Zobrazeno 1 - 10
of 1 218
pro vyhledávání: '"Park, Choonkil"'
In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.
Externí odkaz:
http://arxiv.org/abs/2410.03990
Using the direct method, we prove the generalised Hyers-Ulam stability of the following functional equation \begin{equation} \phi(x+y, z+w)+\phi(x-y, z-w)-2 \phi(x, z)-2 \phi(x, w)=0 \end{equation} in modular space satisfying the Fatou property or $\
Externí odkaz:
http://arxiv.org/abs/2406.15436
Recently, Bemrose et al. \cite{BE} developed a theory of weaving frames, which was motivated by a problem regarding distributed signal processing. In this present article, we introduce the atomic $g$-system and we generalize some of the known results
Externí odkaz:
http://arxiv.org/abs/2401.00969
In this paper, we present controlled finite continuous frames in a finite dimensional Hilbert space and we study some properties of them. Parseval controlled integral frames are presented and we characterize operators that construct controlled integr
Externí odkaz:
http://arxiv.org/abs/2310.05992
Autor:
Hosseini, Amin, Park, Choonkil
Let $\mathcal{A}$ and $\mathcal{B}$ be two algebras and let $n$ be a positive integer. A linear mapping $D:\mathcal{A} \rightarrow \mathcal{B}$ is called a \emph{strongly generalized derivation of order $n$} if there exist families of linear mappings
Externí odkaz:
http://arxiv.org/abs/2308.16367
The goal of our work is to investigate the oscillation and asymptotic properties of a class of difference equations with a condition. In contrast to most previous studies, the oscillation of the investigated equation is obtained with only one conditi
Externí odkaz:
http://arxiv.org/abs/2308.05885
The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$ on a Hilbert pro-$C^{\ast}$-module $\mat
Externí odkaz:
http://arxiv.org/abs/2212.07004
Autor:
Donganont Siriluk, Park Choonkil
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 3319-3327 (2024)
In this study, we solve the system of additive functional equations: h(x+y)=h(x)+h(y),g(x+y)=f(x)+f(y),2fx+y2=g(x)+g(y),\left\{\begin{array}{l}h\left(x+y)=h\left(x)+h(y),\\ g\left(x+y)=f\left(x)+f(y),\\ 2f\left(\frac{x+y}{2}\right)=g\left(x)+g(y),\en
Externí odkaz:
https://doaj.org/article/51945d9e2dbc481388a848c7d00b060b
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 5556309-32 (2024)
This article presents a higher-order circular intuitionistic fuzzy time series forecasting method for predicting the stock change index, which is shown to be an improvement over traditional time series forecasting methods. The method is based on the
Externí odkaz:
https://doaj.org/article/eb9d5ac9783a4471a6870a82d42259d0
Publikováno v:
Demonstratio Mathematica, Vol 56, Iss 1, Pp 179-192 (2023)
The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Eule
Externí odkaz:
https://doaj.org/article/4b5469036c7245e98b4de7324a523302