ORIGINAL_ARTICLE
Generalized peripherally multiplicative maps between real Lipschitz algebras with involution
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 f\in Lip(X,d):f\circ\tau=\bar{f}\rbrace $. For each $f\in \mathcal{A}$, $\sigma_{\pi,\mathcal{A}}(f)$ 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 $f,g\in \mathcal{A}$, 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 $\tau \circ\varphi=\varphi \circ \eta$ on $Y$ such that $T_{j}(f)=\kappa_{j}\cdot(S_{j}(f)\circ\varphi)$ for all $f\in \mathcal{A}$ 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 $\sigma_{\pi,\mathcal{B}}(T_{1}(f)T_{2}(g))\cap\sigma_{\pi,\mathcal{A}}(S_{1}(f)S_{2}(g))\neq\emptyset$ for all $f,g\in \mathcal{A}$.
http://www.kjm-math.org/article_123046_39ebcb541a05a639e530b9a5a3a5fc0e.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
1
31
10.22034/kjm.2020.200073.1555
Peripheral spectrum
norm multiplicative
peaking function
$(i)$-peaking function
weighted composition operator
Davood
Alimohammadi
d-alimohammadi@araku.ac.ir
true
1
Department of Mathematics, Faculty of Science, Arak University
Department of Mathematics, Faculty of Science, Arak University
Department of Mathematics, Faculty of Science, Arak University
LEAD_AUTHOR
Safoura
Daneshmand
s-daneshmand@phd.araku.ac.ir
true
2
Department of Mathematics, Faculty of Science, Arak University
Department of Mathematics, Faculty of Science, Arak University
Department of Mathematics, Faculty of Science, Arak University
AUTHOR
ORIGINAL_ARTICLE
A cartesian closed subcategory of topological molecular lattices
A category C is called cartesian closed provided that it has ﬁnite products and for each C-object 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.
http://www.kjm-math.org/article_123047_ba83a4356cfaf58601dadafd004634b7.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
32
39
10.22034/kjm.2020.117858.1095
Topological molecular lattices
Exponentiable object
Cartesian closed category
Ghasem
Mirhosseinkhani
gh.mirhosseini@yahoo.com
true
1
Department of Mathematics, Sirjan University of technology
Department of Mathematics, Sirjan University of technology
Department of Mathematics, Sirjan University of technology
LEAD_AUTHOR
Mahboobeh
Akbarpour
b.akbarpour66@gmail.com
true
2
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran
Department of Mathematics, University of Hormozgan, Bandarabbas, Iran
AUTHOR
ORIGINAL_ARTICLE
Almost and weakly NSR, NSM and NSH spaces
In this paper we introduce and study some new types of star-selection principles (almost and weakly neighbourhood star-Menger, neighbourhood star-Rothberger and neighbourhood star-Hurewicz). 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.
http://www.kjm-math.org/article_123048_64af716d7e2165b79e543fdc6760fe3a.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
40
51
10.22034/kjm.2020.224608.1753
Selection principles
star-Menger
star-Rothberger
almost NSM
weakly NSM
Ljubisa
Kocinac
lkocinac@gmail.com
true
1
Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Nis, Serbia
Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Nis, Serbia
Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Nis, Serbia
LEAD_AUTHOR
Rachid
Lakehal
r.lakehal@univ-boumerdes.dz
true
2
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Algeria
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Algeria
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Algeria
AUTHOR
Djamila
Seba
djam_seba@yahoo.fr
true
3
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Algeria
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Algeria
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Algeria
AUTHOR
ORIGINAL_ARTICLE
Numerical simulation for a class of singularly perturbed convection delay problems
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.
http://www.kjm-math.org/article_123049_f09f8c2bf11cfffa3f1889fb0187a397.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
52
64
10.22034/kjm.2020.210616.1650
Parametric cubic spline
Singular perturbation
Oscillatory
Murali Mohan Kumar
Palli
nitmurali@gmail.com
true
1
GMR Institute of Technology
GMR Institute of Technology
GMR Institute of Technology
AUTHOR
A.S.V.
