Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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2023-10-31
Space of homeomorphisms under regular topology
Mir Aaliya, Sanjay MishraAbstract : In this paper, we attempt to study several topological properties for the function space ${H(X)}$, space of self-homeomorphisms on a metric space endowed with the regular topology. We investigate its metrizability and countability and prove their coincidence at $X$ compact. Furthermore, we prove that the space ${H(X)}$ endowed with the regular topology is a topological group when $X$ is a metric, almost $P$-space. Moreover, we prove that the homeomorphism spaces of increasing and decreasing functions on $\mathbb R$ under regular topology are open subspaces of $H(\mathbb R)$ and are homeomorphic.
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2023-10-31
Generalized Fourier--Feynman transforms and convolutions for exponential type functions of generalized Brownian motion paths
Jae Gil ChoiAbstract : Let $C_{a,b}[0,T]$ denote the space of continuous sample paths of a generalized Brownian motion process (GBMP). In this paper, we study the structures which exist between the analytic generalized Fourier--Feynman transform (GFFT) and the generalized convolution product (GCP) for functions on the function space $C_{a,b}[0,T]$. For our purpose, we use the exponential type functions on the general Wiener space $C_{a,b}[0,T]$. The class of all exponential type functions is a fundamental set in \linebreak $L_2(C_{a,b}[0,T])$.
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2023-01-31
On the structure of a $k$-annihilating ideal hypergraph of commutative rings
Shaymaa S. Essa, Husam Q. MohammadAbstract : In this paper we obtain a new structure of a $k$-annihilating ideal hypergraph of a reduced ring $R$, by determine the order and size of a hypergraph $\mathcal{AG}_{k}(R)$. Also we describe and count the degree of every nontrivial ideal of a ring $R$ containing in vertex set $\mathcal{A}(R,k)$ of a hypergraph $\mathcal{AG}_{k}(R)$. Furthermore, we prove the diameter of $\mathcal{AG}_{k}(R)$ must be less than or equal to 2. Finally, we determine the minimal dominating set of a $k$-annihilating ideal hypergraph of a ring $R$.
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2022-07-31
Some results on the geometry of a non-conformal deformation of a metric
Nour Elhouda Djaa, Abderrahim ZaganeAbstract : Let $(M^{m},g)$ be an $m$-dimensional Riemannian manifold. In this paper, we introduce a new class of metric on $(M^{m},g)$, obtained by a non-conformal deformation of the metric $g$. First we investigate the Levi-Civita connection of this metric. Secondly we characterize the Riemannian curvature, the sectional curvature and the scalar curvature. In the last section we characterizes some class of proper biharmonic maps. Examples of proper biharmonic maps are constructed when $(M^{m}, g)$ is an Euclidean space.
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2022-10-31
Properties of functions with bounded rotation associated with lima\c{c}on class
Kanwal Jabeen, Afis SaliuAbstract : In this article, we initiate subclasses of functions with boundary and radius rotations that are related to lima\c{c}on domains and examine some of their geometric properties. Radius results associated with functions in these classes and their linear combination are studied. Furthermore, the growth rate of coefficients, arc length and coefficient estimates are derived for these novel classes. Overall, some useful consequences of our findings are also illustrated.
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2024-01-31
Conformal Ricci soliton on paracontact metric $(k,\mu)$-manifolds with Schouten-van Kampen connection
PARDIP MANDAL, MOHAMMAD HASAN SHAHID, SARVESH KUMAR YADAVAbstract : The main object of the present paper is to study conformal Ricci soliton on paracontact metric $(k,\mu)$-manifolds with respect to Schouten-van Kampen connection. Further, we obtain the result when paracontact metric $(k,\mu)$-manifolds with respect to Schouten-van Kampen connection satisfying the condition $\overset{\star}{C}(\xi,U)\cdot\overset{\star}{S}=0$. Finally we characterized concircular curvature tensor on paracontact metric $(k,\mu)$-manifolds with respect to Schouten-van Kampen connection.
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2023-10-31
Complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles
Uday Chand De, Mohammad Nazrul Islam KhanAbstract : The aim of the present paper is to study complete lifts of a semi-symmetric non-metric connection from a Riemannian manifold to its tangent bundles. Some curvature properties of a Riemannian manifold to its tangent bundles with respect to such a connection have been investigated.
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2023-04-30
Two linear polynomials shared by an entire function and its linear differential polynomials
Goutam Kumar GhoshAbstract : In this paper, we study a uniqueness problem of entire functions that share two linear polynomials with its linear differential polynomial. We deduce two theorems which improve some previous results given by I. Lahiri [7].
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2022-10-31
Common fixed point results for generalized orthogonal $F$-Suzuki contraction for family of multivalued mappings in orthogonal $b$-metric spaces
Bahru Tsegaye Leyew, Oluwatosin Temitope MewomoAbstract : In this paper, we introduce a new class of mappings called the generalized orthogonal $F$-Suzuki contraction for a family of multivalued mappings in the setup of orthogonal $b$-metric spaces. We established the existence of some common fixed point results without using any commutativity condition for this new class of mappings in orthogonal $b$-metric spaces. Moreover, we illustrate and support these common fixed point results with example. The results obtained in this work generalize and extend some recent and classical related results in the existing literature.
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2023-01-31
Generalizing some Fibonacci--Lucas relations
Junghyun Hong, Jongmin Lee, Ho ParkAbstract : Edgar obtained an identity between Fibonacci and Lucas numbers which generalizes previous identities of Benjamin--Quinn and Marques. Recently, Dafnis provided an identity similar to Edgar's. In the present article we give some generalizations of Edgar's and Dafnis's identities.
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The independence and independent dominating numbers of the total graph of a finite commutative ring
Baha' Abughazaleh, Omar AbedRabbu Abughneim
Commun. Korean Math. Soc. 2022; 37(4): 969-975
https://doi.org/10.4134/CKMS.c210348 -
Simple formulations on circulant matrices with alternating Fibonacci
Sugi Guritman
Commun. Korean Math. Soc. 2023; 38(2): 341-354
https://doi.org/10.4134/CKMS.c220110 -
Hyers-Ulam stability of fractional stochastic differential equations with random impulse
Dumitru Baleanu, Banupriya Kandasamy, Ramkumar Kasinathan, Ravikumar Kasinathan, Varshini Sandrasekaran
Commun. Korean Math. Soc. 2023; 38(3): 967-982
https://doi.org/10.4134/CKMS.c220231 -
On the Characterization of $F_{0}$-spaces
Mahmoud Benkhalifa
Commun. Korean Math. Soc. 2023; 38(2): 643-648
https://doi.org/10.4134/CKMS.c220179
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Approximately local derivations on $\ell^{1}$-Munn algebras with applications to semigroup algebras
Ahmad Alinejad, Morteza Essmaili, Hatam Vahdati
Commun. Korean Math. Soc. 2023; 38(4): 1101-1110
https://doi.org/10.4134/CKMS.c220364 -
On graded $N$-irreducible ideals of commutative graded rings
Anass Assarrar, Najib Mahdou
Commun. Korean Math. Soc. 2023; 38(4): 1001-1017
https://doi.org/10.4134/CKMS.c230004 -
Multiplicity results of critical local equation related to the genus theory
M. Alimohammady, A. Rezvani, C. Tunc
Commun. Korean Math. Soc. 2023; 38(4): 1045-1061
https://doi.org/10.4134/CKMS.c220308 -
On graded $(m, n)$-closed submodules
Rezvan Varmazyar
Commun. Korean Math. Soc. 2023; 38(4): 993-999
https://doi.org/10.4134/CKMS.c220338
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