TY - JOUR
AU - Sun, Taixiang
AU - Han, Caihong
AU - Su, Guangwang
AU - Qin, Bin
AU - Li, Lue
PY - 2021/10/01
Y2 - 2023/06/03
TI - The periodic points of ε-contractive maps in fuzzy metric spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 22
IS - 2
SE -
DO - 10.4995/agt.2021.14449
UR - https://polipapers.upv.es/index.php/AGT/article/view/14449
SP - 311-319
AB - <p>In this paper, we introduce the notion of ε-contractive maps in fuzzy metric space (X, M, âˆ—) and study the periodicities of ε-contractive maps. We show that if (X, M, âˆ—) is compact and f : X âˆ’â†’ X is ε-contractive, then P(f) = âˆ© âˆžn=1f 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 of f. Furthermore, we present two examples to illustrate the applicability of the obtained results.</p>
ER -