Ravi Kanth
asvravikanth@yahoo.com
true
2
Department of Mathematics National Institute of Technology, Kurukshetra
Department of Mathematics National Institute of Technology, Kurukshetra
Department of Mathematics National Institute of Technology, Kurukshetra
LEAD_AUTHOR
ORIGINAL_ARTICLE
On $S\mathcal{I}H$-property and $SS\mathcal{I}H$-property in topological spaces
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 regular-closed $G_\delta$ 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.
http://www.kjm-math.org/article_123050_260ec1358e9cecfff939e2bfde28a389.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
65
76
10.22034/kjm.2020.209741.1637
Hurewicz space
Stone-$acute{C}$ech compactification
strongly star-$mathcal{I}$-Hurewicz
star-$mathcal{I}$-Hurewicz property
Manoj
Bhardwaj
manojmnj27@gmail.com
true
1
University of Delhi, India
University of Delhi, India
University of Delhi, India
LEAD_AUTHOR
Brij Kishore
Tyagi
brijkishore.tyagi@gmail.com
true
2
A.R.S.D. College, University of Delhi, India
A.R.S.D. College, University of Delhi, India
A.R.S.D. College, University of Delhi, India
AUTHOR
Sumit
Singh
sumitkumar405@gmail.com
true
3
University of Delhi, India
University of Delhi, India
University of Delhi, India
AUTHOR
ORIGINAL_ARTICLE
Topological characterization of chainable sets and chainability via continuous functions
In the last decade, the notions of function-f-ϵ-chainability, uniformly function-f-ϵ-chainability, function-f-ϵ-chainable sets and locally functionf-chainable sets were studied in some papers. We show that the notions of function-f-ϵ-chainability and uniformly function-f-ϵ-chainability are equivalent to the notion of non-ultrapseudocompactness in topological spaces. Also, all of these are equivalent to the condition that each pair of non-empty subsets (resp., subsets with non-empty interiors) is function-f-ϵ-chainable (resp., locally function-f-chainable). Further, we provide a criterion for connectedness with covers. In the paper "Characterization of ϵ-chainable 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.
http://www.kjm-math.org/article_123052_e4c5804fe16f5bd6826091dbe093035d.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
77
85
10.22034/kjm.2020.219320.1710
ϵ-chainable
function-f-chainable
ultrapseudocompact
Gholam Reza
Rezaei
grezaei@math.usb.ac.ir
true
1
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
LEAD_AUTHOR
Mohammad Sina
Asadzadeh
msina.asadzadeh@pgs.usb.ac.ir
true
2
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
AUTHOR
Javad
Jamalzadeh
jamalzadeh1980@math.usb.ac.ir
true
3
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran.
AUTHOR
ORIGINAL_ARTICLE
A note on quasilinear parabolic systems in generalized spaces
We study the existence of solutions for quasilinear parabolic systems of the form \[\partial_tu-\text{div}\,\sigma(x,t,Du)=f\quad\text{in}\;Q=\Omega\times(0,T),\] whose right hand side belongs to $W^{-1,x}L_{\overline{M}}(Q;\R^m)$, supplemented with the conditions $u=0$ on $\partial\Omega\times(0,T)$ 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.
http://www.kjm-math.org/article_123053_c7a14ce25359e34125f6f9f0a926b6b2.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
86
95
10.22034/kjm.2020.211591.1660
Quasilinear parabolic systems
Orlicz-Sobolev spaces
Young measures
Elhoussine
Azroul
elhoussine.azroul@gmail.com
true
1
Department of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
Department of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
Department of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
AUTHOR
Farah
Balaadich
balaadich.edp@gmail.com
true
2
Departement of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
Departement of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
Departement of Mathematics, Faculty of Sciences, Dhar El Mahraz FEZ
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some numerical radius inequalities for the \v{C}eby\v{s}ev functional and non-commutative Hilbert space operators
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 non-commutative Binomial formula, a non-commutative 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.
