Lue Li
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Lue Li has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Caihong Han
College of Mathematics and Quantitative Economy, Guangxi University of Finance and Economics, Nanning, 530003, China
3 shared publications - Guangwang Su
Guangxi University of Finance and Economics
3 shared publications - Taixiang Sun
Guangxi University of Finance and Economics
3 shared publications - Bin Qin
Guangxi University of Finance and Economics
1 shared publication Guoen Xia
College of Information and Statistics Guangxi University of Finance and Economics 530003 Nanning China
1 shared publication
Latest Publications
- 15 September 2022
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 38 (9) , 1643-1652
The Depths and the Attracting Centres for Continuous Maps on a Dendrite Whose Rank is Finite
- 15 September 2022
- Published by Springer Nature in Acta Mathematica Sinica, English Series
- Vol. 38 (9) , 1643-1652
The Depths and the Attracting Centres for Continuous Maps on a Dendrite Whose Rank is Finite
- Open Access
- 1 January 2021
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 22 (2) , 311-319
The periodic points of ε-contractive maps in fuzzy metric spaces
In this paper, we introduce the notion of epsilon-contractive maps in fuzzy metric space (X, M, *) and study the periodicities of epsilon-contractive maps. We show that if (X, M, *) is compact and f : X -> X is epsilon-contractive, then P(f) = boolean AND(infinity)(n=1)f(n)(X) and each connected component of X contains at most one periodic point of f, where P(f) is the set of periodic points off. Furthermore, we present two examples to illustrate the applicability of the obtained results.
- 1 January 2021
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 22 (2) , 311-319
Open AccessThe periodic points of ε-contractive maps in fuzzy metric spaces
In this paper, we introduce the notion of epsilon-contractive maps in fuzzy metric space (X, M, *) and study the periodicities of epsilon-contractive maps. We show that if (X, M, *) is compact and f : X -> X is epsilon-contractive, then P(f) = boolean AND(infinity)(n=1)f(n)(X) and each connected component of X contains at most one periodic point of f, where P(f) is the set of periodic points off. Furthermore, we present two examples to illustrate the applicability of the obtained results.
- Open Access
- 1 October 2020
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 21 (2) , 285-294
The depth and the attracting centre for a continuous map on a fuzzy metric interval
Let $I$ be a fuzzy metric interval and $f$ be a continuous map from $I$ to $I$. Denote by $R(f)$, $\Omega(f)$ and $\omega (x,f)$ the set of recurrent points of $f$, the set of non-wandering points of $f$ and the set of $\omega$- limit points of $x$ under $f$, respectively. Write $\omega(f)=\cup_{x\in I}\omega(x,f)$, $\omega^{n+1}(f)=\cup_{x\in \omega^n(f)}\omega (x,f)$ and $\Omega_{n+1} (f)=\Omega (f|_{\Omega_{n} (f)})$ for any positive integer $n$. In this paper, we show that $\Omega_2(f)=\overline{R(f)}$ and the depth of $f$ is at most 2, and $\omega^3(f)=\omega^2 (f)$ and the depth of the attracting centre of $f$ is at most 2.- 1 October 2020
- Published by Universitat Politecnica de Valencia in Applied General Topology
- Vol. 21 (2) , 285-294
Open AccessThe depth and the attracting centre for a continuous map on a fuzzy metric interval
Let $I$ be a fuzzy metric interval and $f$ be a continuous map from $I$ to $I$. Denote by $R(f)$, $\Omega(f)$ and $\omega (x,f)$ the set of recurrent points of $f$, the set of non-wandering points of $f$ and the set of $\omega$- limit points of $x$ under $f$, respectively. Write $\omega(f)=\cup_{x\in I}\omega(x,f)$, $\omega^{n+1}(f)=\cup_{x\in \omega^n(f)}\omega (x,f)$ and $\Omega_{n+1} (f)=\Omega (f|_{\Omega_{n} (f)})$ for any positive integer $n$. In this paper, we show that $\Omega_2(f)=\overline{R(f)}$ and the depth of $f$ is at most 2, and $\omega^3(f)=\omega^2 (f)$ and the depth of the attracting centre of $f$ is at most 2.