@article{Sun_Li_Su_Han_Xia_2020, title={The depth and the attracting centre for a continuous map on a fuzzy metric interval}, volume={21}, url={https://ojs.upv.es/index.php/AGT/article/view/13126}, DOI={10.4995/agt.2020.13126}, abstractNote={<p>Let I be a fuzzy metric interval and f be a continuous map from I to I. Denote by R(f), Ω(f) and ω(x, f) the set of recurrent points of f, the set of non-wandering points of f and the set of ω- limit points of x under f, respectively. Write ω(f) = âˆªxâˆˆIω(x, f), ωn+1(f) = âˆªxâˆˆωn(f)ω(x, f) and Ωn+1(f) = Ω(f|Ωn(f)) for any positive integer n. In this paper, we show that Ω2(f) = R(f) and the depth of f is at most 2, and ω3(f) = ω2(f) and the depth of the attracting centre of f is at most 2.</p>}, number={2}, journal={Applied General Topology}, author={Sun, Taixiang and Li, Lue and Su, Guangwang and Han, Caihong and Xia, Guoen}, year={2020}, month={Oct.}, pages={285–294} }