Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2023-07-31
The pseudospectra of bounded linear operators on quasi normed space
Aymen ammar, Ameni Bouchekoua, Nawrez LazragAbstract : In this paper, we introduce the pseudospectra of bounded linear operators on quasi normed space and study its proprieties. Beside that, we establish the relationship between the pseudospectra of a sequence of bounded linear operators and its limit.
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2024-07-31
On differential identities involving partitioning ideals of semirings
Liaqat Ali, Muhammad Aslam, Ghulam Farid, Tariq MahmoodAbstract : In this article, we study a certain class of partitioning ideals known as $Q$-ideals, in semirings. Main objective is to investigate differential identities linking a semiring $S$ to its prime $Q$-ideal $I_Q$, which ensure the commutativity and other features of $S/I_Q$.
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2024-04-30
Parallel shrinking projection method for fixed point and generalized equilibrium problems on Hadamard manifold
HAMMED ANUOLUWAPO ABASS
, KAZEEM OLAWALE OYEWOLEAbstract : In this article, we propose a shrinking projection algorithm for solving a finite family of generalized equilibrium problem which is also a fixed point of a nonexpansive mapping in the setting of Hadamard manifolds. Under some mild conditions, we prove that the sequence generated by the proposed algorithm converges to a common solution of a finite family of generalized equilibrium problem and fixed point problem of a nonexpansive mapping. Lastly, we present some numerical examples to illustrate the performance of our iterative method. Our results extends and improve many related results on generalized equilibrium problem from linear spaces to Hadamard manifolds. The result discuss in this article extends and complements many related results in the literature.
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2024-04-30
Invariant null rigged hypersurfaces of indefinite nearly ${\alpha}$-Sasakian manifolds
Mohamed H. A. Hamed, Fortune MassambaAbstract : We introduce invariant rigged null hypersurfaces of indefinite almost contact manifolds, by paying attention to those of indefinite nearly $\alpha$-Sasakian manifolds. We prove that, under some conditions, there exist leaves of the integrable screen distribution of the ambient manifolds admitting nearly $\alpha$-Sasakian structures.
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2024-04-30
Utilizing coupling strategy to generate a new simple 7d hyperchaotic system and its circuit application
Saad Fawzi Al-AzzawiAbstract : By utilizing coupling the strategy in the 5D Sprott B system, a new no equilibrium 7D hyperchaotic system is introduced. Despite the proposed system being simple with twelve-term, including solely two cross product nonlinearities, it displays extremely rich dynamical features such as hidden attractors and the dissipative and conservative nature. Besides, this system has largest Kaplan-Yorke dimension compared with to the work available in the literature. The dynamical properties are fully investigated via Matlab 2021 software from several aspects of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, offset boosting and so on. Moreover, the corresponding circuit is done through Multisim 14.2 software and preform to verify the new 7D system. The numerical simulations wit carryout via both software are agreement which indicates the efficiency of the proposed system.
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2023-04-30
Generalized hyperbolic geometric flow
Shahroud Azami, Ghodratallah Fasihi~Ramandi, Vahid PirhadiAbstract : In the present paper, we consider a kind of generalized hyperbolic geometric flow which has a gradient form. Firstly, we establish the existence and uniqueness for the solution of this flow on an $n$-dimensional closed Riemannian manifold. Then, we give the evolution of some geometric structures of the manifold along this flow.
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2023-07-31
Coloring links by the symmetric group of degree three
Kazuhiro Ichihara, Eri MatsudoAbstract : We consider the number of colors for colorings of links by the symmetric group $S_3$ of degree $3$. For knots, such a coloring corresponds to a Fox 3-coloring, and thus the number of colors must be 1 or 3. However, for links, there are colorings by $S_3$ with 4 or 5 colors. In this paper, we show that if a 2-bridge link admits a coloring by $S_3$ with 5 colors, then the link also admits such a coloring with only 4 colors.
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2024-01-31
The class of $p$-demicompact operators on lattice normed spaces
Imen Ferjani, Bilel KrichenAbstract : In the present paper, we introduce a new class of operators called $p$-demicompact operators between two lattice normed spaces $X$ and $Y$. We study the basic properties of this class. Precisely, we give some conditions under which a $p$-bounded operator be $p$-demicompact. Also, a sufficient condition is given, under which each $p$-demicompact operator has a modulus which is $p$-demicompact. Further, we put in place some properties of this class of operators on lattice normed spaces.