http://www.kjm-math.org/article_123054_95180e8fafd8455d3b205a32b33c39df.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
96
108
10.22034/kjm.2020.205545.1598
Cebysev functional
Numerical radius
non-commutative operators
Mohammad
Alomari
mwomath@gmail.com
true
1
Jadara University,
Jadara University,
Jadara University,
LEAD_AUTHOR
ORIGINAL_ARTICLE
Maps strongly preserving the square zero of $ \lambda $-Lie product of operators
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 $A \in \mathcal{A}$.
http://www.kjm-math.org/article_123055_e133eab51da403a9932eca15e4692c88.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
109
114
10.22034/kjm.2020.210055.1640
Preserver problem
Standard operator algebra
$ lambda $-Lie product
Lie product
Roja
Hosseinzadeh
ro.hosseinzadeh@umz.ac.ir
true
1
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, P. O. Box 47416-1468, Babolsar, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Some remarks on chaos in nonautonomous dynamical systems
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.
http://www.kjm-math.org/article_123056_08214b4428e55ce385d320df099089aa.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
115
130
10.22034/kjm.2020.209183.1631
Nonautonomous dynamical systems
Transitivity
Sen- sitivity
chaos
Ali Reza
Zamani Bahabadi
zamany@um.ac.ir
true
1
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
Ferdowsi University of Mashhad
LEAD_AUTHOR
Mona
Effati
mona.effati@mail.um.ac.ir
true
2
Pure Mathematics, Faculty of Mathematical science, Mashhad, Iran
Pure Mathematics, Faculty of Mathematical science, Mashhad, Iran
Pure Mathematics, Faculty of Mathematical science, Mashhad, Iran
AUTHOR
Bahman
Honary
honary@um.ac.ir
true
3
Ferdowsi university of Mashhhad
Ferdowsi university of Mashhhad
Ferdowsi university of Mashhhad
AUTHOR
ORIGINAL_ARTICLE
Algorithm for computing a common solution of equilibrium and fixed point problems with set-valued demicontractive operators
In this paper, we introduce an iterative algorithm based on the well-known Krasnoselskii-Mann'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 Krasnoselskii-Mann's algorithm for solving nonlinear problems.
http://www.kjm-math.org/article_123057_4862cd9ff26a4cf82d42841c7c89291d.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
131
139
10.22034/kjm.2020.208829.1623
Explicit algorithm
Set-valued operators
Equilibrium problems
Fixed points problems
Thierno
Sow
sowthierno89@gmail.com
true
1
Gaston Berger university
Gaston Berger university
Gaston Berger university
LEAD_AUTHOR
ORIGINAL_ARTICLE
Existence of renormalized solutions for a class of nonlinear parabolic equations with generalized growth in Orlicz spaces
In this study, we prove an existence result of renormalized solutions for nonlinear parabolic equations of the type $$ \displaystyle\frac{\partial b(x,u)}{\partial t} -\mbox{div}\>a(x,t,u,\nabla u)-\mbox{div}\> \Phi(x,t,u)= f \quad\mbox{in }{Q_T=\Omega\times (0,T)}, $$ where $b(x,\cdot)$ is a strictly increasing $C^1$-function for every $x\in\Omega$ 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 $\overline{M}$.
http://www.kjm-math.org/article_123058_ec70c31a8cafddd00c989b31bea2f469.pdf
2021-01-01T11:23:20
2021-04-11T11:23:20
140
164
10.22034/kjm.2020.184027.1422
Parabolic problem
Orlicz spaces
Renormalized solutions
Generalized growth
Mohamed
Bourahma
mohamedbourahma@gmail.com
true
1
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
LEAD_AUTHOR
Abdelmoujib
Benkirane
abd.benkirane@gmail.com
true
2
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
AUTHOR
Jaouad
Bennouna
jbennouna@hotmail.com
true
3
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
Laboratory of mathematical analysis and applications (LAMA), Department of mathematics, Faculty of Sciences Dhar el Mahraz, Sidi Mohamed Ben Abdellah University, PB 1796 Fez-Atlas, Fez Morocco
AUTHOR