
10.22034/kjm.2020.208829.1623
1
In this paper, we introduce an iterative algorithm based on the wellknown KrasnoselskiiMann's method for finding a common element of the set of fixed points of multivalued demicontractive mapping and the set of solutions of an equilibrium problem in a real Hilbert space. Then, strong convergence of the scheme to a common element of the two sets is proved without imposing any compactness condition on the mapping or the space. We further applied our results to solve some optimization problems. Our results improve many recent results using KrasnoselskiiMann's algorithm for solving nonlinear problems.
0

131
139


Thierno
Sow
Gaston Berger university
Senegal
sowthierno89@gmail.com
Explicit algorithm
Setvalued operators
Equilibrium problems
Fixed points problems
1

Existence of renormalized solutions for a class of nonlinear parabolic equations with generalized growth in Orlicz spaces
http://www.kjmmath.org/article_123058.html
10.22034/kjm.2020.184027.1422
1
In this study, we prove an existence result of renormalized solutions for nonlinear parabolic equations of the type $$ displaystylefrac{partial b(x,u)}{partial t} mbox{div}>a(x,t,u,nabla u)mbox{div}> Phi(x,t,u)= f quadmbox{in }{Q_T=Omegatimes (0,T)}, $$ where $b(x,cdot)$ is a strictly increasing $C^1$function for every $xinOmega$ with $b(x,0)=0$, the lower order term $Phi$ satisfies a natural growth condition described by the appropriate Orlicz function $M$ and $f$ is an element of $L^1(Q_T)$. We don't assume any restriction neither on $M$ nor on its conjugate $overline{M}$.
0

140
164


Mohamed
Bourahma
Laboratory of mathematical analysis and applications (LAMA),
Department of mathematics, Faculty of Sciences Dhar el Mahraz,
Sidi Mohamed Ben Abdellah University,
PB 1796 FezAtlas, Fez Morocco
Morocco
mohamedbourahma@gmail.com


Abdelmoujib
Benkirane
Laboratory of mathematical analysis and applications (LAMA),
Department of mathematics, Faculty of Sciences Dhar el Mahraz,
Sidi Mohamed Ben Abdellah University,
PB 1796 FezAtlas, Fez Morocco
Morocco
abd.benkirane@gmail.com


Jaouad
Bennouna
Laboratory of mathematical analysis and applications (LAMA),
Department of mathematics, Faculty of Sciences Dhar el Mahraz,
Sidi Mohamed Ben Abdellah University,
PB 1796 FezAtlas, Fez Morocco
Morocco
jbennouna@hotmail.com
Parabolic problem
Orlicz spaces
Renormalized solutions
Generalized growth