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2024-07-31
On $\eta-$generalized derivations in rings with Jordan involution
Phool MiyanAbstract : Let $\mathscr{K}$ be a ring. An additive map $\mathfrak{u}^\diamond\rightarrow \mathfrak{u}$ is called Jordan involution on $\mathscr{K}$ if $(\mathfrak{u}^\diamond)^\diamond=\mathfrak{u}$ and $(\mathfrak{u}\mathfrak{v}+\mathfrak{v}\mathfrak{u})^\diamond=\mathfrak{u}^{\diamond}\mathfrak{v}^{\diamond}+\mathfrak{v}^{\diamond}\mathfrak{u}^{\diamond}$ for all $\mathfrak{u},\mathfrak{v}\in \mathscr{K}$. If $\Theta$ is a (non-zero) $\eta-$generalized derivation on $\mathscr{K}$ associated with a derivation $\Omega$ on $\mathscr{K}$, then it is shown that $\Theta(\mathfrak{u})=\gamma \mathfrak{u}$ for all $\mathfrak{u}\in \mathscr{K}$ such that $\gamma\in \Xi$ and $\gamma^2=1$, whenever $\Theta$ possesses $[\Theta(\mathfrak{u}), \Theta(\mathfrak{u}^\diamond)]=[\mathfrak{u},\mathfrak{u}^\diamond]$ for all $\mathfrak{u}\in \mathscr{K}$.
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2024-01-31
On the generalized Ornstein-Uhlenbeck operators with regular and singular potentials in weighted $L^{p}$-spaces
Imen MetouiAbstract : In this paper, we give sufficient conditions for the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials \begin{align*} A_{\Phi,G,V,c} = \Delta-\nabla \Phi\cdot\nabla+G\cdot \nabla-V+c|x|^{-2} \end{align*} with a suitable domain generates a quasi-contractive, positive and analytic $C_{0}$-semigroup in $L^{p}(\mathbb{R}^{N},e^{-\Phi(x)}dx)$, $1
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Study of quotient near-rings with additive maps
Abdelkarim Boua, Abderrahmane Raji, Abdelilah Zerbane
Commun. Korean Math. Soc. 2024; 39(2): 353-361
https://doi.org/10.4134/CKMS.c230233 -
Fractional integration and differentiation of the $(p,q)$--extended modified Bessel function of the second kind and integral transforms
Purnima Chopra, Mamta Gupta, Kanak Modi
Commun. Korean Math. Soc. 2023; 38(3): 755-772
https://doi.org/10.4134/CKMS.c220132 -
Convergence of sequences in generalized topological spaces via filter
Julio C. Ramos-Fernández, Ennis Rosas, Margot Salas-Brown
Commun. Korean Math. Soc. 2023; 38(3): 901-911
https://doi.org/10.4134/CKMS.c220251 -
A variant of Wilson's functional equation on semigroups
YOUSSEF ASERRAR, ABDELLATIF CHAHBI, ELHOUCIEN ELQORACHI
Commun. Korean Math. Soc. 2023; 38(4): 1063-1074
https://doi.org/10.4134/CKMS.c220315
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On a special class of matrix rings
Arnab Bhattacharjee
Commun. Korean Math. Soc. 2024; 39(2): 267-278
https://doi.org/10.4134/CKMS.c220356 -
A characterization of zero divisors and topological divisors of zero in $C[a,b]$ and $\ell^\infty$
Harish Chandra, Anurag Kumar Patel
Commun. Korean Math. Soc. 2023; 38(2): 451-459
https://doi.org/10.4134/CKMS.c220108 -
A note on certain transformation formulas related to Appell, Horn and Kamp\'{e} de F\'{e}riet functions
Asmaa Orabi Mohammed, Medhat Ahmed Rakha, Arjun K. Rathie
Commun. Korean Math. Soc. 2023; 38(3): 807-819
https://doi.org/10.4134/CKMS.c220217 -
A weaker notion of the finite factorization property
Henry Jiang, Shihan Kanungo, Hwisoo Kim
Commun. Korean Math. Soc. 2024; 39(2): 313-329
https://doi.org/10.4134/CKMS.c230178
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